137334488928
137,334,488,928 is an even composite number composed of seven prime numbers multiplied together.
137334488928 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 137334488928:
25 × 3 × 73 × 132 × 23 × 29 × 37
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 13 × 13 × 23 × 29 × 37)See below for interesting mathematical facts about the number 137334488928 from the Numbermatics database.
Names of 137334488928
- Cardinal: 137334488928 can be written as One hundred thirty-seven billion, three hundred thirty-four million, four hundred eighty-eight thousand, nine hundred twenty-eight.
Scientific notation
- Scientific notation: 1.37334488928 × 1011
Factors of 137334488928
Divisors of 137334488928
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 23 24 26 28 29 32 37 39 42 46 48 49 52 56 58 69 74 78 84 87 91 92 96 98 104 111 112 116 138 147 148 156 161 168 169 174 182 184 196 203 208 222 224 232 259 273 276 294 296 299 312 322 336 338 343 348 364 368 377 392 406 416 444 464 481 483 507 518 546 552 588 592 598 609 624 637 644 667 672 676 686 696 728 736 754 777 784 812 851 888 897 928 962 966 1014 1029 1036 1073 1092 1104 1127 1131 1176 1183 1184 1196 1218 1248 1274 1288 1334 1352 1372 1392 1421 1443 1456 1508 1554 1568 1624 1702 1776 1794 1813 1911 1924 1932 2001 2028 2058 2072 2093 2146 2184 2208 2254 2262 2352 2366 2392 2436 2548 2553 2576 2639 2668 2704 2744 2784 2842 2886 2912 3016 3108 3219 3248 3367 3381 3404 3549 3552 3588 3626 3822 3848 3864 3887 4002 4056 4116 4144 4186 4263 4292 4368 4459 4508 4524 4669 4704 4732 4784 4872 4901 5096 5106 5152 5278 5336 5408 5439 5488 5684 5772 5957 6032 6216 6253 6279 6438 6496 6734 6762 6808 7098 7176 7252 7511 7644 7696 7728 7774 7889 7917 8004 8112 8232 8281 8288 8372 8526 8584 8671 8736 8918 9016 9048 9338 9464 9568 9744 9802 9947 10101 10192 10212 10556 10672 10878 10976 11063 11368 11544 11661 11914 12064 12432 12506 12558 12691 12876 13377 13468 13524 13616 13949 14007 14196 14352 14504 14651 14703 15022 15288 15392 15456 15548 15778 15834 16008 16224 16464 16562 16744 17052 17168 17342 17836 17871 18032 18096 18473 18676 18759 18928 19488 19604 19894 20202 20384 20424 21112 21344 21756 22126 22533 22736 23088 23322 23569 23667 23828 24679 24843 24864 25012 25116 25382 25752 26013 26754 26936 27048 27209 27232 27898 28014 28392 28704 29008 29302 29406 29841 30044 30576 31096 31556 31668 32016 32683 32928 33124 33189 33488 34104 34307 34336 34684 35672 35742 36064 36192 36946 37352 37518 37856 38073 39208 39788 40404 40848 41699 41847 42224 43512 43771 43953 44252 45066 45472 46176 46644 47138 47334 47656 49358 49686 50024 50232 50764 51504 52026 52577 53508 53872 54096 54418 55419 55796 56028 56784 57967 58016 58604 58812 59682 60088 60697 61152 62192 63112 63336 64032 65366 66248 66378 66976 68208 68614 69368 70707 71344 71484 73892 74037 74704 75036 76146 77441 78416 79576 80808 81627 81696 83398 83694 84448 87024 87542 87906 88504 90132 93288 94276 94668 95312 97643 98049 98716 99372 100048 100464 101528 102557 102921 103008 104052 105154 107016 107744 108192 108836 110838 111592 112056 112723 113568 115934 117208 117624 119364 120176 121394 124384 125097 126224 126672 129311 130732 131313 132496 132756 136416 137228 138736 141414 142688 142968 143819 147784 148074 149408 150072 152292 154882 156832 157731 159152 161616 163254 164983 166796 167388 172753 173901 174048 175084 175812 177008 180264 181337 182091 186576 188552 189336 190463 190624 195286 196098 197432 198744 200096 200928 203056 205114 205842 208104 210308 214032 217672 221676 223184 224112 225446 228781 231868 232323 234416 235248 238728 240149 240352 242788 250194 252448 253344 258622 261464 262626 264992 265512 274456 277472 282828 285936 287638 291893 292929 295568 296148 300144 304584 306397 307671 309764 315462 318304 320827 323232 326508 329966 333592 334776 338169 345506 347802 350168 351624 354016 360528 362674 364182 368039 373152 377104 378672 380926 387933 390572 392196 394864 397488 406112 410228 411684 416208 420616 424879 428064 431457 435344 443352 446368 448224 450892 457562 463736 464646 468832 470496 477456 480298 485576 494949 500388 517244 518259 522928 525252 531024 542087 544011 548912 565656 571389 571872 575276 583786 585858 591136 592296 600288 609168 612794 615342 619528 630924 641654 653016 659932 667184 669552 676338 683501 686343 691012 695604 700336 703248 720447 721056 725348 728364 736078 754208 757344 761852 775866 781144 784392 789061 789728 794976 820456 823368 832416 841232 849758 862914 870688 875679 886704 901784 915124 919191 927472 929292 954912 960596 962481 971152 989898 1000776 1006733 1034488 1036518 1045856 1050504 1062048 1084174 1088022 1097824 1104117 1131312 1142778 1150552 1167572 1171716 1184592 1209271 1218336 1225588 1230684 1239056 1261848 1269359 1274637 1283308 1306032 1319864 1333241 1334368 1339104 1352676 1367002 1372686 1382024 1391208 1400672 1406496 1440894 1450696 1456728 1472156 1523704 1551732 1562288 1568784 1578122 1626261 1640912 1646736 1681043 1682464 1699516 1725828 1751358 1773408 1803568 1830248 1838382 1854944 1858584 1921192 1924962 1942304 1979796 2001552 2013466 2050503 2068976 2073036 2101008 2144779 2168348 2176044 2208234 2245789 2262624 2285556 2301104 2335144 2343432 2367183 2369184 2418542 2451176 2461368 2478112 2523696 2538718 2549274 2566616 2612064 2639728 2666482 2705352 2734004 2745372 2764048 2782416 2881788 2901392 2913456 2944312 2974153 3020199 3047408 3103464 3124576 3137568 3156244 3252522 3281824 3293472 3362086 3399032 3451656 3502716 3607136 3627813 3660496 3676764 3717168 3794609 3808077 3842384 3849924 3959592 3999723 4003104 4026932 4101006 4137952 4146072 4170751 4202016 4289558 4336696 4352088 4416468 4491578 4571112 4602208 4670288 4686864 4734366 4784507 4837084 4902352 4922736 5043129 5047392 5077436 5098548 5133232 5279456 5332964 5410704 5468008 5490744 5523427 5528096 5564832 5763576 5802784 5826912 5888624 5948306 6040398 6094816 6206928 6312488 6434337 6505044 6724172 6737367 6798064 6903312 7005432 7047131 7255626 7320992 7353528 7434336 7589218 7616154 7684768 7699848 7919184 7999446 8053864 8202012 8292144 8341502 8464897 8579116 8673392 8704176 8832936 8885513 8922459 8983156 9142224 9340576 9373728 9468732 9569014 9674168 9804704 9845472 10086258 10154872 10197096 10266464 10665928 10821408 10936016 10981488 11046854 11383827 11527152 11777248 11896612 12080796 12413856 12512253 12624976 12868674 13010088 13448344 13474734 13596128 13806624 14010864 14094262 14353521 14511252 14707056 15178436 15232308 15399696 15720523 15838368 15998892 16107728 16404024 16570281 16584288 16683004 16929794 17158232 17346784 17408352 17665872 17771026 17844918 17966312 18284448 18937464 19138028 19348336 20172516 20309744 20394192 21141393 21331856 21872032 21962976 22093708 22767654 23054304 23793224 24161592 25024506 25249952 25394691 25737348 26020176 26656539 26896688 26949468 28021728 28188524 28707042 29022504 29195257 29414112 30356872 30464616 30799392 31441046 31997784 32215456 32808048 33140562 33366008 33859588 34316464 35331744 35542052 35689836 35932624 37874928 38276056 38663989 38696672 40345032 40619488 40788384 42282786 42663712 44187416 45535308 47161569 47586448 48323184 49329917 50049012 50789382 51474696 52040352 53313078 53793376 53898936 56377048 57414084 58045008 58390514 60713744 60929232 62198591 62882092 63995568 65616096 66281124 66732016 67719176 68632928 71084104 71379672 71865248 75749856 76552112 77327978 80690064 84565572 87585771 88374832 91070616 94323138 95172896 96646368 98659834 100098024 101578764 102949392 106626156 107797872 110043661 112754096 114828168 115991967 116090016 116781028 121427488 121858464 124397182 125764184 127991136 132562248 133464032 135438352 142168208 142759344 147989751 153104224 154655956 161380128 169131144 175171542 176749664 182141232 186595773 188646276 197319668 200196048 203157528 204366799 205898784 213252312 215595744 220087322 225508192 229656336 231983934 233562056 248794364 251528368 265124496 270876704 284336416 285518688 295979502 309311912 330130983 338262288 350343084 364282464 373191546 377292552 394639336 400392096 406315056 408733598 426504624 440174644 459312672 463967868 467124112 497588728 503056736 530248992 591959004 613100397 618623824 660261966 676524576 700686168 746383092 754585104 789278672 812630112 817467196 853009248 880349288 927935736 934248224 995177456 1183918008 1226200794 1237247648 1320523932 1401372336 1430567593 1492766184 1509170208 1578557344 1634934392 1760698576 1855871472 1990354912 2367836016 2452401588 2641047864 2802744672 2861135186 2985532368 3269868784 3521397152 3711742944 4291702779 4735672032 4904803176 5282095728 5722270372 5971064736 6539737568 8583405558 9809606352 10564191456 11444540744 17166811116 19619212704 22889081488 34333622232 45778162976 68667244464 137334488928
- Sum of all divisors σ(n): 504693504000
- Sum of proper divisors (its aliquot sum) s(n): 367359015072
- 137334488928 is an abundant number, because the sum of its proper divisors (367359015072) is greater than itself. Its abundance is 230024526144
Bases of 137334488928
- Binary: 11111111110011100010111111111011000002
- Hexadecimal: 0x1FF9C5FF60
- Base-36: 1R39EPUO
Squares and roots of 137334488928
- 137334488928 squared (1373344889282) is 18860761849114954589184
- 137334488928 cubed (1373344889283) is 2590233089340922537627512836554752
-
The
square root of 137334488928 is 370586.6820704705 -
The
cube root of 137334488928 is 5159.3287907655
Scales and comparisons
How big is 137334488928?- 137,334,488,928 seconds is equal to 4,366 years, 42 weeks, 1 day, 13 hours, 8 minutes, 48 seconds.
-
To count from 1 to 137,334,488,928 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 137334488928 cubic inches would be around 429.9 feet tall.
Recreational maths with 137334488928
- 137334488928 backwards is 829884433731
- The number of decimal digits it has is: 12
- The sum of 137334488928's digits is 60
- More coming soon!
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"Number 137334488928 - Facts about the integer". Numbermatics.com. 2024. Web. 1 May 2024.
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Numbermatics. (2024). Number 137334488928 - Facts about the integer. Retrieved 1 May 2024, from https://numbermatics.com/n/137334488928/
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The information we have on file for 137334488928 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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