138166591897152
138,166,591,897,152 is an even composite number composed of six prime numbers multiplied together.
What does the number 138166591897152 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2520 divisors.
138166591897152 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, five hundred twenty divisors.
Prime factorization of 138166591897152:
26 × 34 × 72 × 132 × 31 × 473
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 13 × 13 × 31 × 47 × 47 × 47)See below for interesting mathematical facts about the number 138166591897152 from the Numbermatics database.
Names of 138166591897152
- Cardinal: 138166591897152 can be written as One hundred thirty-eight trillion, one hundred sixty-six billion, five hundred ninety-one million, eight hundred ninety-seven thousand, one hundred fifty-two.
Scientific notation
- Scientific notation: 1.38166591897152 × 1014
Factors of 138166591897152
Divisors of 138166591897152
- Number of divisors d(n): 2520
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 31 32 36 39 42 47 48 49 52 54 56 62 63 64 72 78 81 84 91 93 94 96 98 104 108 112 117 124 126 141 144 147 156 162 168 169 182 186 188 189 192 196 208 216 217 224 234 248 252 273 279 282 288 294 312 324 329 336 338 351 364 372 376 378 392 403 416 423 432 434 441 448 468 496 504 507 546 558 564 567 576 588 611 624 637 648 651 658 672 676 702 728 744 752 756 784 806 819 832 837 846 864 868 882 936 987 992 1008 1014 1053 1092 1116 1128 1134 1176 1183 1209 1222 1248 1269 1274 1296 1302 1316 1323 1344 1352 1404 1456 1457 1488 1504 1512 1519 1521 1568 1612 1638 1674 1692 1728 1736 1764 1833 1872 1911 1953 1974 1984 2016 2028 2106 2184 2209 2232 2256 2268 2303 2352 2366 2418 2444 2457 2496 2511 2538 2548 2592 2604 2632 2646 2704 2808 2821 2912 2914 2961 2976 3008 3024 3038 3042 3136 3224 3276 3348 3384 3472 3528 3549 3627 3666 3744 3807 3822 3906 3948 3969 4032 4056 4212 4277 4368 4371 4418 4464 4512 4536 4557 4563 4606 4704 4732 4836 4888 4914 5022 5076 5096 5184 5208 5239 5264 5292 5408 5499 5616 5642 5733 5824 5828 5859 5922 5952 6048 6076 6084 6448 6552 6627 6696 6768 6909 6944 7056 7098 7254 7332 7371 7488 7614 7644 7812 7896 7938 7943 8112 8281 8424 8463 8554 8736 8742 8836 8883 8928 9024 9072 9114 9126 9212 9408 9464 9672 9776 9828 10044 10152 10192 10199 10416 10478 10528 10584 10647 10816 10881 10998 11232 11284 11466 11656 11718 11844 12096 12152 12168 12831 12896 13104 13113 13254 13392 13536 13671 13689 13818 13888 14112 14196 14508 14664 14742 15228 15288 15463 15624 15717 15792 15876 15886 16224 16497 16562 16848 16926 17108 17199 17472 17484 17577 17672 17766 17856 18144 18228 18252 18424 18928 18941 19344 19552 19656 19747 19881 20088 20304 20384 20398 20727 20832 20956 21056 21168 21294 21762 21996 22464 22568 22932 23312 23436 23688 23829 24304 24336 24843 25389 25662 25792 26208 26226 26508 26649 26784 27072 27342 27378 27636 28224 28392 28717 29016 29328 29484 29939 30456 30576 30597 30926 31248 31434 31584 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1233630284796 1279320295344 1328524922088 1409863182624 1439235332262 1469857360608 1485662278464 1518314196672 1644840379728 1705760393792 1771366562784 1918980443016 2158852998393 2193120506304 2228493417696 2467260569592 2558640590688 2657049844176 2819726365248 2878470664524 2939714721216 3289680759456 3542733125568 3837960886032 4317705996786 4456986835392 4934521139184 5117281181376 5314099688352 5756941329048 6579361518912 7675921772064 8635411993572 9869042278368 10628199376704 11513882658096 15351843544128 17270823987144 19738084556736 23027765316192 34541647974288 46055530632384 69083295948576 138166591897152
- Sum of all divisors σ(n): 544124806917120
- Sum of proper divisors (its aliquot sum) s(n): 405958215019968
- 138166591897152 is an abundant number, because the sum of its proper divisors (405958215019968) is greater than itself. Its abundance is 267791623122816
Bases of 138166591897152
- Binary: 111110110101001011010101010000100111110010000002
- Hexadecimal: 0x7DA96AA13E40
- Base-36: 1CZ4UTGK00
Squares and roots of 138166591897152
- 138166591897152 squared (1381665918971522) is 19090007116474148702545711104
- 138166591897152 cubed (1381665918971523) is 2637601222575611130416829381696816272375808
-
The
square root of 138166591897152 is 11754428.6078546583 -
The
cube root of 138166591897152 is 51697.2785696971
Scales and comparisons
How big is 138166591897152?- 138,166,591,897,152 seconds is equal to 4,393,270 years, 12 weeks, 5 days, 4 hours, 19 minutes, 12 seconds.
-
To count from 1 to 138,166,591,897,152 would take you about ten million, nine hundred eighty-three thousand, one hundred seventy-five 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 138166591897152 cubic inches would be around 4308.1 feet tall.
Recreational maths with 138166591897152
- 138166591897152 backwards is 251798195661831
- 138166591897152 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138166591897152's digits is 72
- More coming soon!
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"Number 138166591897152 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
APA style:
Numbermatics. (2024). Number 138166591897152 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/138166591897152/
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The information we have on file for 138166591897152 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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