138157601400
138,157,601,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 138157601400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1296 divisors.
138157601400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 138157601400:
23 × 38 × 52 × 7 × 132 × 89
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 13 × 13 × 89)See below for interesting mathematical facts about the number 138157601400 from the Numbermatics database.
Names of 138157601400
- Cardinal: 138157601400 can be written as One hundred thirty-eight billion, one hundred fifty-seven million, six hundred one thousand, four hundred.
Scientific notation
- Scientific notation: 1.381576014 × 1011
Factors of 138157601400
Divisors of 138157601400
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 18 20 21 24 25 26 27 28 30 35 36 39 40 42 45 50 52 54 56 60 63 65 70 72 75 78 81 84 89 90 91 100 104 105 108 117 120 126 130 135 140 150 156 162 168 169 175 178 180 182 189 195 200 210 216 225 234 243 252 260 267 270 273 280 300 312 315 324 325 338 350 351 356 360 364 378 390 405 420 445 450 455 468 486 504 507 520 525 534 540 546 567 585 600 623 630 648 650 675 676 700 702 712 728 729 756 780 801 810 819 840 845 890 900 910 936 945 972 975 1014 1050 1053 1068 1080 1092 1134 1157 1170 1183 1215 1246 1260 1300 1335 1350 1352 1365 1400 1404 1458 1512 1521 1560 1575 1602 1620 1638 1690 1701 1755 1780 1800 1820 1869 1890 1944 1950 2025 2028 2100 2106 2136 2184 2187 2225 2268 2275 2314 2340 2366 2403 2430 2457 2492 2520 2535 2600 2670 2700 2730 2808 2835 2916 2925 3042 3115 3150 3159 3204 3240 3276 3380 3402 3471 3510 3549 3560 3640 3645 3738 3780 3900 4005 4050 4056 4095 4200 4212 4225 4374 4450 4536 4550 4563 4628 4680 4725 4732 4806 4860 4914 4984 5070 5103 5265 5340 5400 5460 5607 5670 5785 5832 5850 5915 6075 6084 6230 6300 6318 6408 6552 6561 6675 6760 6804 6825 6942 7020 7098 7209 7290 7371 7476 7560 7605 7800 8010 8099 8100 8190 8424 8450 8505 8748 8775 8900 9100 9126 9256 9345 9450 9464 9477 9612 9720 9828 10140 10206 10413 10530 10647 10680 10920 10935 11214 11340 11570 11700 11830 12015 12150 12168 12285 12460 12600 12636 12675 13122 13350 13608 13650 13689 13884 14040 14175 14196 14418 14580 14742 14952 15041 15210 15309 15575 15795 16020 16198 16200 16380 16821 16900 17010 17355 17496 17550 17745 17800 18200 18225 18252 18690 18900 18954 19224 19656 20025 20280 20412 20475 20826 21060 21294 21627 21870 22113 22428 22680 22815 23140 23400 23660 24030 24297 24300 24570 24920 25272 25350 25515 26244 26325 26700 27300 27378 27768 28035 28350 28392 28431 28836 28925 29160 29484 29575 30082 30420 30618 31150 31239 31590 31941 32040 32396 32760 32805 33642 33800 34020 34710 35100 35490 36045 36450 36504 36855 37380 37800 37908 38025 40050 40495 40824 40950 41067 41652 42120 42525 42588 43254 43740 44226 44856 45123 45630 45927 46280 46725 47320 47385 48060 48594 48600 49140 50463 50700 51030 52065 52488 52650 53235 53400 54600 54675 54756 56070 56700 56862 57672 57850 58968 59150 60075 60164 60840 61236 61425 62300 62478 63180 63882 64792 64881 65610 66339 67284 68040 68445 69420 70200 70980 72090 72891 72900 73710 74760 75205 75816 76050 76545 78975 80100 80990 81900 82134 83304 84105 85050 85176 85293 86508 86775 87480 88452 88725 90246 91260 91854 93450 93717 94770 95823 96120 97188 98280 100926 101400 102060 104130 105287 105300 106470 108135 109350 109512 110565 112140 113400 113724 114075 115700 118300 120150 120328 121485 122472 122850 123201 124600 124956 126360 127575 127764 129762 131220 132678 134568 135369 136890 138840 140175 141960 142155 144180 145782 145800 147420 150410 151389 152100 153090 156195 157950 159705 160200 161980 163800 164025 164268 168210 170100 170586 173016 173550 176904 177450 180225 180492 182520 183708 184275 186900 187434 189540 191646 194376 194643 199017 201852 202475 204120 205335 208260 210574 210600 212940 216270 218673 218700 221130 224280 225615 227448 228150 229635 231400 236600 236925 240300 242970 245700 246402 249912 252315 255150 255528 259524 260325 262440 265356 266175 270738 273780 280350 281151 284310 287469 288360 291564 294840 300820 302778 304200 306180 312390 315861 315900 319410 323960 324405 328050 328536 331695 336420 340200 341172 342225 347100 354900 360450 360984 364455 367416 368550 369603 373800 374868 376025 379080 382725 383292 389286 398034 403704 404950 406107 410670 416520 420525 421148 425880 426465 432540 437346 437400 442260 451230 454167 456300 459270 468585 473850 479115 480600 485940 491400 492804 504630 510300 519048 520650 526435 530712 532350 540675 541476 547560 552825 560700 562302 568620 574938 583128 583929 597051 601640 605556 607425 612360 616005 624780 631722 631800 638820 648810 656019 656100 663390 672840 676845 682344 684450 694200 709800 710775 720900 728910 737100 739206 749736 752050 756945 765450 766584 778572 780975 796068 798525 809900 812214 821340 841050 842296 843453 852930 862407 865080 874692 884520 902460 908334 912600 918540 937170 947583 947700 958230 971880 973215 985608 995085 1009260 1020600 1026675 1041300 1052870 1064700 1081350 1082952 1093365 1105650 1108809 1121400 1124604 1128075 1137240 1148175 1149876 1167858 1194102 1211112 1214850 1218321 1232010 1249560 1261575 1263444 1277640 1297620 1312038 1312200 1326780 1353690 1362501 1368900 1405755 1421550 1437345 1441800 1457820 1474200 1478412 1504100 1513890 1530900 1557144 1561950 1579305 1592136 1597050 1619800 1622025 1624428 1642680 1658475 1682100 1686906 1705860 1724814 1749384 1804920 1816668 1822275 1837080 1848015 1874340 1895166 1895400 1916460 1946430 1968057 1990170 2018520 2030535 2053350 2082600 2105740 2129400 2132325 2162700 2186730 2211300 2217618 2249208 2256150 2270835 2296350 2299752 2335716 2342925 2388204 2395575 2429700 2436642 2464020 2523150 2526888 2530359 2587221 2595240 2624076 2632175 2653560 2707380 2725002 2737800 2811510 2842749 2843100 2874690 2915640 2919645 2956824 2985255 3008200 3027780 3061800 3080025 3123900 3158610 3194100 3244050 3248856 3280095 3316950 3364200 3373812 3384225 3411720 3449628 3633336 3644550 3654963 3696030 3748680 3784725 3790332 3832920 3892860 3936114 3980340 4061070 4087503 4106700 4211480 4217265 4264650 4312035 4325400 4373460 4422600 4435236 4512300 4541670 4592700 4671432 4685850 4737915 4776408 4791150 4859400 4866075 4873284 4928040 4975425 5046300 5060718 5174442 5248152 5264350 5414760 5450004 5466825 5544045 5623020 5685498 5686200 5749380 5839290 5904171 5970510 6055560 6091605 6160050 6247800 6317220 6388200 6488100 6560190 6633900 6747624 6768450 6812505 6899256 7028775 7186725 7289100 7309926 7392060 7569450 7580664 7591077 7761663 7785720 7872228 7896525 7960680 8122140 8175006 8213400 8434530 8528247 8529300 8624070 8746920 8870472 9024600 9083340 9185400 9240075 9371700 9475830 9582300 9732150 9746568 9840285 9950850 10092600 10121436 10152675 10348884 10528700 10900008 10933650 10964889 11088090 11246040 11354175 11370996 11498760 11678580 11808342 11941020 12183210 12320100 12634440 12651795 12936105 12976200 13120380 13267800 13536900 13625010 14057550 14213745 14373450 14578200 14598225 14619852 14784120 14926275 15138900 15182154 15523326 15744456 15793050 16244280 16350012 16400475 16869060 17056494 17058600 17248140 17712513 18166680 18274815 18480150 18743400 18951660 19164600 19464300 19680570 19901700 20242872 20305350 20437515 20697768 21057400 21086325 21560175 21867300 21929778 22176180 22708350 22741992 23357160 23616684 23689575 23882040 24366420 24640200 25303590 25584741 25872210 26240760 27073800 27250020 27720225 28115100 28427490 28746900 29196450 29239704 29520855 29852550 30277800 30364308 30458025 31046652 31586100 32700024 32800950 32894667 33738120 34062525 34112988 34496280 35425026 36549630 36960300 37903320 37955385 38808315 38928600 39361140 39803400 40610700 40875030 42172650 42641235 43120350 43734600 43859556 44352360 45416700 47233368 47379150 48732840 49201425 50607180 51169482 51744420 53137539 54500040 54824445 55440450 56230200 56854980 57493800 58392900 59041710 59705100 60728616 60916050 62093304 63172200 63258975 64680525 65601900 65789334 68125050 68225976 70850052 71068725 73099260 73920600 75910770 76754223 77616630 78722280 81221400 81750060 84345300 85282470 86240700 87719112 88562565 90833400 91374075 94758300 98402850 98684001 101214360 102187575 102338964 103488840 106275078 109648890 110880900 113709960 116785800 118083420 119410200 121832100 126517950 127923705 129361050 131203800 131578668 136250100 141700104 142137450 146198520 147604275 151821540 153508446 155233260 163500120 164473335 168690600 170564940 172481400 177125130 182748150 189516600 189776925 194041575 196805700 197368002 204375150 204677928 212550156 213206175 219297780 221761800 230262669 236166840 243664200 253035900 255847410 258722100 263157336 265687695 272500200 274122225 284274900 295208550 303643080 307016892 310466520 328946670 341129880 354250260 365496300 379553850 383771115 388083150 393611400 394736004 408750300 425100312 426412350 438595560 442812825 460525338 493420005 506071800 511694820 517444200 531375390 548244450 568549800 590417100 614033784 639618525 657893340 690788007 708500520 730992600 759107700 767542230 776166300 789472008 817500600 822366675 852824700 885625650 921050676 986840010 1023389640 1062750780 1096488900 1151313345 1180834200 1279237050 1315786680 1328438475 1381576014 1518215400 1535084460 1552332600 1644733350 1705649400 1771251300 1842101352 1918855575 1973680020 2125501560 2192977800 2302626690 2467100025 2558474100 2656876950 2763152028 3070168920 3289466700 3453940035 3542502600 3837711150 3947360040 4605253380 4934200050 5116948200 5313753900 5526304056 5756566725 6578933400 6907880070 7675422300 9210506760 9868400100 10627507800 11513133450 13815760140 15350844600 17269700175 19736800200 23026266900 27631520280 34539400350 46052533800 69078800700 138157601400
- Sum of all divisors σ(n): 602942324400
- Sum of proper divisors (its aliquot sum) s(n): 464784723000
- 138157601400 is an abundant number, because the sum of its proper divisors (464784723000) is greater than itself. Its abundance is 326627121600
Bases of 138157601400
- Binary: 100000001010101101010110110010011110002
- Hexadecimal: 0x202AD5B278
- Base-36: 1RGVGVI0
Squares and roots of 138157601400
- 138157601400 squared (1381576014002) is 19087522824601281960000
- 138157601400 cubed (1381576014003) is 2637086370114666026958690744000000
-
The
square root of 138157601400 is 371695.5762448619 -
The
cube root of 138157601400 is 5169.6157231775
Scales and comparisons
How big is 138157601400?- 138,157,601,400 seconds is equal to 4,392 years, 51 weeks, 1 day, 7 hours, 30 minutes.
-
To count from 1 to 138,157,601,400 would take you about eight thousand, seven hundred eighty-five 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 138157601400 cubic inches would be around 430.8 feet tall.
Recreational maths with 138157601400
- 138157601400 backwards is 004106751831
- 138157601400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138157601400's digits is 36
- 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 138157601400 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
APA style:
Numbermatics. (2024). Number 138157601400 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/138157601400/
Chicago style:
Numbermatics. 2024. "Number 138157601400 - Facts about the integer". https://numbermatics.com/n/138157601400/
The information we have on file for 138157601400 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 138157601400, math, Factors of 138157601400, curriculum, school, college, exams, university, Prime factorization of 138157601400, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, one hundred fifty-seven million, six hundred one thousand, four hundred.