138081872669400
138,081,872,669,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138081872669400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2160 divisors.
138081872669400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 138081872669400:
23 × 34 × 52 × 112 × 17 × 19 × 4672
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 11 × 17 × 19 × 467 × 467)See below for interesting mathematical facts about the number 138081872669400 from the Numbermatics database.
Names of 138081872669400
- Cardinal: 138081872669400 can be written as One hundred thirty-eight trillion, eighty-one billion, eight hundred seventy-two million, six hundred sixty-nine thousand, four hundred.
Scientific notation
- Scientific notation: 1.380818726694 × 1014
Factors of 138081872669400
Divisors of 138081872669400
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 17 18 19 20 22 24 25 27 30 33 34 36 38 40 44 45 50 51 54 55 57 60 66 68 72 75 76 81 85 88 90 95 99 100 102 108 110 114 120 121 132 135 136 150 152 153 162 165 170 171 180 187 190 198 200 204 209 216 220 225 228 242 255 264 270 275 285 297 300 306 323 324 330 340 342 360 363 374 380 396 405 408 418 425 440 450 456 459 467 475 484 495 510 513 540 550 561 570 594 600 605 612 627 646 648 660 675 680 684 726 748 760 765 792 810 825 836 850 855 891 900 918 934 935 950 968 969 990 1020 1026 1045 1080 1089 1100 1122 1140 1188 1210 1224 1254 1275 1292 1320 1350 1368 1377 1401 1425 1452 1485 1496 1530 1539 1615 1620 1650 1672 1683 1700 1710 1782 1800 1815 1836 1868 1870 1881 1900 1938 1980 2025 2040 2052 2057 2090 2178 2200 2244 2280 2295 2299 2335 2376 2420 2475 2508 2550 2565 2584 2700 2754 2802 2805 2850 2904 2907 2970 3025 3060 3078 3135 3230 3240 3267 3300 3366 3400 3420 3553 3564 3630 3672 3736 3740 3762 3800 3825 3876 3960 4050 4104 4114 4180 4203 4275 4356 4455 4488 4590 4598 4670 4675 4840 4845 4950 5016 5049 5100 5130 5137 5225 5400 5445 5508 5604 5610 5643 5700 5814 5940 6050 6120 6156 6171 6270 6460 6534 6600 6732 6840 6885 6897 7005 7106 7128 7260 7425 7480 7524 7650 7695 7752 7939 8075 8100 8228 8360 8406 8415 8550 8712 8721 8873 8910 9075 9180 9196 9340 9350 9405 9690 9801 9900 10098 10200 10260 10274 10285 10450 10659 10890 11016 11208 11220 11286 11400 11475 11495 11628 11675 11880 12100 12312 12342 12540 12609 12825 12920 13068 13464 13770 13794 14010 14025 14212 14520 14535 14850 15048 15147 15300 15390 15411 15675 15878 16150 16200 16335 16456 16812 16830 16929 17100 17442 17746 17765 17820 18150 18360 18392 18513 18680 18700 18810 19380 19602 19800 20196 20520 20548 20570 20691 20900 21015 21318 21780 22275 22440 22572 22950 22990 23256 23350 23817 24200 24225 24684 25080 25218 25245 25650 25685 26136 26163 26619 27225 27540 27588 28020 28050 28215 28424 29070 29700 30294 30600 30780 30822 30855 31350 31756 31977 32300 32670 33624 33660 33858 34200 34425 34485 34884 35025 35492 35530 35640 36300 37026 37400 37620 37827 38475 38760 39083 39204 39695 40392 41096 41140 41382 41800 42030 42075 42636 43560 43605 44365 44550 45144 45900 45980 46233 46700 47025 47634 48450 49005 49368 50436 50490 51300 51370 51425 52326 53238 53295 54450 55080 55176 55539 56040 56100 56430 56507 57475 58140 59400 60588 61560 61644 61710 62073 62700 63045 63512 63954 64600 65340 67320 67716 68850 68970 69768 70050 70984 71060 71451 72600 72675 74052 75240 75654 75735 76950 77055 78166 78408 79390 79857 81675 82280 82764 84060 84150 84645 85272 87210 87329 88730 88825 89100 91800 91960 92466 92565 93400 94050 95268 95931 96900 97603 98010 100872 100980 102600 102740 102850 103455 104652 105075 106476 106590 108900 111078 112200 112860 113014 114950 116280 117249 119085 121176 123288 123420 124146 125400 126090 126225 127908 128425 130680 130815 133095 135432 137700 137940 138699 140100 141075 142120 142902 145350 148104 150841 151308 151470 153900 154110 154275 156332 158780 159714 159885 163350 165528 166617 168120 168300 169290 169521 172425 174420 174658 177460 177650 178200 184932 185130 186219 188100 189135 190536 191862 193800 195206 195415 196020 198475 201960 205480 205700 206910 209304 210150 212952 213180 214353 217800 218025 218089 221825 222156 225720 226028 229900 231165 234498 238170 239571 245025 246840 248292 252180 252450 255816 256850 261630 261987 266190 266475 275400 275880 277398 277695 280200 282150 282535 285804 287793 290700 292809 301682 302616 302940 307800 308220 308550 310365 312664 315225 317560 319428 319770 326700 333234 336600 338580 339042 344850 348840 349316 351747 354920 355300 357255 369864 370260 372438 376200 378270 378675 383724 385275 390412 390830 392040 396950 399285 411400 413820 416097 420300 423225 426360 428706 436050 436178 436645 443650 444312 452056 452523 459800 462330 462825 468996 476340 479142 479655 488015 490050 496584 504360 504900 508563 513700 517275 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518734260 527056200 527775380 537597324 539770275 546967212 547552830 556126950 559398285 563541976 576371400 579761820 588840300 597330360 600617106 610906050 611739645 621553650 622481112 633144600 633330456 633984723 644179800 647724330 648417825 657063396 659719225 667352340 671277942 671996655 683709015 695714184 704427470 706608360 707364900 712496763 719693700 724702275 730070440 734087574 741502600 745864380 746662950 774870217 777269196 778101390 790584300 791663070 800822808 814541400 815652860 820450818 821329245 828738200 834190425 845312964 863632440 864557100 869642730 883260450 895037256 895995540 897218146 911612020 912588050 915413400 932330475 949995684 966269700 971586495 978783432 985595094 995550600 1001028510 1002773222 1019566075 1037468520 1055550760 1056641205 1075194648 1079540550 1093934424 1095105660 1101131361 1112253900 1118796570 1119994425 1139515025 1159523640 1177680600 1187494605 1201234212 1221812100 1223479290 1230676227 1243107300 1267969446 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3003085530 3008319666 3058698225 3099480868 3112405560 3166652280 3169923615 3238621650 3281803272 3285316980 3303394083 3336761700 3356389710 3359983275 3418545075 3478570920 3522137350 3533041800 3562483815 3588872584 3650352200 3670437870 3692028681 3729321900 3803908338 3874351085 3886345980 3890506950 3942380376 3958315350 4004114040 4011092888 4037481657 4078264300 4102254090 4106646225 4226564820 4274980578 4318162200 4348213650 4404525444 4475186280 4479977700 4486090730 4512479499 4558060100 4649221302 4749978420 4857932475 4893917160 4922704908 4927975470 5005142550 5013866110 5071877784 5187342600 5277753800 5283206025 5375973240 5383308876 5469672120 5475528300 5505656805 5593982850 5699974104 5705862507 5797618200 5913570564 5937473025 6006171060 6016639332 6117396450 6153381135 6198961736 6339847230 6477243300 6570633960 6606788166 6673523400 6712779420 6719966550 6729136095 6837090150 6973831953 7044274700 7124967630 7340875740 7384057362 7391963205 7458643800 7507713825 7520799165 7607816676 7748702170 7772691960 7781013900 7916630700 8074963314 8156528600 8204508180 8213292450 8390974275 8453129640 8523572387 8549961156 8696427300 8809050888 8959955400 8972181460 9024958998 9116120200 9176094675 9298442604 9499956840 9509770845 9715864950 9845409816 9855950940 10010285100 10027732220 10255635225 10566412050 10687451445 10766617752 10951056600 11011313610 11187965700 11215226825 11411725014 11623053255 11827141128 11874946050 12012342120 12033278664 12112444971 12234792900 12306762270 12319938675 12534665275 12679694460 12954486600 13213576332 13425558840 13439933100 13458272190 13537438497 13674180300 13947663906 14088549400 14249935260 14681751480 14768114724 14783926410 15015427650 15041598330 15215633352 15497404340 15562027800 15833261400 15849618075 16149926628 16409016360 16426584900 16516970415 16781948550 17047144774 17099922312 17392854600 17812419075 17944362920 18049917996 18352189350 18460143405 18596885208 19019541690 19371755425 19431729900 19711901880 20020570200 20055464440 20187408285 20511270450 20921495859 21132824100 21374902890 22022627220 22375931400 22430453650 22562397495 22823450028 23246106510 23749892100 24224889942 24469585800 24613524540 24639877350 25069330550 25359388920 25570717161 26427152664 26879866200 26916544380 27074876994 27348360600 27528284025 27895327812 28499870520 28529312535 29536229448 29567852820 30030855300 30083196660 30766905675 30994808680 31699236150 32299853256 32853169800 33033940830 33563897100 33645680475 34094289548 34869159765 35624838150 36099835992 36337334913 36704378700 36920286810 36959816025 37603995825 38039083380 38743510850 38863459800 40374816570 40612315491 41022540900 41842991718 42265648200 42617861935 42749805780 44045254440 44860907300 45124794990 45646900056 46492213020 47499784200 47548854225 48449779884 49227049080 49279754700 50138661100 51141434322 53437257225 53833088760 54149753988 55056568050 55790655624 57058625070 58115266275 59135705640 60061710600 60166393320 60562224855 61533811350 62764487577 63398472300 66067881660 67127794200 67291360950 67687192485 68188579096 69738319530 71249676300 72674669826 73408757400 73840573620 73919632050 75207991650 76078166760 76712151483 77487021700 80749633140 81224630982 82045081800 82584852075 83685983436 85235723870 85499611560 89721814600 90249589980 92300717025 92984426040 95097708450 96899559768 98559509400 100277322200 100937041425 102282868644 104607479295 106874514450 108299507976 110113136100 112811987475 114117250140 116230532550 121124449710 123067622700 125528975154 126796944600 127853585805 132135763320 134582721900 135374384970 139476639060 142499352600 142646562675 145349339652 147681147240 147839264100 150415983300 153424302966 154974043400 161499266280 162449261964 165169704150 167371966872 170471447740 174345798825 180499179960 181686674565 184601434050 190195416900 201874082850 203061577455 204565737288 209214958590 213089309675 213749028900 220226272200 225623974950 228234500280 230136454449 232461065100 242248899420 246135245400 251057950308 255707171610 269165443800 270748769940 278953278120 285293125350 290698679304 295678528200 300831966600 302811124275 306848605932 313822437885 324898523928 330339408300 338435962425 340942895480 348691597650 363373349130 369202868100 380390833800 383560757415 403748165700 406123154910 418429917180 426178619350 427498057800 451247949900 460272908898 464922130200 484497798840 502115900616 511414343220 523037396475 541497539880 570586250700 605622248550 613697211864 627644875770 639267929025 660678816600 676871924850 690409363347 697383195300 726746698260 738405736200 767121514830 807496331400 812246309820 836859834360 852357238700 902495899800 908433372825 920545817796 1015307887275 1022828686440 1046074792950 1141172501400 1150682272245 1211244497100 1255289751540 1278535858050 1353743849700 1380818726694 1394766390600 1453493396520 1534243029660 1569112189425 1624492619640 1704714477400 1816866745650 1841091635592 1917803787075 2030615774550 2092149585900 2301364544490 2422488994200 2510579503080 2557071716100 2707487699400 2761637453388 3068486059320 3138224378850 3452046816735 3633733491300 3835607574150 4061231549100 4184299171800 4602729088980 5114143432200 5523274906776 5753411361225 6276448757700 6904093633470 7267466982600 7671215148300 8122463098200 9205458177960 11506822722450 12552897515400 13808187266940 15342430296600 17260234083675 23013645444900 27616374533880 34520468167350 46027290889800 69040936334700 138081872669400
- Sum of all divisors σ(n): 588785607887400
- Sum of proper divisors (its aliquot sum) s(n): 450703735218000
- 138081872669400 is an abundant number, because the sum of its proper divisors (450703735218000) is greater than itself. Its abundance is 312621862548600
Bases of 138081872669400
- Binary: 111110110010101101100001111100001101010110110002
- Hexadecimal: 0x7D95B0F86AD8
- Base-36: 1CY1XPTHI0
Squares and roots of 138081872669400
- 138081872669400 squared (1380818726694002) is 19066603559888394681696360000
- 138081872669400 cubed (1380818726694003) is 2632752324994438071712768924313463384000000
-
The
square root of 138081872669400 is 11750824.3399941947 -
The
cube root of 138081872669400 is 51686.7100501151
Scales and comparisons
How big is 138081872669400?- 138,081,872,669,400 seconds is equal to 4,390,576 years, 22 weeks, 4 days, 13 hours, 30 minutes.
-
To count from 1 to 138,081,872,669,400 would take you about ten million, nine hundred seventy-six thousand, four hundred forty-one 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 138081872669400 cubic inches would be around 4307.2 feet tall.
Recreational maths with 138081872669400
- 138081872669400 backwards is 004966278180831
- The number of decimal digits it has is: 15
- The sum of 138081872669400's digits is 63
- More coming soon!
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"Number 138081872669400 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 138081872669400 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/138081872669400/
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Numbermatics. 2024. "Number 138081872669400 - Facts about the integer". https://numbermatics.com/n/138081872669400/
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