138931266010680
138,931,266,010,680 is an even composite number composed of nine prime numbers multiplied together.
What does the number 138931266010680 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 3072 divisors.
138931266010680 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 138931266010680:
23 × 33 × 5 × 112 × 13 × 31 × 59 × 61 × 733
(2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 11 × 13 × 31 × 59 × 61 × 733)See below for interesting mathematical facts about the number 138931266010680 from the Numbermatics database.
Names of 138931266010680
- Cardinal: 138931266010680 can be written as One hundred thirty-eight trillion, nine hundred thirty-one billion, two hundred sixty-six million, ten thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3893126601068 × 1014
Factors of 138931266010680
Divisors of 138931266010680
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 18 20 22 24 26 27 30 31 33 36 39 40 44 45 52 54 55 59 60 61 62 65 66 72 78 88 90 93 99 104 108 110 117 118 120 121 122 124 130 132 135 143 155 156 165 177 180 183 186 195 198 216 220 234 236 242 244 248 260 264 270 279 286 295 297 305 310 312 330 341 351 354 360 363 366 372 390 396 403 429 440 465 468 472 484 488 495 520 531 540 549 558 572 585 590 594 605 610 620 649 660 671 682 702 708 715 726 732 733 744 767 780 792 793 806 837 858 885 915 930 936 968 990 1023 1062 1080 1089 1098 1116 1144 1170 1180 1188 1209 1210 1220 1240 1287 1298 1320 1342 1364 1395 1404 1416 1430 1452 1464 1466 1485 1534 1560 1573 1586 1593 1612 1647 1674 1705 1716 1755 1770 1815 1829 1830 1860 1891 1947 1980 2013 2015 2046 2124 2145 2178 2196 2199 2232 2301 2340 2360 2376 2379 2418 2420 2440 2574 2596 2655 2684 2728 2745 2790 2808 2860 2904 2932 2970 3068 3069 3146 3172 3186 3224 3245 3267 3294 3348 3355 3410 3432 3510 3540 3599 3627 3630 3658 3660 3665 3720 3751 3782 3835 3861 3894 3960 3965 4026 4030 4092 4185 4248 4290 4356 4392 4398 4433 4602 4680 4719 4758 4836 4840 5115 5148 5192 5310 5368 5445 5487 5490 5580 5673 5720 5841 5864 5940 6039 6045 6136 6138 6292 6344 6372 6435 6490 6534 6588 6597 6696 6710 6820 6903 7020 7080 7137 7139 7198 7254 7260 7316 7320 7330 7381 7502 7564 7670 7722 7788 7865 7930 7965 8052 8060 8063 8184 8235 8370 8437 8580 8712 8723 8796 8866 9145 9204 9207 9438 9455 9516 9529 9672 9735 10065 10230 10296 10620 10797 10881 10890 10974 10980 10995 11160 11253 11346 11505 11682 11880 11895 12078 12090 12276 12584 12744 12870 12980 13068 13176 13194 13299 13420 13640 13806 14040 14157 14274 14278 14396 14508 14520 14632 14660 14762 15004 15128 15340 15345 15444 15576 15730 15860 15930 16104 16120 16126 16335 16461 16470 16740 16874 17019 17160 17446 17523 17592 17732 17995 18117 18135 18290 18408 18414 18755 18876 18910 19032 19058 19305 19470 19791 20119 20130 20460 20709 20801 21240 21411 21417 21594 21762 21780 21948 21960 21990 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5488967880 5651517960 5658653715 5743572120 5745709926 5751418530 5839901892 5843094840 5888165544 5946381870 6037864668 6114125160 6122477790 6173076780 6268047192 6274274760 6317929332 6326560383 6330019410 6378846006 6384122140 6433790220 6486962040 6488779880 6541020057 6679066680 6708738520 6790384458 6901702236 6905475720 7019921480 7135658244 7196646776 7289918460 7299877365 7346973348 7360206930 7407692136 7544871620 7547330835 7596023292 7660946568 7668558040 7720548264 7835058990 7897411665 7928509160 7963502580 8096227623 8163303720 8233451820 8299358782 8435413844 8440025880 8505128008 8615358180 8618564889 8627127795 8721360076 8759852838 8832248316 8919572805 8995808470 9053845944 9056797002 9183716685 9259615170 9411412140 9476893998 9495029115 9568269009 9576183210 9650685330 9730443060 9733169820 9813609240 9895389317 10063107780 10185576687 10352553354 10446745320 10529882220 10544267305 10631410010 10703487366 10794970164 10901700095 11040310395 11317307430 11491419852 11502837060 11679803784 11694551011 11892763740 12075729336 12244955580 12346153560 12449038173 12635858664 12653120766 12660038820 12757692012 12768244280 12867580440 13082040114 13493712705 13580768916 13803404472 14271316488 14364274815 14579836920 14599754730 14693946696 14720413860 15089743240 15094661670 15192046584 15670117980 15794823330 15927005160 15947115015 16192455246 16466903640 16598717564 16870827688 16975961145 17230716360 17237129778 17254255590 17442720152 17519705676 17664496632 17839145610 17991616940 18113594004 18367433370 18519230340 18822824280 18953787996 18979681149 18990058230 19136538018 19152366420 19301370660 19460886120 19466339640 19623060171 19790778634 20126215560 20371153374 20705106708 20748396955 21059764440 21088534610 21262820020 21406974732 21589940328 21803400190 21899632095 22080620790 22634614860 22641992505 22982839704 23005674120 23389102022 23692234995 23785527480 24288682869 24489911160 24898076346 25306241532 25320077640 25515384024 25881383385 26164080228 26758718415 26987425410 27161537832 28704807027 28728549630 29199509460 29440827720 29686167951 30189323340 31340235960 31589646660 31632801915 31894230030 32384910492 32705100285 33197435128 33951922290 34474259556 34508511180 35039411352 35083653033 35678291220 35983233880 36227188008 36734866740 37038460680 37347114519 37907575992 37959362298 37980116460 38273076036 38304732840 38602741320 39246120342 39581557268 40481138115 40742306748 41410213416 41496793910 42177069220 42525640040 42813949464 43092824445 43606800380 43799264190 44161241580 45269229720 45283985010 46778204044 47384469990 47841345045 48577365738 49476946585 49796152692 50612483064 50927883435 51762766770 52328160456 53517436830 53974850820 56939043447 57409614054 57457099260 58399018920 58472755055 58869180513 59372335902 60378646680 62245190865 63179293320 63265603830 63788460060 64769820984 65410200570 67903844580 68948519112 69017022360 70167306066 71356582440 73469733480 74694229038 75918724596 75960232920 76546152072 78492240684 79163114536 80962276230 81484613496 82993587820 84354138440 86185648890 87213600760 87598528380 88322483160 89058503853 90567970020 93556408088 94768939980 94898405745 95682690090 97154731476 98115300855 98953893170 99592305384 101855766870 103525533540 105250959099 107034873660 107949701640 112041343557 113878086894 114819228108 114914198520 116945510110 117738361026 118744671804 121443414345 124490381730 126531207660 127576920120 128640061121 130820401140 135807689160 140334612132 143524035135 148430839755 149388458076 151837449192 156984481368 161924552460 165987175640 172371297780 175197056760 175418265165 178117007706 181135940040 186735572595 189537879960 189796811490 191365380180 194309462952 196230601710 197907786340 203711533740 207051067080 210501918198 214069747320 224082687114 227756173788 229638456216 233891020220 235476722052 237489343608 242886828690 248980763460 253062415320 257280122242 261640802280 267175511559 280669224264 284695217235 287048070270 294345902565 296861679510 298776916152 315752877297 323849104920 344742595560 350836530330 356234015412 373471145190 379593622980 382730760360 385920183363 392461203420 395815572680 407423067480 421003836396 445292519265 448165374228 455512347576 467782040440 470953444104 485773657380 497961526920 514560244484 526254795495 534351023118 560206717785 569390434470 574096140540 588691805130 593723359020 631505754594 643200305605 701673060660 712468030824 746942290380 759187245960 771840366726 784922406840 842007672792 890585038530 896330748456 971547314760 1029120488968 1052509590990 1068702046236 1120413435570 1138780868940 1148192281080 1157760550089 1177383610260 1187446718040 1263011509188 1286400611210 1335877557795 1403346121320 1493884580760 1543680733452 1578764386485 1781170077060 1929600916815 2105019181980 2137404092472 2240826871140 2277561737880 2315521100178 2354767220520 2526023018376 2572801222420 2671755115590 3087361466904 3157528772970 3473281650267 3562340154120 3859201833630 4210038363960 4481653742280 4631042200356 5145602444840 5343510231180 5788802750445 6315057545940 6946563300534 7718403667260 9262084400712 10687020462360 11577605500890 12630115091880 13893126601068 15436807334520 17366408251335 23155211001780 27786253202136 34732816502670 46310422003560 69465633005340 138931266010680
- Sum of all divisors σ(n): 585694513152000
- Sum of proper divisors (its aliquot sum) s(n): 446763247141320
- 138931266010680 is an abundant number, because the sum of its proper divisors (446763247141320) is greater than itself. Its abundance is 307831981130640
Bases of 138931266010680
- Binary: 111111001011011011101001100001000111110001110002
- Hexadecimal: 0x7E5B74C23E38
- Base-36: 1D8W54OM60
Squares and roots of 138931266010680
- 138931266010680 squared (1389312660106802) is 19301896675330327841874062400
- 138931266010680 cubed (1389312660106803) is 2681636941510977671759139203146213386432000
-
The
square root of 138931266010680 is 11786910.7916654735 -
The
cube root of 138931266010680 is 51792.4749197855
Scales and comparisons
How big is 138931266010680?- 138,931,266,010,680 seconds is equal to 4,417,584 years, 26 weeks, 6 days, 18 minutes.
-
To count from 1 to 138,931,266,010,680 would take you about eleven million, forty-three thousand, nine hundred sixty-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 138931266010680 cubic inches would be around 4316 feet tall.
Recreational maths with 138931266010680
- 138931266010680 backwards is 086010662139831
- 138931266010680 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138931266010680's digits is 54
- More coming soon!
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"Number 138931266010680 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
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Numbermatics. (2024). Number 138931266010680 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/138931266010680/
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Numbermatics. 2024. "Number 138931266010680 - Facts about the integer". https://numbermatics.com/n/138931266010680/
The information we have on file for 138931266010680 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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