137530074528
137,530,074,528 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137530074528 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
137530074528 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 137530074528:
25 × 33 × 7 × 11 × 17 × 277 × 439
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 11 × 17 × 277 × 439)See below for interesting mathematical facts about the number 137530074528 from the Numbermatics database.
Names of 137530074528
- Cardinal: 137530074528 can be written as One hundred thirty-seven billion, five hundred thirty million, seventy-four thousand, five hundred twenty-eight.
Scientific notation
- Scientific notation: 1.37530074528 × 1011
Factors of 137530074528
Divisors of 137530074528
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 17 18 21 22 24 27 28 32 33 34 36 42 44 48 51 54 56 63 66 68 72 77 84 88 96 99 102 108 112 119 126 132 136 144 153 154 168 176 187 189 198 204 216 224 231 238 252 264 272 277 288 297 306 308 336 352 357 374 378 396 408 432 439 459 462 476 504 528 544 554 561 594 612 616 672 693 714 748 756 792 816 831 864 878 918 924 952 1008 1056 1071 1108 1122 1188 1224 1232 1309 1317 1386 1428 1496 1512 1584 1632 1662 1683 1756 1836 1848 1904 1939 2016 2079 2142 2216 2244 2376 2448 2464 2493 2618 2634 2772 2856 2992 3024 3047 3073 3168 3213 3324 3366 3512 3672 3696 3808 3878 3927 3951 4158 4284 4432 4488 4709 4752 4829 4896 4986 5049 5236 5268 5544 5712 5817 5984 6048 6094 6146 6426 6648 6732 7024 7344 7392 7463 7479 7756 7854 7902 8316 8568 8864 8976 9141 9219 9418 9504 9658 9972 10098 10472 10536 11088 11424 11634 11781 11853 12188 12292 12852 13296 13464 14048 14127 14487 14688 14926 14958 15512 15708 15804 16632 17136 17451 17952 18282 18438 18836 19316 19944 20196 20944 21072 21329 22176 22389 23268 23562 23706 24376 24584 25704 26592 26928 27423 27657 28254 28974 29852 29916 31024 31416 31608 32963 33264 33803 34272 34902 35343 36564 36876 37672 38632 39888 40392 41888 42144 42381 42658 43461 44778 46536 47124 47412 48752 49168 51408 51799 52241 52353 53856 54846 55314 56508 57948 59704 59832 62048 62832 63216 63987 65926 66528 67167 67606 69804 70686 73128 73752 75344 77264 79776 80784 82093 82269 82971 84762 85316 86922 89556 93072 94248 94824 97504 98336 98889 101409 102816 103598 104482 104706 109692 110628 113016 115896 119408 119664 121603 125664 126432 127143 127974 130383 131852 134334 135212 139608 141372 146256 147504 150688 154528 155397 156723 161568 164186 164538 165942 169524 170632 173844 179112 186144 188496 189648 191961 197778 201501 202818 207196 208964 209412 219384 221256 226032 231792 238816 239328 243206 246279 254286 255948 260766 263704 268668 270424 279216 282744 292512 295008 296667 304227 310794 313446 328372 329076 331884 339048 341264 347688 358224 362593 364809 376992 379296 383922 395556 403002 405636 414392 417928 418824 438768 442512 452064 463584 466191 470169 486412 492558 508572 511896 521532 527408 537336 540848 558432 565488 574651 575883 593334 608454 621588 626892 656744 658152 663768 678096 682528 695376 716448 725186 729618 738837 767844 791112 806004 811272 828784 835856 837648 851221 877536 885024 890001 912681 932382 940338 972824 985116 1017144 1023792 1043064 1054816 1074672 1081696 1087779 1094427 1130976 1149302 1151766 1186668 1216908 1243176 1253784 1313488 1316304 1327536 1337633 1356192 1390752 1398573 1410507 1450372 1459236 1477674 1535688 1582224 1612008 1622544 1657568 1671712 1675296 1702442 1723953 1780002 1825362 1864764 1880676 1945648 1970232 2034288 2047584 2067251 2086128 2149344 2175558 2188854 2216511 2298604 2303532 2373336 2433816 2486352 2507568 2553663 2626976 2632608 2655072 2675266 2797146 2821014 2900744 2918472 2955348 3071376 3164448 3224016 3245088 3263337 3283281 3404884 3447906 3560004 3650724 3729528 3761352 3891296 3940464 4012899 4068576 4134502 4172256 4351116 4377708 4433022 4597208 4607064 4746672 4867632 4972704 5015136 5107326 5171859 5350532 5594292 5642028 5801488 5836944 5910696 6142752 6201753 6448032 6526674 6566562 6809768 6895812 7120008 7301448 7459056 7522704 7660989 7880928 8025798 8269004 8702232 8755416 8866044 9194416 9214128 9363431 9493344 9735264 9790011 10214652 10343718 10701064 11188584 11284056 11602976 11673888 11821392 12038697 12403506 13053348 13133124 13619536 13791624 14240016 14470757 14602896 14918112 15045408 15321978 15515577 16051596 16538008 17404464 17510832 17732088 18388832 18428256 18605259 18726862 19580022 20429304 20687436 21402128 22377168 22568112 22739761 22982967 23642784 24077394 24807012 26106696 26266248 27239072 27583248 28090293 28480032 28941514 29205792 30643956 31031154 32103192 33076016 34808928 35021664 35464176 36116091 37210518 37453724 39160044 40858608 41374872 42804256 43412271 44754336 45136224 45479522 45965934 48154788 49614024 52213392 52532496 55166496 55815777 56180586 57883028 61287912 62062308 64206384 66152032 68219283 70928352 72232182 74421036 74907448 78320088 81717216 82749744 84270879 86824542 90959044 91931868 96309576 99228048 104426784 105064992 111631554 112361172 115766056 122575824 124124616 128412768 130236813 136438566 144464364 148842072 149814896 156640176 159178327 165499488 168541758 173649084 181918088 183863736 192619152 198456096 204657849 223263108 224722344 231532112 245151648 248249232 252812637 260473626 272877132 288928728 297684144 299629792 313280352 318356654 337083516 347298168 363836176 367727472 385238304 390710439 409315698 446526216 449444688 463064224 477534981 496498464 505625274 520947252 545754264 577857456 595368288 613973547 636713308 674167032 694596336 727672352 735454944 781420878 818631396 893052432 898889376 955069962 1011250548 1041894504 1091508528 1155714912 1227947094 1273426616 1348334064 1389192672 1432604943 1562841756 1637262792 1786104864 1910139924 2022501096 2083789008 2183017056 2455894188 2546853232 2696668128 2865209886 3125683512 3274525584 3820279848 4045002192 4167578016 4297814829 4911788376 5093706464 5730419772 6251367024 6549051168 7640559696 8090004384 8595629658 9823576752 11460839544 12502734048 15281119392 17191259316 19647153504 22921679088 34382518632 45843358176 68765037264 137530074528
- Sum of all divisors σ(n): 532649779200
- Sum of proper divisors (its aliquot sum) s(n): 395119704672
- 137530074528 is an abundant number, because the sum of its proper divisors (395119704672) is greater than itself. Its abundance is 257589630144
Bases of 137530074528
- Binary: 100000000001010110111001100101101000002
- Hexadecimal: 0x20056E65A0
- Base-36: 1R6HUSO0
Squares and roots of 137530074528
- 137530074528 squared (1375300745282) is 18914521399677234422784
- 137530074528 cubed (1375300745283) is 2601315537759060925310410581245952
-
The
square root of 137530074528 is 370850.4746228593 -
The
cube root of 137530074528 is 5161.7768569675
Scales and comparisons
How big is 137530074528?- 137,530,074,528 seconds is equal to 4,373 years, 1 week, 4 days, 6 hours, 28 minutes, 48 seconds.
-
To count from 1 to 137,530,074,528 would take you about eight thousand, seven hundred forty-six 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 137530074528 cubic inches would be around 430.1 feet tall.
Recreational maths with 137530074528
- 137530074528 backwards is 825470035731
- The number of decimal digits it has is: 12
- The sum of 137530074528's digits is 45
- More coming soon!
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The information we have on file for 137530074528 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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