137876400948
137,876,400,948 is an even composite number composed of six prime numbers multiplied together.
137876400948 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty-four divisors.
Prime factorization of 137876400948:
22 × 3 × 112 × 132 × 612 × 151
(2 × 2 × 3 × 11 × 11 × 13 × 13 × 61 × 61 × 151)See below for interesting mathematical facts about the number 137876400948 from the Numbermatics database.
Names of 137876400948
- Cardinal: 137876400948 can be written as One hundred thirty-seven billion, eight hundred seventy-six million, four hundred thousand, nine hundred forty-eight.
Scientific notation
- Scientific notation: 1.37876400948 × 1011
Factors of 137876400948
Divisors of 137876400948
- Number of divisors d(n): 324
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Complete list of divisors:
1 2 3 4 6 11 12 13 22 26 33 39 44 52 61 66 78 121 122 132 143 151 156 169 183 242 244 286 302 338 363 366 429 453 484 507 572 604 671 676 726 732 793 858 906 1014 1342 1452 1573 1586 1661 1716 1812 1859 1963 2013 2028 2379 2684 3146 3172 3322 3718 3721 3926 4026 4719 4758 4983 5577 5889 6292 6644 7381 7436 7442 7852 8052 8723 9211 9438 9516 9966 10309 11154 11163 11778 14762 14884 17446 18271 18422 18876 19932 20449 20618 21593 22143 22308 22326 23556 25519 26169 27633 29524 30927 34892 36542 36844 40898 40931 41236 43186 44286 44652 48373 51038 52338 54813 55266 61347 61854 64779 73084 76557 81796 81862 86372 88572 95953 96746 101321 102076 104676 109626 110532 113399 119743 122694 122793 123708 129558 145119 153114 163724 191906 193492 202642 219252 226798 237523 239486 245388 245586 259116 280709 287859 290238 303963 306228 340197 359229 383812 405284 450241 453596 475046 478972 491172 532103 561418 561871 575718 580476 607926 628849 680394 712569 718458 842127 900482 950092 1064206 1114531 1122836 1123742 1151436 1215852 1247389 1257698 1317173 1350723 1360788 1425138 1436916 1556659 1596309 1684254 1685613 1800964 1886547 2128412 2229062 2247484 2494778 2515396 2634346 2701446 2850276 3087799 3113318 3192618 3343593 3368508 3371226 3742167 3773094 3951519 4458124 4669977 4989556 5268692 5402892 5853133 6175598 6180581 6226636 6385236 6687186 6742452 6917339 7304323 7484334 7546188 7903038 9263397 9339954 11706266 12351196 12361162 13374372 13834678 14488903 14608646 14968668 15806076 17123249 17559399 18526794 18541743 18679908 20752017 21912969 23412532 24722324 27669356 28977806 29217292 34246498 35118798 37053588 37083486 41504034 43466709 43825938 51369747 57955612 67986391 68492996 70237596 74166972 76090729 80347553 83008068 86933418 87651876 94956199 102739494 135972782 152181458 160695106 173866836 188355739 189912398 203959173 205478988 228272187 241042659 271945564 284868597 304362916 321390212 376711478 379824796 407918346 456544374 482085318 565067217 569737194 753422956 815836692 883823083 913088748 964170636 1044518189 1130134434 1139474388 1767646166 2089036378 2260268868 2651469249 3133554567 3535292332 4178072756 5302938498 6267109134 10605876996 11489700079 12534218268 22979400158 34469100237 45958800316 68938200474 137876400948
- Sum of all divisors σ(n): 391868803872
- Sum of proper divisors (its aliquot sum) s(n): 253992402924
- 137876400948 is an abundant number, because the sum of its proper divisors (253992402924) is greater than itself. Its abundance is 116116001976
Bases of 137876400948
- Binary: 100000000110100001001011101011001101002
- Hexadecimal: 0x201A12EB34
- Base-36: 1RC81RUC
Squares and roots of 137876400948
- 137876400948 squared (1378764009482) is 19009901938373655298704
- 137876400948 cubed (1378764009483) is 2621016861637368485004457408771392
-
The
square root of 137876400948 is 371317.1164220685 -
The
cube root of 137876400948 is 5166.1059979399
Scales and comparisons
How big is 137876400948?- 137,876,400,948 seconds is equal to 4,384 years, 2 weeks, 1 day, 16 hours, 15 minutes, 48 seconds.
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To count from 1 to 137,876,400,948 would take you about eight thousand, seven hundred sixty-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 137876400948 cubic inches would be around 430.5 feet tall.
Recreational maths with 137876400948
- 137876400948 backwards is 849004678731
- The number of decimal digits it has is: 12
- The sum of 137876400948's digits is 57
- More coming soon!
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