138933379825344
138,933,379,825,344 is an even composite number composed of six prime numbers multiplied together.
138933379825344 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred sixty-four divisors.
Prime factorization of 138933379825344:
26 × 36 × 13 × 172 × 792 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 17 × 17 × 79 × 79 × 127)See below for interesting mathematical facts about the number 138933379825344 from the Numbermatics database.
Names of 138933379825344
- Cardinal: 138933379825344 can be written as One hundred thirty-eight trillion, nine hundred thirty-three billion, three hundred seventy-nine million, eight hundred twenty-five thousand, three hundred forty-four.
Scientific notation
- Scientific notation: 1.38933379825344 × 1014
Factors of 138933379825344
Divisors of 138933379825344
- Number of divisors d(n): 1764
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 24 26 27 32 34 36 39 48 51 52 54 64 68 72 78 79 81 96 102 104 108 117 127 136 144 153 156 158 162 192 204 208 216 221 234 237 243 254 272 288 289 306 312 316 324 351 381 408 416 432 442 459 468 474 486 508 544 576 578 612 624 632 648 663 702 711 729 762 816 832 864 867 884 918 936 948 972 1016 1027 1053 1088 1143 1156 1224 1248 1264 1296 1326 1343 1377 1404 1422 1458 1524 1632 1651 1728 1734 1768 1836 1872 1896 1944 1989 2032 2054 2106 2133 2159 2286 2312 2448 2496 2528 2592 2601 2652 2686 2754 2808 2844 2916 3048 3081 3159 3264 3302 3429 3468 3536 3672 3744 3757 3792 3888 3978 4029 4064 4108 4131 4212 4266 4318 4572 4624 4896 4953 5056 5184 5202 5304 5372 5508 5616 5688 5832 5967 6096 6162 6241 6318 6399 6477 6604 6858 6936 7072 7344 7488 7514 7584 7776 7803 7956 8058 8128 8216 8262 8424 8532 8636 9144 9243 9248 9477 9792 9906 10033 10287 10404 10608 10744 11016 11232 11271 11376 11664 11934 12087 12192 12324 12393 12482 12636 12798 12954 13208 13716 13872 14144 14688 14859 15028 15168 15552 15606 15912 16116 16432 16524 16848 17064 17272 17459 17901 18288 18486 18496 18723 18954 19197 19431 19812 20066 20574 20808 21216 21488 22032 22464 22542 22752 22831 23328 23409 23868 24174 24384 24648 24786 24964 25272 25596 25908 26416 27432 27729 27744 28067 29376 29718 30056 30099 30861 31212 31824 32232 32864 33048 33696 33813 34128 34544 34918 35802 36261 36576 36703 36972 37446 37908 38394 38862 39624 40132 41148 41616 42432 42976 44064 44577 45084 45504 45662 46656 46818 47736 48348 49296 49572 49928 50544 51192 51816 52377 52832 53703 54864 55458 55488 56134 56169 57591 58293 59436 60112 60198 61722 62424 63648 64464 65728 66096 67392 67626 68256 68493 69088 69836 70227 71604 72522 73152 73406 73944 74892 75816 76788 77724 79248 80264 81133 82296 83187 83232 84201 85952 88128 89154 90168 90297 91324 92583 93636 95472 96696 98592 99144 99856 101088 101439 102384 103632 104754 105664 106097 107406 108783 109728 110109 110916 112268 112338 115182 116586 118872 120224 120396 123444 124848 127296 128928 130429 132192 133731 135252 136512 136986 138176 139672 140454 143208 145044 146812 147888 149784 151632 153576 155448 157131 158496 160528 161109 162266 164592 166374 166464 168402 168507 170561 174879 178308 180336 180594 182648 185166 187272 190944 193392 197184 198288 199712 202176 202878 204768 205479 207264 209508 210681 212194 214812 217566 219456 220218 221832 224536 224676 230364 233172 237744 240448 240792 243399 246888 249561 249696 252603 257856 260858 264384 267462 270504 270891 273972 279344 280908 286416 290088 293624 295776 296803 299568 303264 304317 307152 310896 314262 316992 318291 321056 322218 324532 326349 329184 330327 332748 336804 337014 341122 349758 356616 360672 361188 365296 370332 374544 381888 386784 391287 396576 399424 401193 405756 409536 410958 414528 419016 421362 424388 429624 435132 440436 443664 449072 449352 460728 466344 471393 475488 477139 481584 486798 493776 499122 499392 505206 505521 511683 521716 524637 534924 541008 541782 547944 558688 561816 572832 580176 587248 591552 593606 599136 606528 608634 614304 616437 621792 628524 636582 642112 644436 649064 652698 658368 660654 665496 673608 674028 682244 699516 713232 721344 722376 730197 730592 740664 748683 749088 757809 773568 782574 792607 793152 802386 811512 812673 821916 838032 842724 848776 859248 870264 880872 887328 890409 898144 898704 912951 921456 932688 942786 950976 954278 954873 963168 973596 979047 987552 990981 998244 1010412 1011042 1023366 1043432 1049274 1069848 1082016 1083564 1095888 1117376 1123632 1145664 1160352 1173861 1174496 1187212 1198272 1203579 1217268 1228608 1232874 1243584 1257048 1273164 1288872 1298128 1305396 1321308 1330992 1347216 1348056 1364488 1379261 1399032 1414179 1426464 1431417 1444752 1460394 1461184 1481328 1497366 1498176 1515618 1516563 1535049 1565148 1573911 1585214 1604772 1623024 1625346 1643832 1676064 1685448 1697552 1718496 1740528 1761744 1774656 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253553976 256437792 256804668 259725456 264818112 266300784 271522368 274832064 275003424 278205057 278355552 281369244 285402528 288492516 291180096 292191138 294729408 297920376 301551848 309186072 309378852 313149996 315445104 319290192 323383656 327373488 329724512 331570584 335160423 338071968 339245829 342406224 346300608 347834331 350332294 355067712 359201466 363806613 370940076 375158992 380330964 384656688 385207002 389588184 397227168 407283552 412248096 412505136 417533328 420593472 422053866 425720256 428103792 431178208 432738774 436497984 438286707 442094112 446880564 452327772 456541632 458126846 463779108 468099648 469724994 473167656 478935288 485075484 494586768 497355876 507107952 512875584 513609336 519450912 525498441 532601568 538802199 550006848 556410114 556711104 562738488 570805056 576985032 577810503 584382276 595840752 603103696 618372144 618757704 626299992 630890208 633080799 638580384 646767312 654746976 659449024 663141168 670320846 676143936 678491658 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6305981292 6465626388 6548519034 6676921368 6752861856 6923820384 7012587312 7150089024 7237244352 7330029536 7420465728 7511536539 7515599904 7596969588 7761207744 7957694016 8043850152 8141899896 8246283228 8407975056 8455049892 8620835184 8731358712 8902561824 8933473497 9159637383 9244968048 9350116416 9458971938 9822778551 10015382052 10129292784 10518880968 10725133536 10855866528 10995044304 11130698592 11210633408 11273399856 11395454382 11494446912 11641811616 11911297996 12212849844 12326624064 12369424842 12611962584 12931252776 13097038068 13353842736 13505723712 13847640768 14025174624 14188457907 14660059072 15023073078 15031199808 15193939176 16087700304 16283799792 16492566456 16815950112 16910099784 17093181573 17241670368 17462717424 17805123648 17866946994 18319274766 18489936096 18554137263 18917943876 19645557102 20030764104 20258585568 21037761936 21450267072 21711733056 21990088608 22261397184 22546799712 22790908764 23283623232 23822595992 24425699688 24738849684 25223925168 25862505552 26194076136 26707685472 26800420491 27478912149 28050349248 28376915814 30046146156 30387878352 32175400608 32567599584 32985132912 33631900224 33820199568 34186363146 34483340736 34925434848 35733893988 36638549532 36979872192 37108274526 37835887752 39291114204 40061528208 40517171136 42075523872 42565373721 43980177216 45093599424 45581817528 47645191984 48851399376 49477699368 50447850336 51725011104 52388152272 53415370944 53600840982 54957824298 55662411789 56753831628 60092292312 60775756704 64350801216 65135199168 65970265824 67640399136 68372726292 69850869696 71467787976 73277099064 74216549052 75671775504 78582228408 80123056416 80401261473 84151047744 85130747442 91163635056 95290383968 97702798752 98955398736 100895700672 103450022208 104776304544 107201681964 109915648596 111324823578 113507663256 120184584624 121551513408 127696121163 131940531648 135280798272 136745452584 142935575952 146554198128 148433098104 151343551008 157164456816 160246112832 160802522946 166987235367 170261494884 182327270112 190580767936 195405597504 197910797472 209552609088 214403363928 219831297192 222649647156 227015326512 240369169248 241203784419 255392242326 273490905168 285871151904 293108396256 296866196208 302687102016 314328913632 321605045892 333974470734 340522989768 364654540224 395821594944 428806727856 439662594384 445299294312 454030653024 480738338496 482407568838 510784484652 546981810336 571742303808 586216792512 593732392416 628657827264 643210091784 667948941468 681045979536 723611353257 857613455712 879325188768 890598588624 908061306048 964815137676 1021568969304 1093963620672 1187464784832 1286420183568 1335897882936 1362091959072 1447222706514 1715226911424 1758650377536 1781197177248 1929630275352 2043137938608 2170834059771 2572840367136 2671795765872 2724183918144 2894445413028 3562394354496 3859260550704 4086275877216 4341668119542 5145680734272 5343591531744 5788890826056 7718521101408 8172551754432 8683336239084 10687183063488 11577781652112 15437042202816 17366672478168 23155563304224 34733344956336 46311126608448 69466689912672 138933379825344
- Sum of all divisors σ(n): 482709731153664
- Sum of proper divisors (its aliquot sum) s(n): 343776351328320
- 138933379825344 is an abundant number, because the sum of its proper divisors (343776351328320) is greater than itself. Its abundance is 204842971502976
Bases of 138933379825344
- Binary: 111111001011011111100101100000001111110110000002
- Hexadecimal: 0x7E5BF2C07EC0
- Base-36: 1D8X437000
Squares and roots of 138933379825344
- 138933379825344 squared (1389333798253442) is 19302484029693303195944718336
- 138933379825344 cubed (1389333798253443) is 2681759345270016325687288448577534954307584
-
The
square root of 138933379825344 is 11787000.4592069139 -
The
cube root of 138933379825344 is 51792.7375895715
Scales and comparisons
How big is 138933379825344?- 138,933,379,825,344 seconds is equal to 4,417,651 years, 37 weeks, 6 days, 11 hours, 2 minutes, 24 seconds.
-
To count from 1 to 138,933,379,825,344 would take you about eleven million, forty-four thousand, one hundred twenty-nine 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 138933379825344 cubic inches would be around 4316.1 feet tall.
Recreational maths with 138933379825344
- 138933379825344 backwards is 443528973339831
- 138933379825344 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138933379825344's digits is 72
- More coming soon!
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"Number 138933379825344 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 138933379825344 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/138933379825344/
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The information we have on file for 138933379825344 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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