138817292950568960
138,817,292,950,568,960 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138817292950568960 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2400 divisors.
138817292950568960 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 138817292950568960:
224 × 5 × 72 × 13 × 19 × 73 × 1873
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 13 × 19 × 73 × 1873)See below for interesting mathematical facts about the number 138817292950568960 from the Numbermatics database.
Names of 138817292950568960
- Cardinal: 138817292950568960 can be written as One hundred thirty-eight quadrillion, eight hundred seventeen trillion, two hundred ninety-two billion, nine hundred fifty million, five hundred sixty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3881729295056896 × 1017
Factors of 138817292950568960
Divisors of 138817292950568960
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 19 20 26 28 32 35 38 40 49 52 56 64 65 70 73 76 80 91 95 98 104 112 128 130 133 140 146 152 160 182 190 196 208 224 245 247 256 260 266 280 292 304 320 364 365 380 392 416 448 455 490 494 511 512 520 532 560 584 608 637 640 665 728 730 760 784 832 896 910 931 949 980 988 1022 1024 1040 1064 1120 1168 1216 1235 1274 1280 1330 1387 1456 1460 1520 1568 1664 1729 1792 1820 1862 1873 1898 1960 1976 2044 2048 2080 2128 2240 2336 2432 2470 2548 2555 2560 2660 2774 2912 2920 3040 3136 3185 3328 3458 3577 3584 3640 3724 3746 3796 3920 3952 4088 4096 4160 4256 4480 4655 4672 4745 4864 4940 5096 5110 5120 5320 5548 5824 5840 6080 6272 6370 6643 6656 6916 6935 7154 7168 7280 7448 7492 7592 7840 7904 8176 8192 8320 8512 8645 8960 9310 9344 9365 9490 9709 9728 9880 10192 10220 10240 10640 11096 11648 11680 12103 12160 12544 12740 13111 13286 13312 13832 13870 14308 14336 14560 14896 14984 15184 15680 15808 16352 16384 16640 17024 17290 17885 17920 18031 18620 18688 18730 18980 19418 19456 19760 20384 20440 20480 21280 22192 23296 23360 24206 24320 24349 25088 25480 26222 26572 26624 27664 27740 28616 28672 29120 29792 29968 30368 31360 31616 32704 32768 33215 33280 34048 34580 35587 35770 35840 36062 37240 37376 37460 37960 38836 38912 39520 40768 40880 40960 42560 44384 46501 46592 46720 48412 48545 48640 48698 50176 50960 52444 53144 53248 55328 55480 57232 57344 58240 59584 59936 60515 60736 62720 63232 65408 65536 65555 66430 66560 67963 68096 69160 71174 71540 71680 72124 74480 74752 74920 75920 77672 77824 79040 81536 81760 81920 85120 88768 90155 91777 93002 93184 93440 96824 97090 97280 97396 100352 101920 104888 106288 106496 110656 110960 114464 114688 116480 119168 119872 121030 121472 121745 125440 126217 126464 130816 131072 131110 132860 133120 135926 136192 136729 138320 142348 143080 143360 144248 148960 149504 149840 151840 155344 155648 158080 163072 163520 163840 170240 170443 177536 177935 180310 183554 186004 186368 186880 193648 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2646962339840 2724044210176 2766607400960 2850574827520 2853973950464 2859559026688 2867414958080 2971260551168 2979423354880 2985253928960 3127642685440 3261684514816 3389094066176 3395726344192 3405055262720 3512583323648 3567467438080 3574448783360 3656936062976 3705747275776 3714075688960 3727639445504 3849406382080 3873250361344 3880830107648 3900786606080 4014380941312 4077105643520 4171192696832 4179355500544 4236367582720 4244657930240 4390729154560 4426571841536 4571170078720 4632184094720 4659549306880 4767077367808 4841562951680 4851037634560 5004228296704 5017976176640 5213990871040 5224194375680 5293924679680 5448088420352 5533214801920 5701149655040 5707947900928 5734829916160 5942521102336 5958846709760 6255285370880 6523369029632 6778188132352 6791452688384 6810110525440 7025166647296 7134934876160 7148897566720 7313872125952 7411494551552 7428151377920 7455278891008 7698812764160 7746500722688 7761660215296 8028761882624 8154211287040 8342385393664 8472735165440 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5339126651944960 6940864647528448 7306173313187840 8676080809410560 9915520925040640 10678253303889920 13881729295056896 17352161618821120 19831041850081280 27763458590113792 34704323237642240 69408646475284480 138817292950568960
- Sum of all divisors σ(n): 445589883616570560
- Sum of proper divisors (its aliquot sum) s(n): 306772590666001600
- 138817292950568960 is an abundant number, because the sum of its proper divisors (306772590666001600) is greater than itself. Its abundance is 167955297715432640
Bases of 138817292950568960
- Binary: 1111011010010110110010111101010110000000000000000000000002
- Hexadecimal: 0x1ED2D97AB000000
- Base-36: 11YUMG02H728
Squares and roots of 138817292950568960
- 138817292950568960 squared (1388172929505689602) is 19270240822124082676493987715481600
- 138817292950568960 cubed (1388172929505689603) is 2675042665432811622371041689693328536785320411136000
-
The
square root of 138817292950568960 is 372581927.8367765385 -
The
cube root of 138817292950568960 is 517783.0829400235
Scales and comparisons
How big is 138817292950568960?- 138,817,292,950,568,960 seconds is equal to 4,413,960,525 years, 38 weeks, 6 days, 7 hours, 49 minutes, 20 seconds.
-
To count from 1 to 138,817,292,950,568,960 would take you about thirteen billion, two hundred forty-one million, eight hundred eighty-one thousand, five hundred seventy-seven 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 138817292950568960 cubic inches would be around 43148.6 feet tall.
Recreational maths with 138817292950568960
- 138817292950568960 backwards is 069865059292718831
- The number of decimal digits it has is: 18
- The sum of 138817292950568960's digits is 89
- More coming soon!
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"Number 138817292950568960 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 138817292950568960 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/138817292950568960/
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The information we have on file for 138817292950568960 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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