138137631566704000
138,137,631,566,704,000 is an even composite number composed of seven prime numbers multiplied together.
138137631566704000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 138137631566704000:
27 × 53 × 73 × 11 × 312 × 127 × 18749
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 11 × 31 × 31 × 127 × 18749)See below for interesting mathematical facts about the number 138137631566704000 from the Numbermatics database.
Names of 138137631566704000
- Cardinal: 138137631566704000 can be written as One hundred thirty-eight quadrillion, one hundred thirty-seven trillion, six hundred thirty-one billion, five hundred sixty-six million, seven hundred four thousand.
Scientific notation
- Scientific notation: 1.38137631566704 × 1017
Factors of 138137631566704000
Divisors of 138137631566704000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 31 32 35 40 44 49 50 55 56 62 64 70 77 80 88 98 100 110 112 124 125 127 128 140 154 155 160 175 176 196 200 217 220 224 245 248 250 254 275 280 308 310 320 341 343 350 352 385 392 400 434 440 448 490 496 500 508 539 550 560 616 620 635 640 682 686 700 704 770 775 784 800 868 875 880 889 896 961 980 992 1000 1016 1078 1085 1100 1120 1225 1232 1240 1270 1364 1372 1375 1397 1400 1408 1519 1540 1550 1568 1600 1705 1715 1736 1750 1760 1778 1922 1925 1960 1984 2000 2032 2156 2170 2200 2240 2387 2450 2464 2480 2540 2695 2728 2744 2750 2794 2800 3038 3080 3100 3136 3175 3200 3410 3430 3472 3500 3520 3556 3773 3844 3850 3875 3920 3937 3968 4000 4064 4312 4340 4400 4445 4480 4774 4805 4900 4928 4960 5080 5390 5425 5456 5488 5500 5588 5600 6076 6125 6160 6200 6223 6272 6350 6727 6820 6860 6944 6985 7000 7040 7112 7546 7595 7688 7700 7750 7840 7874 8000 8128 8525 8575 8624 8680 8800 8890 9548 9610 9625 9779 9800 9856 9920 10160 10571 10633 10780 10850 10912 10976 11000 11176 11200 11935 12152 12250 12320 12400 12446 12700 13454 13475 13640 13720 13888 13970 14000 14224 15092 15190 15376 15400 15500 15680 15748 15875 16000 16256 16709 17050 17150 17248 17360 17600 17780 18749 18865 19096 19220 19250 19558 19600 19685 19840 20320 21142 21266 21560 21700 21824 21952 22000 22225 22352 22400 23870 24025 24304 24500 24640 24800 24892 25400 26908 26950 27125 27280 27440 27559 27776 27940 28000 28448 30184 30380 30752 30800 31000 31115 31360 31496 31750 33418 33635 34100 34300 34496 34720 34925 35200 35560 37498 37730 37975 38192 38440 38500 39116 39200 39370 40640 42284 42532 42625 42875 43120 43307 43400 43561 43648 43904 44000 44450 44704 47089 47740 48050 48608 48895 49000 49280 49600 49784 50800 52855 53165 53816 53900 54250 54560 54880 55118 55880 56000 56896 59675 60368 60760 61504 61600 62000 62230 62992 63500 66836 67270 67375 68200 68453 68600 68992 69440 69850 71120 73997 74996 75460 75950 76384 76880 77000 78232 78400 78740 81280 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392436453314500 394678947333440 402733619728000 405095693744000 431680098645950 445605263118400 448498803788000 493348684166800 502318660242560 543848943176000 552550526266816 557006578898000 563827067619200 616685855208500 627898325303200 636578947312000 690688157833520 704783834524000 784872906629000 789357894666880 863360197291900 891210526236800 896997607576000 986697368333600 1079200246614875 1087697886352000 1105101052533632 1114013157796000 1233371710417000 1255796650606400 1381376315667040 1409567669048000 1569745813258000 1726720394583800 1793995215152000 1973394736667200 2158400493229750 2228026315592000 2466743420834000 2511593301212800 2762752631334080 2819135338096000 3139491626516000 3453440789167600 3946789473334400 4316800986459500 4456052631184000 4933486841668000 5525505262668160 6278983253032000 6906881578335200 8633601972919000 9866973683336000 12557966506064000 13813763156670400 17267203945838000 19733947366672000 27627526313340800 34534407891676000 69068815783352000 138137631566704000
- Sum of all divisors σ(n): 455057740800000000
- Sum of proper divisors (its aliquot sum) s(n): 316920109233296000
- 138137631566704000 is an abundant number, because the sum of its proper divisors (316920109233296000) is greater than itself. Its abundance is 178782477666592000
Bases of 138137631566704000
- Binary: 1111010101100001101110001101010111010010110101101100000002
- Hexadecimal: 0x1EAC371ABA5AD80
- Base-36: 11S5PBVEV0CG
Squares and roots of 138137631566704000
- 138137631566704000 squared (1381376315667040002) is 19082005254858457397601423616000000
- 138137631566704000 cubed (1381376315667040003) is 2635943011449547251168392981592010864881664000000000
-
The
square root of 138137631566704000 is 371668712.1169927051 -
The
cube root of 138137631566704000 is 516936.6632434709
Scales and comparisons
How big is 138137631566704000?- 138,137,631,566,704,000 seconds is equal to 4,392,349,396 years, 3 weeks, 5 days, 4 hours, 26 minutes, 40 seconds.
-
To count from 1 to 138,137,631,566,704,000 would take you about thirteen billion, one hundred seventy-seven million, forty-eight thousand, one hundred eighty-eight 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 138137631566704000 cubic inches would be around 43078.1 feet tall.
Recreational maths with 138137631566704000
- 138137631566704000 backwards is 000407665136731831
- The number of decimal digits it has is: 18
- The sum of 138137631566704000's digits is 61
- More coming soon!
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"Number 138137631566704000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 138137631566704000 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/138137631566704000/
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The information we have on file for 138137631566704000 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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