137329813152
137,329,813,152 is an even composite number composed of four prime numbers multiplied together.
What does the number 137329813152 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 432 divisors.
137329813152 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 137329813152:
25 × 38 × 73 × 1907
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 1907)See below for interesting mathematical facts about the number 137329813152 from the Numbermatics database.
Names of 137329813152
- Cardinal: 137329813152 can be written as One hundred thirty-seven billion, three hundred twenty-nine million, eight hundred thirteen thousand, one hundred fifty-two.
Scientific notation
- Scientific notation: 1.37329813152 × 1011
Factors of 137329813152
Divisors of 137329813152
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 81 84 96 98 108 112 126 144 147 162 168 189 196 216 224 243 252 288 294 324 336 343 378 392 432 441 486 504 567 588 648 672 686 729 756 784 864 882 972 1008 1029 1134 1176 1296 1323 1372 1458 1512 1568 1701 1764 1907 1944 2016 2058 2187 2268 2352 2592 2646 2744 2916 3024 3087 3402 3528 3814 3888 3969 4116 4374 4536 4704 5103 5292 5488 5721 5832 6048 6174 6561 6804 7056 7628 7776 7938 8232 8748 9072 9261 10206 10584 10976 11442 11664 11907 12348 13122 13349 13608 14112 15256 15309 15876 16464 17163 17496 18144 18522 20412 21168 22884 23328 23814 24696 26244 26698 27216 27783 30512 30618 31752 32928 34326 34992 35721 37044 40047 40824 42336 45768 45927 47628 49392 51489 52488 53396 54432 55566 61024 61236 63504 68652 69984 71442 74088 80094 81648 83349 91536 91854 93443 95256 98784 102978 104976 106792 107163 111132 120141 122472 127008 137304 142884 148176 154467 160188 163296 166698 183072 183708 186886 190512 205956 209952 213584 214326 222264 240282 244944 250047 274608 280329 285768 296352 308934 320376 321489 333396 360423 367416 373772 381024 411912 427168 428652 444528 463401 480564 489888 500094 549216 560658 571536 617868 640752 642978 654101 666792 720846 734832 747544 750141 823824 840987 857304 889056 926802 961128 1000188 1081269 1121316 1143072 1235736 1281504 1285956 1308202 1333584 1390203 1441692 1469664 1495088 1500282 1647648 1681974 1714608 1853604 1922256 1962303 2000376 2162538 2242632 2250423 2471472 2522961 2571912 2616404 2667168 2780406 2883384 2990176 3000564 3243807 3363948 3429216 3707208 3844512 3924606 4000752 4170609 4325076 4485264 4500846 4942944 5045922 5143824 5232808 5560812 5766768 5886909 6001128 6487614 6727896 7414416 7568883 7849212 8001504 8341218 8650152 8970528 9001692 9731421 10091844 10287648 10465616 11121624 11533536 11773818 12002256 12511827 12975228 13455792 14828832 15137766 15698424 16682436 17300304 17660727 18003384 19462842 20183688 20931232 22243248 22706649 23547636 24004512 25023654 25950456 26911584 29194263 30275532 31396848 33364872 34600608 35321454 36006768 38925684 40367376 44486496 45413298 47095272 50047308 51900912 52982181 58388526 60551064 62793696 66729744 68119947 70642908 72013536 77851368 80734752 87582789 90826596 94190544 100094616 103801824 105964362 116777052 121102128 133459488 136239894 141285816 155702736 158946543 175165578 181653192 188381088 200189232 204359841 211928724 233554104 242204256 272479788 282571632 311405472 317893086 350331156 363306384 400378464 408719682 423857448 467108208 476839629 544959576 565143264 613079523 635786172 700662312 726612768 817439364 847714896 934216416 953679258 1089919152 1226159046 1271572344 1401324624 1430518887 1634878728 1695429792 1907358516 2179838304 2452318092 2543144688 2802649248 2861037774 3269757456 3814717032 4291556661 4904636184 5086289376 5722075548 6539514912 7629434064 8583113322 9809272368 11444151096 15258868128 17166226644 19618544736 22888302192 34332453288 45776604384 68664906576 137329813152
- Sum of all divisors σ(n): 473171025600
- Sum of proper divisors (its aliquot sum) s(n): 335841212448
- 137329813152 is an abundant number, because the sum of its proper divisors (335841212448) is greater than itself. Its abundance is 198511399296
Bases of 137329813152
- Binary: 11111111110010111111010100110101000002
- Hexadecimal: 0x1FF97EA6A0
- Base-36: 1R36MI00
Squares and roots of 137329813152
- 137329813152 squared (1373298131522) is 18859477580363232175104
- 137329813152 cubed (1373298131523) is 2589968532255615738897826866167808
-
The
square root of 137329813152 is 370580.3734036653 -
The
cube root of 137329813152 is 5159.2702375215
Scales and comparisons
How big is 137329813152?- 137,329,813,152 seconds is equal to 4,366 years, 34 weeks, 3 days, 10 hours, 19 minutes, 12 seconds.
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To count from 1 to 137,329,813,152 would take you about eight thousand, seven hundred thirty-three 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 137329813152 cubic inches would be around 429.9 feet tall.
Recreational maths with 137329813152
- 137329813152 backwards is 251318923731
- The number of decimal digits it has is: 12
- The sum of 137329813152's digits is 45
- More coming soon!
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