138437096009940
138,437,096,009,940 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138437096009940 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2880 divisors.
138437096009940 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 138437096009940:
22 × 35 × 5 × 7 × 134 × 173 × 29
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 13 × 13 × 13 × 13 × 17 × 17 × 17 × 29)See below for interesting mathematical facts about the number 138437096009940 from the Numbermatics database.
Names of 138437096009940
- Cardinal: 138437096009940 can be written as One hundred thirty-eight trillion, four hundred thirty-seven billion, ninety-six million, nine thousand, nine hundred forty.
Scientific notation
- Scientific notation: 1.3843709600994 × 1014
Factors of 138437096009940
Divisors of 138437096009940
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 7 9 10 12 13 14 15 17 18 20 21 26 27 28 29 30 34 35 36 39 42 45 51 52 54 58 60 63 65 68 70 78 81 84 85 87 90 91 102 105 108 116 117 119 126 130 135 140 145 153 156 162 169 170 174 180 182 189 195 203 204 210 221 234 238 243 252 255 260 261 270 273 289 290 306 315 324 338 340 348 351 357 364 377 378 390 405 406 420 435 442 455 459 468 476 486 493 507 510 522 540 546 567 578 580 585 595 609 612 630 663 676 702 714 754 756 765 780 783 810 812 819 845 867 870 884 910 918 945 972 986 1014 1015 1020 1044 1053 1071 1092 1105 1131 1134 1156 1170 1183 1190 1215 1218 1260 1305 1326 1365 1377 1404 1428 1445 1479 1508 1521 1530 1547 1566 1620 1638 1690 1701 1734 1740 1755 1785 1820 1827 1836 1885 1890 1972 1989 2023 2028 2030 2106 2142 2197 2210 2262 2268 2295 2340 2349 2366 2380 2430 2436 2457 2465 2535 2601 2610 2639 2652 2730 2754 2835 2873 2890 2958 3042 3045 3060 3094 3132 3159 3213 3276 3315 3380 3393 3402 3451 3468 3510 3549 3570 3654 3757 3770 3780 3915 3978 4046 4060 4095 4131 4212 4284 4335 4394 4420 4437 4524 4563 4590 4641 4698 4732 4860 4901 4913 4914 4930 5070 5202 5220 5265 5278 5355 5460 5481 5508 5655 5670 5746 5780 5915 5916 5967 6069 6084 6090 6188 6318 6409 6426 6591 6630 6786 6804 6885 6902 7020 7047 7098 7140 7308 7371 7395 7514 7540 7605 7735 7803 7830 7917 7956 8092 8190 8262 8381 8505 8619 8670 8788 8874 9126 9135 9180 9282 9396 9639 9802 9826 9828 9860 9945 10115 10140 10179 10353 10404 10530 10556 10647 10710 10962 10985 11271 11310 11340 11492 11745 11830 11934 12138 12180 12285 12636 12818 12852 13005 13182 13195 13260 13311 13572 13689 13770 13804 13923 14094 14196 14365 14703 14739 14742 14790 15028 15210 15379 15470 15606 15660 15795 15834 16065 16380 16443 16524 16762 16965 17010 17238 17255 17340 17745 17748 17901 18207 18252 18270 18564 18785 19227 19278 19604 19652 19773 19890 20111 20230 20358 20655 20706 21060 21294 21420 21924 21970 22113 22185 22542 22620 22815 23205 23409 23490 23660 23751 23868 24276 24505 24565 24570 25143 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170909995074 176803443180 177483456423 180963524196 183117851865 183603575610 193889490210 197203840470 204788603565 208804066380 219741422238 226204405245 227318712660 232667388252 236644608564 238684648293 239510546730 244157135820 253547794890 256364992611 265205164770 271445286294 273051471420 280805468580 284849991790 290834235315 295805760705 301605873660 304257353868 313206099570 318246197724 329612133357 340978068990 341819990148 354966912846 366235703730 367207151220 380321692335 387778980420 394407680940 397807747155 407167929441 409577207130 427274987685 439482844476 452408810490 477369296586 479021093460 507095589780 512729985222 530410329540 532450369269 542890572588 549353555595 569699983580 581668470630 591611521410 626412199140 659224266714 678613215735 681956137980 709933825692 732471407460 760643384670 769094977833 795615494310 814335858882 819154414260 854549975370 887417282115 904817620980 954738593172 988836400071 1025459970444 1064900738538 1098707111190 1163336941260 1183223042820 1193423241465 1281824963055 1318448533428 1357226431470 1521286769340 1538189955666 1591230988620 1628671717764 1648060666785 1709099950740 1774834564230 1977672800142 2035839647205 2129801477076 2197414222380 2307284933499 2386846482930 2563649926110 2662251846345 2714452862940 3076379911332 3296121333570 3549669128460 3845474889165 3955345600284 4071679294410 4614569866998 4773692965860 4944182000355 5127299852220 5324503692690 6592242667140 6921854800497 7690949778330 8143358588820 9229139733996 9888364000710 10649007385380 11536424667495 13843709600994 15381899556660 19776728001420 23072849334990 27687419201988 34609274002485 46145698669980 69218548004970 138437096009940
- Sum of all divisors σ(n): 592606982822400
- Sum of proper divisors (its aliquot sum) s(n): 454169886812460
- 138437096009940 is an abundant number, because the sum of its proper divisors (454169886812460) is greater than itself. Its abundance is 315732790802520
Bases of 138437096009940
- Binary: 111110111101000011001011110111001110000110101002
- Hexadecimal: 0x7DE865EE70D4
- Base-36: 1D2L4GMH90
Squares and roots of 138437096009940
- 138437096009940 squared (1384370960099402) is 19164829551665345468578803600
- 138437096009940 cubed (1384370960099403) is 2653123348658030796250362351496018907784000
-
The
square root of 138437096009940 is 11765929.4579705857 -
The
cube root of 138437096009940 is 51730.9944146311
Scales and comparisons
How big is 138437096009940?- 138,437,096,009,940 seconds is equal to 4,401,871 years, 22 weeks, 5 days, 19 hours, 39 minutes.
-
To count from 1 to 138,437,096,009,940 would take you about eleven million, four thousand, six hundred seventy-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 138437096009940 cubic inches would be around 4310.9 feet tall.
Recreational maths with 138437096009940
- 138437096009940 backwards is 049900690734831
- 138437096009940 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138437096009940's digits is 63
- More coming soon!
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"Number 138437096009940 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
APA style:
Numbermatics. (2024). Number 138437096009940 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/138437096009940/
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The information we have on file for 138437096009940 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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