138720519140814000
138,720,519,140,814,000 is an even composite number composed of seven prime numbers multiplied together.
138720519140814000 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 138720519140814000:
24 × 32 × 53 × 132 × 37 × 5412 × 4211
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 13 × 13 × 37 × 541 × 541 × 4211)See below for interesting mathematical facts about the number 138720519140814000 from the Numbermatics database.
Names of 138720519140814000
- Cardinal: 138720519140814000 can be written as One hundred thirty-eight quadrillion, seven hundred twenty trillion, five hundred nineteen billion, one hundred forty million, eight hundred fourteen thousand.
Scientific notation
- Scientific notation: 1.38720519140814 × 1017
Factors of 138720519140814000
Divisors of 138720519140814000
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 36 37 39 40 45 48 50 52 60 65 72 74 75 78 80 90 100 104 111 117 120 125 130 144 148 150 156 169 180 185 195 200 208 222 225 234 240 250 260 296 300 312 325 333 338 360 370 375 390 400 444 450 468 481 500 507 520 541 555 585 592 600 624 650 666 676 720 740 750 780 845 888 900 925 936 962 975 1000 1014 1040 1082 1110 1125 1170 1200 1300 1332 1352 1443 1480 1500 1521 1560 1623 1625 1665 1690 1776 1800 1850 1872 1924 1950 2000 2028 2164 2220 2250 2340 2405 2535 2600 2664 2704 2705 2775 2886 2925 2960 3000 3042 3120 3246 3250 3330 3380 3600 3700 3848 3900 4056 4211 4225 4328 4329 4440 4500 4625 4680 4810 4869 4875 5070 5200 5328 5410 5550 5772 5850 6000 6084 6253 6492 6500 6660 6760 7033 7215 7400 7605 7696 7800 8112 8115 8325 8422 8450 8656 8658 8880 9000 9250 9360 9620 9738 9750 10140 10820 11100 11544 11700 12025 12168 12506 12633 12675 12984 13000 13320 13520 13525 13875 14066 14430 14625 14800 15210 15600 16230 16650 16844 16900 17316 18000 18500 18759 19240 19476 19500 20017 20280 21055 21099 21125 21640 21645 22200 23088 23400 24050 24336 24345 25012 25266 25350 25968 26000 26640 27050 27750 28132 28860 29250 30420 31265 32460 33300 33688 33800 34632 35165 36075 37000 37518 37899 38025 38480 38952 39000 40034 40560 40575 41625 42110 42198 42250 43280 43290 44400 46800 48100 48690 50024 50532 50700 54100 54743 55500 56264 56277 57720 58500 60051 60125 60840 62530 63165 63297 63375 64920 66600 67376 67600 67625 69264 70330 72150 74000 75036 75798 76050 77904 78000 80068 81150 83250 84220 84396 84500 86580 91429 93795 96200 97380 100048 100085 101064 101400 105275 105495 108200 108225 109486 111000 112528 112554 115440 117000 120102 120250 121680 121725 125060 126330 126594 126750 129840 133200 135250 140660 144300 150072 151596 152100 155807 156325 160136 162300 164229 166500 168440 168792 169000 173160 175825 180153 180375 182858 187590 189495 190125 192400 194760 200170 202128 202800 202875 210550 210990 216400 216450 218972 222000 225108 234000 240204 240500 243450 250120 252660 253188 253500 260221 270500 273715 274287 281320 281385 288600 292681 300144 300255 303192 304200 311614 312650 315825 316485 320272 324600 328458 333000 336880 337584 338000 346320 351650 360306 360750 365716 375180 378990 380250 389520 400340 405750 421100 421980 432900 437944 450216 457145 467421 468975 480408 481000 486900 492687 500240 500425 505320 506376 507000 520442 526375 527475 541000 541125 547430 548574 562640 562770 577200 585362 600510 606384 608400 608625 623228 625300 631650 632970 649200 656916 666000 703300 711659 720612 721500 731432 750360 757980 760500 779035 780663 781625 800680 811500 821145 822861 842200 843960 865800 875888 878043 879125 900432 900765 914290 934842 937950 947475 960816 962000 973800 985374 1000850 1010640 1012752 1014000 1040884 1052750 1054950 1082000 1082250 1094860 1097148 1125540 1170724 1201020 1217250 1246456 1250600 1263300 1265940 1301105 1313832 1368575 1371435 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5341979326125 5472209828040 5490402879000 5546158609500 5698111281200 5700218570875 5768004953880 5928227313710 6008338493625 6248672033370 6408894393200 6410375191350 6566651793648 6574743786000 6588483454800 6840262285050 6930135342000 7113872776452 7122639101500 7210006192350 7394878146000 7498406440044 7706695507823 8011117991500 8208314742060 8235604318500 8331562711160 8547166921800 8892340970565 9120349713400 9373008050055 9485163701936 9613341589800 9862115679000 9997875253392 10256600306160 10260393427575 10414453388950 10670809164678 10683958652250 10944419656080 10980805758000 11092317219000 11400437141750 11536009907760 11856454627420 12016676987250 12497344066740 12820750382700 13680524570100 14227745552904 14245278203000 14420012384700 14820568284275 14996812880088 15413391015646 15621680083425 16022235983000 16025937978375 16416629484120 16471208637000 16663125422320 17094333843600 17100655712625 17784681941130 18025015480875 18240699426800 18746016100110 19226683179600 19724231358000 20520786855150 20828906777900 21341618329356 21367917304500 22184634438000 22800874283500 23120086523469 23712909254840 24033353974500 24994688133480 25641500765400 26036133472375 26677022911695 27361049140200 28455491105808 28490556406000 28840024769400 29641136568550 29993625760176 30826782031292 31243360166850 32044471966000 32051875956750 32833258968240 32942417274000 34201311425250 35569363882260 36050030961750 37492032200220 38533477539115 41041573710300 41657813555800 42683236658712 42735834609000 44461704852825 45601748567000 46240173046938 46865040250275 47425818509680 48066707949000 49989376266960 51283001530800 51301967137875 52072266944750 53354045823390 54722098280400 57680049538800 59282273137100 61653564062584 62486720333700 64103751913500 68402622850500 69360259570407 71138727764520 72100061923500 74102841421375 74984064400440 77066955078230 78108400417125 82083147420600 83315627111600 85366473317424 85471669218000 88923409705650 91203497134000 92480346093876 93730080500550 96133415898000 102603934275750 104144533889500 106708091646780 115600432617345 118564546274200 123307128125168 124973440667400 128207503827000 133385114558475 136805245701000 138720519140814 142277455529040 144200123847000 148205682842750 149968128800880 154133910156460 156216800834250 164166294841200 177846819411300 184960692187752 187460161001100 192667387695575 205207868551500 208289067779000 213416183293560 222308524264125 231200865234690 234325201251375 237129092548400 249946881334800 256415007654000 266770229116950 273610491402000 277441038281628 288400247694000 296411365685500 308267820312920 312433601668500 346801297852035 355693638822600 369921384375504 374920322002200 385334775391150 410415737103000 416578135558000 426832366587120 444617048528250 462401730469380 468650402502750 533540458233900 554882076563256 578002163086725 592822731371000 616535640625840 624867203337000 666925572792375 693602595704070 711387277645200 749840644004400 770669550782300 820831474206000 889234097056500 924803460938760 937300805005500 963336938477875 1067080916467800 1109764153126512 1156004326173450 1185645462742000 1249734406674000 1333851145584750 1387205191408140 1541339101564600 1734006489260175 1778468194113000 1849606921877520 1874601610011000 1926673876955750 2134161832935600 2312008652346900 2667702291169500 2774410382816280 2890010815433625 3082678203129200 3468012978520350 3556936388226000 3749203220022000 3853347753911500 4624017304693800 5335404582339000 5548820765632560 5780021630867250 6936025957040700 7706695507823000 8670032446300875 9248034609387600 10670809164678000 11560043261734500 13872051914081400 15413391015646000 17340064892601750 23120086523469000 27744103828162800 34680129785203500 46240173046938000 69360259570407000 138720519140814000
- Sum of all divisors σ(n): 539946494706763872
- Sum of proper divisors (its aliquot sum) s(n): 401225975565949872
- 138720519140814000 is an abundant number, because the sum of its proper divisors (401225975565949872) is greater than itself. Its abundance is 262505456425135872
Bases of 138720519140814000
- Binary: 1111011001101010110010011110000100111001000101100101100002
- Hexadecimal: 0x1ECD593C2722CB0
- Base-36: 11XWBIQ6RWS0
Squares and roots of 138720519140814000
- 138720519140814000 squared (1387205191408140002) is 19243382430696943344760582596000000
- 138720519140814000 cubed (1387205191408140003) is 2669452000811499166094943328608604001673144000000000
-
The
square root of 138720519140814000 is 372452036.0272098177 -
The
cube root of 138720519140814000 is 517662.7341253675
Scales and comparisons
How big is 138720519140814000?- 138,720,519,140,814,000 seconds is equal to 4,410,883,417 years, 48 weeks, 5 days, 19 hours.
-
To count from 1 to 138,720,519,140,814,000 would take you about thirteen billion, two hundred thirty-two million, six hundred fifty thousand, two hundred fifty-three 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 138720519140814000 cubic inches would be around 43138.6 feet tall.
Recreational maths with 138720519140814000
- 138720519140814000 backwards is 000418041915027831
- The number of decimal digits it has is: 18
- The sum of 138720519140814000's digits is 54
- More coming soon!
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"Number 138720519140814000 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
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Numbermatics. (2024). Number 138720519140814000 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/138720519140814000/
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The information we have on file for 138720519140814000 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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