137391055872000
137,391,055,872,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137391055872000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1792 divisors.
137391055872000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 137391055872000:
213 × 3 × 53 × 7 × 17 × 233 × 1613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 17 × 233 × 1613)See below for interesting mathematical facts about the number 137391055872000 from the Numbermatics database.
Names of 137391055872000
- Cardinal: 137391055872000 can be written as One hundred thirty-seven trillion, three hundred ninety-one billion, fifty-five million, eight hundred seventy-two thousand.
Scientific notation
- Scientific notation: 1.37391055872 × 1014
Factors of 137391055872000
Divisors of 137391055872000
- Number of divisors d(n): 1792
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 25 28 30 32 34 35 40 42 48 50 51 56 60 64 68 70 75 80 84 85 96 100 102 105 112 119 120 125 128 136 140 150 160 168 170 175 192 200 204 210 224 233 238 240 250 255 256 272 280 300 320 336 340 350 357 375 384 400 408 420 425 448 466 476 480 500 510 512 525 544 560 595 600 640 672 680 699 700 714 750 768 800 816 840 850 875 896 932 952 960 1000 1020 1024 1050 1088 1120 1165 1190 1200 1275 1280 1344 1360 1398 1400 1428 1500 1536 1600 1613 1631 1632 1680 1700 1750 1785 1792 1864 1904 1920 2000 2040 2048 2100 2125 2176 2240 2330 2380 2400 2550 2560 2625 2688 2720 2796 2800 2856 2975 3000 3072 3200 3226 3262 3264 3360 3400 3495 3500 3570 3584 3728 3808 3840 3961 4000 4080 4096 4200 4250 4352 4480 4660 4760 4800 4839 4893 5100 5120 5250 5376 5440 5592 5600 5712 5825 5950 6000 6144 6375 6400 6452 6524 6528 6720 6800 6990 7000 7140 7168 7456 7616 7680 7922 8000 8065 8155 8160 8192 8400 8500 8704 8925 8960 9320 9520 9600 9678 9786 10200 10240 10500 10752 10880 11184 11200 11291 11424 11650 11883 11900 12000 12288 12750 12800 12904 13048 13056 13440 13600 13980 14000 14280 14336 14875 14912 15232 15360 15844 16000 16130 16310 16320 16800 17000 17408 17475 17850 17920 18640 19040 19200 19356 19572 19805 20400 20480 21000 21504 21760 22368 22400 22582 22848 23300 23766 23800 24000 24195 24465 24576 25500 25600 25808 26096 26112 26880 27200 27421 27727 27960 28000 28560 28672 29125 29750 29824 30464 30720 31688 32000 32260 32620 32640 33600 33873 34000 34816 34950 35700 35840 37280 38080 38400 38712 39144 39610 40325 40775 40800 40960 42000 43008 43520 44625 44736 44800 45164 45696 46600 47532 47600 48000 48390 48930 51000 51200 51616 52192 52224 53760 54400 54842 55454 55920 56000 56455 57120 57344 58250 59415 59500 59648 60928 61440 63376 64000 64520 65240 65280 67200 67746 68000 69632 69900 71400 71680 74560 76160 76800 77424 78288 79220 80650 81550 81600 82263 83181 84000 86016 87040 87375 89250 89472 89600 90328 91392 93200 95064 95200 96000 96780 97860 99025 102000 102400 103232 104384 104448 107520 108800 109684 110908 111840 112000 112910 114240 116500 118830 119000 119296 120975 121856 122325 122880 126752 128000 129040 130480 130560 134400 135492 136000 137105 138635 139264 139800 142800 143360 149120 152320 153600 154848 156576 158440 161300 163100 163200 164526 166362 168000 169365 172032 174080 174750 178500 178944 179200 180656 182784 186400 190128 190400 191947 192000 193560 195720 198050 201625 203875 204000 204800 206464 208768 208896 215040 217600 219368 221816 223680 224000 225820 228480 233000 237660 238000 238592 241950 243712 244650 253504 256000 258080 260960 261120 268800 270984 272000 274210 277270 279600 282275 285600 286720 297075 298240 304640 307200 309696 313152 316880 322600 326200 326400 329052 332724 336000 338730 348160 349500 357000 357888 358400 361312 365568 372800 375829 380256 380800 383894 384000 387120 391440 396100 403250 407750 408000 411315 412928 415905 417536 417792 430080 435200 438736 443632 447360 448000 451640 456960 466000 475320 476000 477184 483900 487424 489300 495125 507008 512000 516160 521920 522240 537600 541968 544000 548420 554540 559200 564550 571200 575841 594150 596480 604875 609280 611625 614400 619392 626304 633760 645200 652400 652800 658104 665448 672000 677460 685525 693175 696320 699000 714000 715776 716800 722624 731136 745600 751658 760512 761600 767788 768000 774240 782880 792200 806500 815500 816000 822630 825856 831810 835072 846825 860160 870400 877472 887264 894720 896000 903280 913920 932000 950640 952000 954368 959735 967800 974848 978600 990250 1014016 1024000 1032320 1043840 1044480 1075200 1083936 1088000 1096840 1109080 1118400 1127487 1129100 1142400 1151682 1188300 1192960 1209750 1218560 1223250 1238784 1252608 1267520 1290400 1304800 1305600 1316208 1330896 1344000 1354920 1371050 1386350 1398000 1411375 1428000 1431552 1433600 1445248 1462272 1485375 1491200 1503316 1521024 1523200 1535576 1536000 1548480 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5010432 5070080 5161600 5219200 5222400 5261606 5264832 5323584 5376000 5419680 5484200 5545400 5592000 5637435 5645500 5712000 5726208 5758410 5780992 5941500 5964800 6013264 6084096 6092800 6142304 6193920 6263040 6337600 6389093 6452000 6524000 6528000 6581040 6606848 6654480 6680576 6774600 6855250 6931750 7019776 7098112 7157760 7168000 7226240 7311360 7456000 7516580 7605120 7616000 7677880 7742400 7828800 7892409 7922000 8112128 8226300 8258560 8318100 8350720 8468250 8671488 8704000 8774720 8872640 8947200 9019896 9032800 9139200 9213456 9395725 9506400 9543680 9597350 9678000 9786000 9910272 10020864 10140160 10282875 10323200 10397625 10438400 10444800 10523212 10529664 10647168 10752000 10839360 10968400 11090800 11184000 11274870 11291000 11424000 11516820 11561984 11883000 11929600 12026528 12168192 12185600 12284608 12387840 12526080 12675200 12778186 12904000 13048000 13056000 13154015 13162080 13213696 13308960 13361152 13549200 13710500 13863500 14039552 14196224 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2303364000 2309093376 2312396800 2358644736 2395909875 2405305600 2433638400 2453411712 2456921600 2477568000 2505216000 2525570880 2555637200 2630803000 2632416000 2661792000 2683419060 2693942272 2807910400 2839244800 2862313664 2886366720 2890496000 2948305920 3006632000 3042048000 3066764640 3071152000 3078791168 3156963600 3194546500 3271215616 3354273825 3367427840 3369492480 3407093760 3468595200 3509888000 3549056000 3577892080 3607958400 3685382400 3833455800 3848488960 3931074560 3946204500 4040913408 4056064000 4089019520 4209284800 4211865600 4258867200 4293470496 4335744000 4472365100 4509948000 4606728000 4618186752 4717289472 4791819750 4810611200 4906823424 4913843200 4955136000 5010432000 5051141760 5111274400 5261606000 5264832000 5323584000 5366838120 5387884544 5590456375 5615820800 5678489600 5724627328 5772733440 5780992000 5896611840 6013264000 6084096000 6133529280 6142304000 6313927200 6389093000 6542431232 6708547650 6734855680 6937190400 7019776000 7098112000 7155784160 7215916800 7370764800 7666911600 7696977920 7862149120 7892409000 8081826816 8178039040 8418569600 8423731200 8517734400 8586940992 8671488000 8944730200 9019896000 9213456000 9236373504 9583639500 9621222400 9813646848 9827686400 10102283520 10222548800 10523212000 10529664000 10647168000 10733676240 10775769088 11180912750 11449254656 11545466880 11561984000 11793223680 12026528000 12168192000 12267058560 12284608000 12627854400 12778186000 13084862464 13417095300 13469711360 14039552000 14196224000 14311568320 14431833600 14741529600 15333823200 15393955840 15784818000 16163653632 16356078080 16771369125 16837139200 16847462400 17035468800 17173881984 17342976000 17889460400 18039792000 18426912000 19167279000 19242444800 19627293696 19655372800 20204567040 20445097600 21046424000 21059328000 21294336000 21467352480 21551538176 22361825500 22898509312 23090933760 23586447360 24053056000 24534117120 24569216000 25255708800 25556372000 26169724928 26834190600 26939422720 28079104000 28392448000 28623136640 28863667200 29483059200 30667646400 31569636000 32327307264 32712156160 33542738250 33674278400 34347763968 34685952000 35778920800 36079584000 36853824000 38334558000 38484889600 39254587392 39310745600 40409134080 40890195200 42092848000 42118656000 42588672000 42934704960 44723651000 45797018624 46181867520 48106112000 49068234240 49138432000 50511417600 51112744000 52339449856 53668381200 53878845440 57246273280 57727334400 58966118400 61335292800 63139272000 64654614528 65424312320 67085476500 67348556800 68695527936 71557841600 72159168000 73707648000 76669116000 76969779200 78509174784 80818268160 81780390400 84185696000 84237312000 85177344000 85869409920 89447302000 91594037248 96212224000 98136468480 98276864000 101022835200 102225488000 107336762400 107757690880 114492546560 115454668800 117932236800 122670585600 126278544000 130848624640 134170953000 134697113600 137391055872 143115683200 144318336000 147415296000 153338232000 157018349568 161636536320 163560780800 168371392000 171738819840 178894604000 183188074496 192424448000 196272936960 196553728000 202045670400 204450976000 214673524800 228985093120 230909337600 245341171200 252557088000 261697249280 268341906000 269394227200 274782111744 286231366400 288636672000 294830592000 306676464000 323273072640 327121561600 336742784000 343477639680 357789208000 366376148992 384848896000 392545873920 404091340800 408901952000 429347049600 457970186240 490682342400 505114176000 536683812000 538788454400 549564223488 572462732800 577273344000 589661184000 613352928000 654243123200 673485568000 686955279360 715578416000 785091747840 808182681600 817803904000 858694099200 915940372480 981364684800 1010228352000 1073367624000 1099128446976 1144925465600 1154546688000 1226705856000 1308486246400 1346971136000 1373910558720 1431156832000 1616365363200 1635607808000 1717388198400 1831880744960 1962729369600 2020456704000 2146735248000 2289850931200 2453411712000 2693942272000 2747821117440 2862313664000 3271215616000 3434776396800 3925458739200 4040913408000 4293470496000 4579701862400 4906823424000 5495642234880 5724627328000 6542431232000 6869552793600 8081826816000 8586940992000 9159403724800 9813646848000 11449254656000 13739105587200 17173881984000 19627293696000 22898509312000 27478211174400 34347763968000 45797018624000 68695527936000 137391055872000
- Sum of all divisors σ(n): 555980936629248
- Sum of proper divisors (its aliquot sum) s(n): 418589880757248
- 137391055872000 is an abundant number, because the sum of its proper divisors (418589880757248) is greater than itself. Its abundance is 281198824885248
Bases of 137391055872000
- Binary: 111110011110100110110010001010010100000000000002
- Hexadecimal: 0x7CF4D914A000
- Base-36: 1CP8KVC16O
Squares and roots of 137391055872000
- 137391055872000 squared (1373910558720002) is 18876302233623025680384000000
- 137391055872000 cubed (1373910558720003) is 2593435094836459518239328958414848000000000
-
The
square root of 137391055872000 is 11721393.0858068231 -
The
cube root of 137391055872000 is 51600.3705519931
Scales and comparisons
How big is 137391055872000?- 137,391,055,872,000 seconds is equal to 4,368,610 years, 31 weeks, 18 hours, 40 minutes.
-
To count from 1 to 137,391,055,872,000 would take you about ten million, nine hundred twenty-one thousand, five hundred twenty-six 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 137391055872000 cubic inches would be around 4300 feet tall.
Recreational maths with 137391055872000
- 137391055872000 backwards is 000278550193731
- 137391055872000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137391055872000's digits is 51
- More coming soon!
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The information we have on file for 137391055872000 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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