138712074225120
138,712,074,225,120 is an even composite number composed of eight prime numbers multiplied together.
138712074225120 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 138712074225120:
25 × 34 × 5 × 112 × 29 × 31 × 61 × 1613
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 11 × 11 × 29 × 31 × 61 × 1613)See below for interesting mathematical facts about the number 138712074225120 from the Numbermatics database.
Names of 138712074225120
- Cardinal: 138712074225120 can be written as One hundred thirty-eight trillion, seven hundred twelve billion, seventy-four million, two hundred twenty-five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3871207422512 × 1014
Factors of 138712074225120
Divisors of 138712074225120
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 29 30 31 32 33 36 40 44 45 48 54 55 58 60 61 62 66 72 80 81 87 88 90 93 96 99 108 110 116 120 121 122 124 132 135 144 145 155 160 162 165 174 176 180 183 186 198 216 220 232 240 242 244 248 261 264 270 279 288 290 297 305 310 319 324 330 341 348 352 360 363 366 372 396 405 432 435 440 464 465 480 484 488 495 496 522 528 540 549 558 580 594 605 610 620 638 648 660 671 682 696 720 726 732 744 783 792 810 837 864 870 880 891 899 915 928 930 957 968 976 990 992 1023 1044 1056 1080 1089 1098 1116 1160 1188 1210 1220 1240 1276 1296 1305 1320 1342 1364 1392 1395 1440 1452 1464 1485 1488 1566 1584 1595 1613 1620 1647 1674 1705 1740 1760 1769 1782 1798 1815 1830 1860 1891 1914 1936 1952 1980 2013 2046 2088 2160 2178 2196 2232 2320 2349 2376 2420 2440 2480 2511 2552 2592 2610 2640 2684 2697 2728 2745 2784 2790 2871 2904 2928 2970 2976 3069 3132 3168 3190 3226 3240 3267 3294 3348 3355 3410 3480 3509 3538 3564 3596 3630 3660 3720 3751 3782 3828 3872 3915 3960 4026 4092 4176 4185 4320 4356 4392 4455 4464 4495 4640 4698 4752 4785 4839 4840 4880 4941 4960 5022 5104 5115 5220 5280 5307 5368 5394 5445 5456 5490 5580 5673 5742 5808 5856 5940 6039 6138 6264 6380 6452 6480 6534 6588 6696 6710 6820 6960 7018 7076 7128 7192 7260 7320 7381 7440 7502 7564 7656 7830 7920 8052 8065 8091 8184 8235 8352 8370 8613 8712 8784 8845 8910 8928 8990 9207 9396 9455 9504 9570 9678 9680 9760 9801 9882 9889 10044 10065 10208 10230 10440 10527 10614 10736 10788 10890 10912 10980 11160 11253 11346 11484 11616 11745 11880 12078 12276 12528 12555 12760 12904 12960 13068 13176 13392 13420 13485 13640 13920 14036 14152 14256 14355 14384 14517 14520 14640 14762 14880 15004 15128 15312 15345 15660 15840 15921 16104 16130 16182 16335 16368 16470 16740 17019 17226 17424 17545 17568 17690 17743 17820 17980 18117 18414 18755 18792 18910 19140 19356 19360 19459 19602 19764 19778 20088 20130 20460 20801 20880 21054 21228 21472 21576 21780 21960 22143 22320 22506 22692 22968 23490 23760 24156 24195 24273 24552 24705 25056 25110 25520 25808 25839 26136 26352 26535 26784 26840 26970 27280 27621 28072 28304 28365 28512 28710 28768 29034 29040 29280 29524 29667 30008 30195 30256 30624 30690 31320 31581 31842 32208 32260 32364 32670 32736 32940 33480 33759 34038 34452 34848 35090 35380 35486 35640 35960 36234 36828 36905 37510 37584 37820 38280 38712 38918 39204 39528 39556 40176 40260 40455 40920 41602 41760 42108 42456 43065 43152 43551 43560 43920 44286 44640 45012 45384 45936 46035 46777 46980 47520 47763 48312 48390 48546 49005 49104 49410 49445 50003 50220 51040 51057 51616 51678 52272 52635 52704 53070 53229 53680 53940 54351 54560 54839 55242 56144 56265 56608 56730 57420 58068 58080 58377 59048 59334 60016 60390 60512 61380 62403 62640 63162 63684 64416 64520 64728 65340 65880 66429 66960 67518 68076 68904 70180 70760 70972 71280 71920 72468 72585 72819 73656 73810 75020 75168 75640 76560 77424 77836 78408 79056 79112 79605 80352 80520 80910 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8857731432 9039561696 9059043510 9169227540 9245006280 9322047999 9396563760 9474868458 9553173156 9555147360 9643497930 9662979744 9730083770 9801588060 9882592920 9964947861 10169506908 10286397792 10336220136 10357831110 10527631620 10614636840 10703092147 10749540780 10870852212 11048353184 11072164290 11299452120 11484689040 11676100524 11810308576 11941466445 12078724680 12225636720 12326675040 12429397332 12633157944 12711883635 12737564208 12857997240 12920275170 13068784080 13176790560 13286597148 13559342544 13588565265 13781626848 13810441480 14026906080 14036842160 14152849120 14212302687 14329759734 14332721040 14494469616 14595125655 14670764064 14762885720 15065936160 15429596688 15536746665 15568134032 15682540896 15791447430 15921955260 16104966240 16572529776 16608246435 16844210592 16949178180 17143996320 17199265248 17227033560 17514150786 17715462864 18118087020 18338455080 18490012560 18644095998 18793127520 18949736916 19106346312 19286995860 19460167540 19603176120 19765185840 19929895722 20339013816 20672440272 20715662220 21055263240 21229273680 21406184294 21499081560 21741704424 22144328580 22598904240 22969378080 23352201048 23687171145 23882932890 24157449360 24451273440 24858794664 25266315888 25423767270 25475128416 25715994480 25840550340 26137568160 26271226179 26573194296 27118685088 27177130530 27620882960 27966143997 28073684320 28424605374 28659519468 28665442080 28988939232 29190251310 29525771440 29894843583 30859193376 31073493330 31136268064 31582894860 31843910520 32109276441 33145059552 33216492870 33898356360 34454067120 35028301572 35430925728 35824399335 36236174040 36676910160 36980025120 37288191996 37899473832 38212692624 38573991720 38920335080 39206352240 39530371680 39859791444 40678027632 41344880544 41431324440 42110526480 42458547360 42812368588 42998163120 43483408848 43785376965 44288657160 45197808480 46610239995 46704402096 47374342290 47765865780 48314898720 49717589328 49824739305 50532631776 50847534540 51431988960 51681100680 52542452358 53146388592 53515460735 54354261060 55241765920 55932287994 56849210748 57319038936 58380502620 59051542880 59789687166 62146986660 63165789720 63687821040 64218552882 66432985740 67796712720 68908134240 70056603144 71061513435 71648798670 72472348080 73353820320 74576383992 75798947664 76425385248 77147983440 77840670160 78412704480 78813678537 79719582888 81356055264 82862648880 84221052960 85624737176 85996326240 86966817696 87570753930 88577314320 93220479990 93408804192 94748684580 95531731560 96327829323 99435178656 99649478610 101695069080 103362201360 105084904716 106292777184 107030921470 108708522120 111864575988 113698421496 114638077872 116761005240 119579374332 124293973320 126331579440 127375642080 128437105764 131356130895 132865971480 135593425440 139830719985 140113206288 142123026870 143297597340 144944696160 149152767984 149474217915 151597895328 154295966880 155681340320 157627357074 159439165776 160546382205 165725297760 171249474352 175141507860 177154628640 186440959980 189497369160 191063463120 192655658646 199298957220 203390138160 206724402720 210169809432 214061842940 217417044240 223729151976 227396842992 229276155744 233522010480 239158748664 248587946640 252663158880 256874211528 262712261790 265731942960 279661439970 280226412576 284246053740 286595194680 288983487969 298305535968 298948435830 315254714148 318878331552 321092764410 342498948704 350283015720 372881919960 378994738320 382126926240 385311317292 394068392685 398597914440 406780276320 420339618864 428123685880 434834088480 447458303952 454793685984 467044020960 478317497328 481639146615 497175893280 513748423056 525424523580 531463885920 559322879940 568492107480 573190389360 577966975938 597896871660 630509428296 642185528820 700566031440 745763839920 757989476640 770622634584 788136785370 797195828880 840679237728 856247371760 866950463907 894916607904 956634994656 963278293230 1027496846112 1050849047160 1118645759880 1136984214960 1146380778720 1155933951876 1195793743320 1261018856592 1284371057640 1401132062880 1444917439845 1491527679840 1541245269168 1576273570740 1594391657760 1712494743520 1733900927814 1926556586460 2101698094320 2237291519760 2273968429920 2311867903752 2391587486640 2522037713184 2568742115280 2889834879690 3082490538336 3152547141480 3467801855628 3853113172920 4203396188640 4334752319535 4474583039520 4623735807504 4783174973280 5137484230560 5779669759380 6305094282960 6935603711256 7706226345840 8669504639070 9247471615008 11559339518760 12610188565920 13871207422512 15412452691680 17339009278140 23118679037520 27742414845024 34678018556280 46237358075040 69356037112560 138712074225120
- Sum of all divisors σ(n): 584379892293120
- Sum of proper divisors (its aliquot sum) s(n): 445667818068000
- 138712074225120 is an abundant number, because the sum of its proper divisors (445667818068000) is greater than itself. Its abundance is 306955743842880
Bases of 138712074225120
- Binary: 111111000101000011010111110100100000101111000002
- Hexadecimal: 0x7E286BE905E0
- Base-36: 1D63G3JY00
Squares and roots of 138712074225120
- 138712074225120 squared (1387120742251202) is 19241039535835200248439014400
- 138712074225120 cubed (1387120742251203) is 2668964504263240768973511229868456521728000
-
The
square root of 138712074225120 is 11777609.0198783557 -
The
cube root of 138712074225120 is 51765.2229294291
Scales and comparisons
How big is 138712074225120?- 138,712,074,225,120 seconds is equal to 4,410,614 years, 46 weeks, 4 days, 1 hour, 12 minutes.
-
To count from 1 to 138,712,074,225,120 would take you about eleven million, twenty-six thousand, five hundred thirty-seven 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 138712074225120 cubic inches would be around 4313.8 feet tall.
Recreational maths with 138712074225120
- 138712074225120 backwards is 021522470217831
- 138712074225120 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138712074225120's digits is 45
- More coming soon!
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MLA style:
"Number 138712074225120 - Facts about the integer". Numbermatics.com. 2024. Web. 22 September 2024.
APA style:
Numbermatics. (2024). Number 138712074225120 - Facts about the integer. Retrieved 22 September 2024, from https://numbermatics.com/n/138712074225120/
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Numbermatics. 2024. "Number 138712074225120 - Facts about the integer". https://numbermatics.com/n/138712074225120/
The information we have on file for 138712074225120 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!
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