138114849600
138,114,849,600 is an even composite number composed of six prime numbers multiplied together.
What does the number 138114849600 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1680 divisors.
138114849600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 138114849600:
26 × 34 × 52 × 73 × 13 × 239
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 13 × 239)See below for interesting mathematical facts about the number 138114849600 from the Numbermatics database.
Names of 138114849600
- Cardinal: 138114849600 can be written as One hundred thirty-eight billion, one hundred fourteen million, eight hundred forty-nine thousand, six hundred.
Scientific notation
- Scientific notation: 1.381148496 × 1011
Factors of 138114849600
Divisors of 138114849600
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 27 28 30 32 35 36 39 40 42 45 48 49 50 52 54 56 60 63 64 65 70 72 75 78 80 81 84 90 91 96 98 100 104 105 108 112 117 120 126 130 135 140 144 147 150 156 160 162 168 175 180 182 189 192 195 196 200 208 210 216 224 225 234 239 240 245 252 260 270 273 280 288 294 300 312 315 320 324 325 336 343 350 351 360 364 378 390 392 400 405 416 420 432 441 448 450 455 468 478 480 490 504 520 525 540 546 560 567 576 585 588 600 624 630 637 648 650 672 675 686 700 702 717 720 728 735 756 780 784 800 810 819 832 840 864 882 900 910 936 945 956 960 975 980 1008 1029 1040 1050 1053 1080 1092 1120 1134 1170 1176 1195 1200 1225 1248 1260 1274 1296 1300 1323 1344 1350 1365 1372 1400 1404 1434 1440 1456 1470 1512 1560 1568 1575 1600 1620 1638 1673 1680 1715 1728 1755 1764 1800 1820 1872 1890 1911 1912 1950 1960 2016 2025 2058 2080 2100 2106 2151 2160 2184 2205 2240 2268 2275 2340 2352 2390 2400 2450 2457 2496 2520 2548 2592 2600 2646 2700 2730 2744 2800 2808 2835 2868 2880 2912 2925 2940 3024 3087 3107 3120 3136 3150 3185 3240 3276 3346 3360 3430 3510 3528 3585 3600 3640 3675 3744 3780 3822 3824 3900 3920 3969 4032 4050 4095 4116 4160 4200 4212 4302 4320 4368 4410 4459 4536 4550 4680 4704 4725 4780 4800 4900 4914 5019 5040 5096 5145 5184 5200 5265 5292 5400 5460 5488 5600 5616 5670 5733 5736 5824 5850 5880 5975 6048 6174 6214 6240 6300 6370 6453 6480 6552 6615 6692 6720 6825 6860 7020 7056 7170 7200 7280 7350 7371 7488 7560 7644 7648 7800 7840 7938 8100 8190 8232 8365 8400 8424 8575 8604 8640 8736 8775 8820 8918 9072 9100 9261 9321 9360 9408 9450 9555 9560 9800 9828 10038 10080 10192 10290 10400 10530 10584 10755 10800 10920 10976 11025 11200 11232 11340 11466 11472 11700 11711 11760 11950 12096 12285 12348 12428 12480 12600 12740 12906 12960 13104 13230 13377 13384 13650 13720 14040 14112 14175 14340 14400 14560 14700 14742 15057 15120 15288 15296 15435 15535 15600 15680 15876 15925 16200 16380 16464 16730 16800 16848 17150 17199 17208 17472 17550 17640 17836 17925 18144 18200 18522 18642 18720 18900 19110 19120 19359 19600 19656 19845 20076 20160 20384 20475 20580 20800 21060 21168 21510 21600 21749 21840 21952 22050 22295 22464 22680 22932 22944 23400 23422 23520 23900 24570 24696 24856 25095 25200 25480 25725 25812 25920 26208 26325 26460 26754 26768 27300 27440 27783 27963 28080 28224 28350 28665 28680 29120 29400 29484 30114 30240 30576 30870 31070 31200 31752 31850 32265 32400 32760 32928 33075 33460 33600 33696 34300 34398 34416 35100 35133 35280 35672 35850 36288 36400 36855 37044 37284 37440 37800 38220 38240 38718 39200 39312 39690 40131 40152 40768 40950 41160 41825 42120 42336 43020 43200 43498 43680 44100 44590 45171 45360 45864 45888 46305 46605 46800 46844 47040 47775 47800 49140 49392 49712 50190 50400 50960 51450 51597 51624 52416 52650 52920 53508 53536 53775 54600 54880 55566 55926 56160 56700 57330 57360 58555 58800 58968 60228 60480 61152 61425 61740 62140 62400 63504 63700 64530 64800 65247 65520 65856 66150 66885 66920 67392 68600 68796 68832 70200 70266 70560 71344 71700 72800 73710 74088 74568 75285 75600 76440 76480 77175 77436 77675 78400 78624 79380 80262 80304 81900 81977 82320 83650 83889 84240 84672 85995 86040 86996 87360 88200 89180 90342 90720 91728 92610 93210 93600 93688 95550 95600 96795 98280 98784 99225 99424 100380 100800 101920 102900 103194 103248 105300 105399 105840 107016 107072 107550 108745 109200 109760 111132 111475 111852 112320 113400 114660 114720 117110 117600 117936 120393 120456 122304 122850 123480 124280 125475 127008 127400 129060 129600 130494 131040 132300 133770 133840 135513 137200 137592 137664 138915 139815 140400 140532 141120 142688 143325 143400 145600 147420 148176 149136 150570 151200 152243 152880 154350 154872 155350 157248 158760 160524 160608 161325 163800 163954 164640 167300 167778 168480 171990 172080 173992 175665 176400 178360 180684 181440 183456 184275 185220 186420 187200 187376 191100 191200 193590 195741 196560 197568 198450 198848 200655 200760 203840 205800 206388 206496 210600 210798 211680 214032 215100 217490 218400 222264 222950 223704 225855 226800 229320 229440 231525 233025 234220 235200 235872 240786 240912 245700 245931 246960 248560 250950 251667 254016 254800 257985 258120 260988 262080 264600 267540 267680 271026 274400 275184 277830 279630 280800 281064 285376 286650 286800 292775 294840 296352 298272 301140 302400 304486 305760 308700 309744 310700 316197 317520 321048 321216 322650 326235 327600 327908 329280 334425 334600 335556 336960 343980 344160 347984 351330 352800 356720 361179 361368 366912 368550 370440 372840 374752 376425 382200 382400 387180 391482 393120 396900 401310 401520 409885 411600 412776 412992 419445 421200 421596 423360 428064 429975 430200 434980 436800 444528 445900 447408 451710 453600 456729 458640 463050 466050 468440 471744 481572 481824 483975 491400 491862 493920 497120 501900 503334 509600 515970 516240 521976 526995 529200 535080 535360 542052 543725 548800 550368 555660 559260 561600 562128 573300 573600 585550 587223 589680 592704 596544 601965 602280 608972 611520 617400 619488 621400 632394 635040 642096 645300 652470 655200 655816 668850 669200 671112 677565 687960 688320 694575 695968 699075 702660 705600 713440 722358 722736 737100 737793 740880 745680 749504 752850 761215 764400 774360 782964 786240 793800 802620 803040 819770 823200 825552 838890 842400 843192 856128 859950 860400 869960 878325 889056 891800 894816 903420 907200 913458 917280 926100 932100 936880 948591 963144 963648 967950 978705 982800 983724 987840 994240 1003275 1003800 1006668 1019200 1031940 1032480 1043952 1053990 1058400 1065701 1070160 1084104 1087450 1100736 1111320 1118520 1124256 1129275 1146600 1147200 1171100 1174446 1179360 1203930 1204560 1217944 1229655 1234800 1238976 1242800 1258335 1264788 1270080 1284192 1289925 1290600 1304940 1310400 1311632 1337700 1338400 1342224 1355130 1370187 1375920 1389150 1391936 1398150 1405320 1426880 1444716 1445472 1474200 1475586 1481760 1491360 1505700 1522430 1528800 1548720 1565928 1580985 1587600 1605240 1606080 1631175 1639540 1646400 1651104 1677780 1684800 1686384 1719900 1720800 1739920 1756650 1761669 1778112 1783600 1789632 1805895 1806840 1826916 1834560 1852200 1864200 1873760 1897182 1926288 1935900 1957410 1965600 1967448 2006550 2007600 2013336 2049425 2063880 2064960 2087904 2097225 2107980 2116800 2131402 2140320 2168208 2174900 2213379 2222640 2237040 2248512 2258550 2283645 2293200 2342200 2348892 2358720 2407860 2409120 2435888 2459310 2469600 2485600 2516670 2529576 2568384 2579850 2581200 2609880 2623264 2634975 2675400 2676800 2684448 2710260 2740374 2751840 2778300 2796300 2810640 2889432 2890944 2936115 2948400 2951172 2963520 2982720 3009825 3011400 3044860 3057600 3097440 3131856 3161970 3175200 3197103 3210480 3262350 3279080 3302208 3355560 3372768 3387825 3439800 3441600 3479840 3513300 3523338 3567200 3611790 3613680 3653832 3688965 3704400 3728400 3747520 3794364 3806075 3852576 3871800 3914820 3931200 3934896 4013100 4015200 4026672 4098850 4110561 4127760 4175808 4194450 4215960 4262804 4280640 4336416 4349800 4426758 4445280 4474080 4517100 4567290 4586400 4684400 4697784 4742955 4815720 4818240 4871776 4893525 4918620 4939200 4971200 5033340 5059152 5159700 5162400 5219760 5246528 5269950 5328505 5350800 5368896 5420520 5480748 5503680 5556600 5592600 5621280 5778864 5872230 5896800 5902344 6019650 6022800 6089720 6148275 6194880 6263712 6291675 6323940 6350400 6394206 6420960 6524700 6558160 6640137 6711120 6745536 6775650 6850935 6879600 6959680 7026600 7046676 7134400 7223580 7227360 7307664 7377930 7408800 7456800 7588728 7612150 7705152 7743600 7829640 7869792 7904925 8026200 8030400 8053344 8197700 8221122 8255520 8388900 8431920 8525608 8672832 8699600 8808345 8853516 8890560 8948160 9029475 9034200 9134580 9172800 9368800 9395568 9485910 9591309 9631440 9743552 9787050 9837240 10066680 10118304 10319400 10324800 10439520 10539900 10657010 10701600 10841040 10961496 11066895 11113200 11185200 11242560 11418225 11557728 11744460 11793600 11804688 12039300 12045600 12179440 12296550 12331683 12527424 12583350 12647880 12788412 12841920 13049400 13116320 13280274 13422240 13551300 13701870 13759200 14053200 14093352 14447160 14454720 14615328 14680575 14755860 14817600 14913600 15177456 15224300 15487200 15659280 15739584 15809850 15985515 16052400 16106688 16395400 16442244 16511040 16777800 16863840 17051216 17399200 17616690 17707032 18058950 18068400 18269160 18444825 18737600 18791136 18971820 19182618 19262880 19574100 19674480 20133360 20236608 20552805 20638800 20879040 21079800 21314020 21403200 21682080 21922992 22133790 22226400 22370400 22836450 23115456 23488920 23609376 23714775 24078600 24091200 24358880 24593100 24663366 25166700 25295760 25576824 26098800 26232640 26560548 26642525 26844480 27102600 27403740 27518400 28106400 28186704 28773927 28894320 29230656 29361150 29511720 30354912 30448600 30974400 31318560 31619700 31971030 32104800 32790800 32884488 33200685 33555600 33727680 34102432 34254675 34798400 35233380 35414064 36117900 36136800 36538320 36889650 37582272 37943640 38365236 38525760 39148200 39348960 40266720 41105610 41277600 42159600 42628040 43364160 43845984 44041725 44267580 44452800 44740800 45672900 46977840 47218752 47429550 47956545 48157200 48717760 49186200 49326732 50333400 50591520 51153648 52197600 53121096 53285050 54205200 54807480 55334475 56212800 56373408 57547854 57788640 58722300 59023440 60709824 60897200 61658415 62637120 63239400 63942060 64209600 65581600 65768976 66401370 67111200 68204864 68509350 70466760 70828128 72235800 72273600 73076640 73779300 75887280 76730472 78296400 78697920 79927575 80533440 82211220 82555200 84319200 85256080 86321781 87691968 88083450 88535160 91345800 93955680 94859100 95913090 96314400 98372400 98653464 100666800 101183040 102307296 102764025 104395200 106242192 106570100 108410400 109614960 110668950 112746816 115095708 115577280 117444600 118046880 121794400 123316830 126478800 127884120 131163200 131537952 132802740 134222400 137018700 140933520 141656256 143869635 144471600 146153280 147558600 151774560 153460944 156592800 159855150 164422440 166003425 168638400 170512160 172643562 176166900 177070320 182691600 187911360 189718200 191826180 192628800 196744800 197306928 201333600 204614592 205528050 212484384 213140200 216820800 219229920 221337900 230191416 234889200 236093760 239782725 243588800 246633660 252957600 255768240 263075904 265605480 274037400 281867040 287739270 288943200 295117200 303549120 306921888 308292075 313185600 319710300 328844880 332006850 341024320 345287124 352333800 354140640 365383200 379436400 383652360 393489600 394613856 402667200 411056100 424968768 426280400 431608905 438459840 442675800 460382832 469778400 479565450 493267320 505915200 511536480 531210960 548074800 563734080 575478540 577886400 590234400 613843776 616584150 639420600 657689760 664013700 690574248 704667600 708281280 719348175 730766400 758872800 767304720 789227712 822112200 852560800 863217810 885351600 920765664 939556800 959130900 986534640 1023072960 1062421920 1096149600 1150957080 1180468800 1233168300 1278841200 1315379520 1328027400 1381148496 1409335200 1438696350 1517745600 1534609440 1644224400 1705121600 1726435620 1770703200 1841531328 1918261800 1973069280 2124843840 2158044525 2192299200 2301914160 2466336600 2557682400 2656054800 2762296992 2818670400 2877392700 3069218880 3288448800 3452871240 3541406400 3836523600 3946138560 4316089050 4603828320 4932673200 5115364800 5312109600 5524593984 5754785400 6576897600 6905742480 7673047200 8632178100 9207656640 9865346400 10624219200 11509570800 13811484960 15346094400 17264356200 19730692800 23019141600 27622969920 34528712400 46038283200 69057424800 138114849600
- Sum of all divisors σ(n): 640250688000
- Sum of proper divisors (its aliquot sum) s(n): 502135838400
- 138114849600 is an abundant number, because the sum of its proper divisors (502135838400) is greater than itself. Its abundance is 364020988800
Bases of 138114849600
- Binary: 100000001010000100100101011011010000002
- Hexadecimal: 0x2028495B40
- Base-36: 1RG60K00
Squares and roots of 138114849600
- 138114849600 squared (1381148496002) is 19075711680030620160000
- 138114849600 cubed (1381148496003) is 2634639049700392426793127936000000
-
The
square root of 138114849600 is 371638.0626362159 -
The
cube root of 138114849600 is 5169.0824356475
Scales and comparisons
How big is 138114849600?- 138,114,849,600 seconds is equal to 4,391 years, 32 weeks, 3 days, 12 hours.
-
To count from 1 to 138,114,849,600 would take you about eight thousand, seven hundred eighty-three years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 138114849600 cubic inches would be around 430.8 feet tall.
Recreational maths with 138114849600
- 138114849600 backwards is 006948411831
- 138114849600 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138114849600's digits is 45
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138114849600 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
APA style:
Numbermatics. (2024). Number 138114849600 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/138114849600/
Chicago style:
Numbermatics. 2024. "Number 138114849600 - Facts about the integer". https://numbermatics.com/n/138114849600/
The information we have on file for 138114849600 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 138114849600, math, Factors of 138114849600, curriculum, school, college, exams, university, Prime factorization of 138114849600, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, one hundred fourteen million, eight hundred forty-nine thousand, six hundred.