138574627968000
138,574,627,968,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138574627968000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3168 divisors.
138574627968000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, one hundred sixty-eight divisors.
Prime factorization of 138574627968000:
210 × 3 × 53 × 72 × 17 × 19 × 1512
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 17 × 19 × 151 × 151)See below for interesting mathematical facts about the number 138574627968000 from the Numbermatics database.
Names of 138574627968000
- Cardinal: 138574627968000 can be written as One hundred thirty-eight trillion, five hundred seventy-four billion, six hundred twenty-seven million, nine hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.38574627968 × 1014
Factors of 138574627968000
Divisors of 138574627968000
- Number of divisors d(n): 3168
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 19 20 21 24 25 28 30 32 34 35 38 40 42 48 49 50 51 56 57 60 64 68 70 75 76 80 84 85 95 96 98 100 102 105 112 114 119 120 125 128 133 136 140 147 150 151 152 160 168 170 175 190 192 196 200 204 210 224 228 238 240 245 250 255 256 266 272 280 285 294 300 302 304 320 323 336 340 350 357 375 380 384 392 399 400 408 420 425 448 453 456 475 476 480 490 500 510 512 525 532 544 560 570 588 595 600 604 608 640 646 665 672 680 700 714 735 750 755 760 768 784 798 800 816 833 840 850 875 896 906 912 931 950 952 960 969 980 1000 1020 1024 1050 1057 1064 1088 1120 1140 1176 1190 1200 1208 1216 1225 1275 1280 1292 1330 1344 1360 1400 1425 1428 1470 1500 1510 1520 1536 1568 1596 1600 1615 1632 1666 1680 1700 1750 1785 1792 1812 1824 1862 1900 1904 1920 1938 1960 1995 2000 2040 2100 2114 2125 2128 2176 2240 2261 2265 2280 2352 2375 2380 2400 2416 2432 2450 2499 2550 2560 2567 2584 2625 2660 2688 2720 2793 2800 2850 2856 2869 2940 2975 3000 3020 3040 3072 3136 3171 3192 3200 3230 3264 3325 3332 3360 3400 3500 3570 3584 3624 3648 3675 3724 3775 3800 3808 3840 3876 3920 3990 4000 4080 4165 4200 4228 4250 4256 4352 4480 4522 4530 4560 4655 4704 4750 4760 4800 4832 4845 4864 4900 4998 5100 5120 5134 5168 5250 5285 5320 5376 5440 5586 5600 5700 5712 5738 5880 5950 6000 6040 6080 6125 6272 6342 6375 6384 6400 6460 6528 6650 6664 6720 6783 6800 7000 7125 7140 7168 7248 7296 7350 7399 7448 7550 7600 7616 7680 7701 7752 7840 7980 8000 8075 8160 8330 8400 8456 8500 8512 8607 8704 8925 8960 9044 9060 9120 9310 9408 9500 9520 9600 9664 9690 9728 9800 9975 9996 10200 10268 10336 10500 10570 10640 10752 10880 11172 11200 11305 11325 11400 11424 11476 11760 11900 12000 12080 12160 12250 12495 12544 12684 12750 12768 12800 12835 12920 13056 13300 13328 13440 13566 13600 13965 14000 14250 14280 14345 14496 14592 14700 14798 14875 14896 15100 15200 15232 15360 15402 15504 15680 15827 15855 15960 16000 16150 16320 16625 16660 16800 16912 17000 17024 17214 17408 17850 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115478856640 116449267200 117835568000 121556691200 123727346400 127366386000 130239312000 131101824000 131975836160 135326785125 135857478400 138574627968 141402681600 143007872000 144348570800 145561584000 145868029440 148844928000 151945864000 152952128000 154659183000 158371003392 163028974080 164969795200 166356096000 169821848000 173218284960 173652416000 176753352000 180435713500 182335036800 183542553600 184766170624 188536908800 194082112000 197963754240 203786217600 206212244000 208382899200 214511808000 216522856200 227918796000 229428192000 230957713280 232898534400 235671136000 243113382400 247454692800 254732772000 260478624000 263951672320 270653570250 271714956800 277149255936 282805363200 288697141600 291123168000 291736058880 303891728000 305904256000 309318366000 326057948160 329939590400 339643696000 346436569920 347304832000 353506704000 360871427000 364670073600 369532341248 388164224000 395927508480 407572435200 412424488000 429023616000 433045712400 455837592000 458856384000 461915426560 471342272000 486226764800 494909385600 509465544000 520957248000 541307140500 543429913600 554298511872 565610726400 577394283200 582246336000 607783456000 618636732000 659879180800 679287392000 692873139840 707013408000 721742854000 729340147200 791855016960 815144870400 824848976000 866091424800 911675184000 917712768000 923830853120 942684544000 989818771200 1018931088000 1041914496000 1082614281000 1108597023744 1154788566400 1164492672000 1215566912000 1237273464000 1319758361600 1358574784000 1385746279680 1414026816000 1443485708000 1458680294400 1630289740800 1649697952000 1732182849600 1823350368000 1847661706240 1979637542400 2037862176000 2165228562000 2309577132800 2431133824000 2474546928000 2717149568000 2771492559360 2828053632000 2886971416000 3299395904000 3464365699200 3646700736000 3959275084800 4075724352000 4330457124000 4619154265600 4949093856000 5542985118720 5773942832000 6598791808000 6928731398400 7293401472000 8151448704000 8660914248000 9238308531200 9898187712000 11547885664000 13857462796800 17321828496000 19796375424000 23095771328000 27714925593600 34643656992000 46191542656000 69287313984000 138574627968000
- Sum of all divisors σ(n): 601615816663680
- Sum of proper divisors (its aliquot sum) s(n): 463041188695680
- 138574627968000 is an abundant number, because the sum of its proper divisors (463041188695680) is greater than itself. Its abundance is 324466560727680
Bases of 138574627968000
- Binary: 111111000001000011010110111100110010100000000002
- Hexadecimal: 0x7E086B799400
- Base-36: 1D4CAZLN9C
Squares and roots of 138574627968000
- 138574627968000 squared (1385746279680002) is 19202927516469607809024000000
- 138574627968000 cubed (1385746279680003) is 2661038536491246094914368393183232000000000
-
The
square root of 138574627968000 is 11771772.5074858629 -
The
cube root of 138574627968000 is 51748.1196660019
Scales and comparisons
How big is 138574627968000?- 138,574,627,968,000 seconds is equal to 4,406,244 years, 27 weeks, 3 days, 21 hours, 20 minutes.
-
To count from 1 to 138,574,627,968,000 would take you about eleven million, fifteen thousand, six hundred eleven 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 138574627968000 cubic inches would be around 4312.3 feet tall.
Recreational maths with 138574627968000
- 138574627968000 backwards is 000869726475831
- The number of decimal digits it has is: 15
- The sum of 138574627968000's digits is 66
- More coming soon!
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"Number 138574627968000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 May 2024.
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Numbermatics. (2024). Number 138574627968000 - Facts about the integer. Retrieved 21 May 2024, from https://numbermatics.com/n/138574627968000/
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The information we have on file for 138574627968000 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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