131438125151424
131,438,125,151,424 is an even composite number composed of six prime numbers multiplied together.
131438125151424 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 131438125151424:
26 × 37 × 72 × 13 × 172 × 5101
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 13 × 17 × 17 × 5101)See below for interesting mathematical facts about the number 131438125151424 from the Numbermatics database.
Names of 131438125151424
- Cardinal: 131438125151424 can be written as One hundred thirty-one trillion, four hundred thirty-eight billion, one hundred twenty-five million, one hundred fifty-one thousand, four hundred twenty-four.
Scientific notation
- Scientific notation: 1.31438125151424 × 1014
Factors of 131438125151424
Divisors of 131438125151424
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 17 18 21 24 26 27 28 32 34 36 39 42 48 49 51 52 54 56 63 64 68 72 78 81 84 91 96 98 102 104 108 112 117 119 126 136 144 147 153 156 162 168 182 189 192 196 204 208 216 221 224 234 238 243 252 272 273 288 289 294 306 312 324 336 351 357 364 378 392 408 416 432 441 442 448 459 468 476 486 504 544 546 567 576 578 588 612 624 637 648 663 672 702 714 728 729 756 784 816 819 832 833 864 867 882 884 918 936 952 972 1008 1053 1071 1088 1092 1134 1156 1176 1224 1248 1274 1296 1323 1326 1344 1377 1404 1428 1456 1458 1512 1547 1568 1632 1638 1666 1701 1728 1734 1764 1768 1836 1872 1904 1911 1944 1989 2016 2023 2106 2142 2184 2187 2268 2312 2352 2448 2457 2496 2499 2548 2592 2601 2646 2652 2754 2808 2856 2912 2916 3024 3094 3136 3159 3213 3264 3276 3332 3402 3468 3528 3536 3672 3744 3757 3808 3822 3888 3969 3978 4032 4046 4131 4212 4284 4368 4374 4536 4624 4641 4704 4896 4914 4998 5096 5101 5103 5184 5202 5292 5304 5508 5616 5712 5733 5824 5832 5967 6048 6069 6188 6318 6426 6552 6664 6804 6936 7056 7072 7344 7371 7488 7497 7514 7616 7644 7776 7803 7938 7956 8092 8262 8424 8568 8736 8748 9072 9248 9282 9408 9477 9639 9792 9828 9996 10192 10202 10206 10404 10584 10608 10829 11016 11232 11271 11424 11466 11664 11907 11934 12096 12138 12376 12393 12636 12852 13104 13328 13608 13872 13923 14112 14144 14161 14688 14742 14994 15028 15288 15303 15309 15552 15606 15876 15912 16184 16524 16848 17136 17199 17472 17496 17901 18144 18207 18496 18564 18954 19278 19656 19992 20384 20404 20412 20808 21168 21216 21658 22032 22113 22464 22491 22542 22848 22932 23328 23409 23814 23868 24276 24752 24786 25272 25704 26208 26299 26656 27216 27744 27846 28224 28322 28431 28917 29376 29484 29988 30056 30576 30606 30618 31212 31752 31824 32368 32487 33048 33696 33813 34272 34398 34992 35707 35721 35802 36288 36414 37128 37179 37908 38556 39312 39984 40768 40808 40824 41616 41769 42336 42432 42483 43316 44064 44226 44982 45084 45864 45909 46656 46818 47628 47736 48552 49504 49572 50544 51408 51597 52416 52598 53312 53703 54432 54621 55488 55692 56644 56862 57834 58968 59976 60112 61152 61212 61236 62424 63504 63648 64736 64974 66096 66313 66339 67392 67473 67626 68544 68796 69984 70227 71414 71442 71604 72828 74256 74358 75816 77112 78624 78897 79968 81616 81648 83232 83538 84672 84966 86632 86717 86751 88128 88452 89964 90168 91728 91818 93636 95256 95472 97104 97461 99008 99144 101088 101439 102816 103194 105196 107121 107163 107406 108864 109242 111384 113288 113724 115668 117936 119952 120224 122304 122424 122472 124848 125307 127008 127296 127449 129472 129948 132192 132626 132678 134946 135252 137592 137727 139968 140454 142828 142884 143208 145656 148512 148716 151632 154224 154791 157248 157794 159936 161109 163232 163296 163863 166464 167076 169932 173264 173434 173502 176904 179928 180336 183456 183636 184093 187272 190512 190944 194208 194922 198288 198939 199017 202176 202419 202878 205632 206388 210392 210681 214242 214326 214812 218484 222768 226576 227448 231336 235872 236691 239904 240448 244848 244944 249696 249949 250614 254016 254898 259896 260151 260253 264384 265252 265356 269892 270504 275184 275454 280908 285656 285768 286416 291312 292383 297024 297432 303264 304317 308448 309582 315588 321363 322218 326464 326592 327726 334152 339864 346528 346868 347004 353808 359856 360672 366912 367272 368186 374544 375921 381024 381888 382347 388416 389844 396576 397878 398034 404838 405756 412776 413181 420784 421362 428484 428652 429624 436968 445536 453152 454896 462672 464191 464373 471744 473382 479808 483327 489696 489888 491589 499392 499898 501228 509796 519792 520302 520506 530504 530712 539784 541008 550368 550908 552279 561816 571312 571536 572832 582624 584766 594864 596817 606528 607019 607257 608634 616896 619164 631176 632043 642726 644436 655452 668304 679728 693056 693736 694008 707616 710073 719712 721344 734544 736372 749088 749847 751842 762048 764694 779688 780453 793152 795756 796068 809676 811512 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51584821488 52596288576 52659505269 53495370432 53692044588 55883556612 56850400152 57953317968 60099737152 60182291736 61362336672 62411265504 64971885888 65197482714 66082516416 67612204296 68779761984 69032628756 70212673692 71589392784 74342830968 74511408816 75800533536 76063729833 77271090624 78894432864 80243055648 80538066882 83825334918 84963235392 86929976952 90149605728 90273437604 92043505008 93616898256 95452523712 97796224071 99123774624 99348545088 101418306444 103169642976 105319010538 107384089176 111767113224 113700800304 115906635936 120364583472 120807100323 122724673344 124822531008 130394965428 135224408592 138065257512 140425347384 143178785568 148685661936 149022817632 151601067072 152127459666 157788865728 157978515807 160486111296 161076133764 167650669836 173859953904 180299211456 180546875208 184087010016 187233796512 195592448142 198247549248 202836612888 206339285952 210638021076 214768178352 223534226448 227401600608 228191189499 231813271872 240729166944 241614200646 260789930856 270448817184 276130515024 280850694768 286357571136 293388672213 297371323872 298045635264 304254919332 315957031614 322152267528 335301339672 347719907808 361093750416 368174020032 374467593024 391184896284 405673225776 421276042152 429536356704 447068452896 454803201216 456382378998 481458333888 483228401292 521579861712 540897634368 552261030048 561701389536 586777344426 594742647744 608509838664 631914063228 644304535056 670602679344 684573568497 695439815616 722187500832 782369792568 811346451552 842552084304 859072713408 894136905792 912764757996 966456802584 1043159723424 1104522060096 1123402779072 1173554688852 1217019677328 1263828126456 1288609070112 1341205358688 1369147136994 1444375001664 1564739585136 1622692903104 1685104168608 1825529515992 1932913605168 2053720705491 2086319446848 2347109377704 2434039354656 2527656252912 2577218140224 2682410717376 2738294273988 3129479170272 3370208337216 3651059031984 3865827210336 4107441410982 4694218755408 4868078709312 5055312505824 5476588547976 6258958340544 7302118063968 7731654420672 8214882821964 9388437510816 10110625011648 10953177095952 14604236127936 16429765643928 18776875021632 21906354191904 32859531287856 43812708383808 65719062575712 131438125151424
- Sum of all divisors σ(n): 520666080352320
- Sum of proper divisors (its aliquot sum) s(n): 389227955200896
- 131438125151424 is an abundant number, because the sum of its proper divisors (389227955200896) is greater than itself. Its abundance is 257789830049472
Bases of 131438125151424
- Binary: 111011110001010110100101100001001110100110000002
- Hexadecimal: 0x778AD2C274C0
- Base-36: 1AL9UA3000
Squares and roots of 131438125151424
- 131438125151424 squared (1314381251514242) is 17275980743321398302929227776
- 131438125151424 cubed (1314381251514243) is 2270722519054268973391899123198115386753024
-
The
square root of 131438125151424 is 11464646.7521430419 -
The
cube root of 131438125151424 is 50844.0868484101
Scales and comparisons
How big is 131438125151424?- 131,438,125,151,424 seconds is equal to 4,179,325 years, 42 weeks, 2 days, 15 hours, 50 minutes, 24 seconds.
-
To count from 1 to 131,438,125,151,424 would take you about ten million, four hundred forty-eight thousand, three hundred fourteen 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 131438125151424 cubic inches would be around 4237 feet tall.
Recreational maths with 131438125151424
- 131438125151424 backwards is 424151521834131
- The number of decimal digits it has is: 15
- The sum of 131438125151424's digits is 45
- More coming soon!
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MLA style:
"Number 131438125151424 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 131438125151424 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/131438125151424/
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Numbermatics. 2024. "Number 131438125151424 - Facts about the integer". https://numbermatics.com/n/131438125151424/
The information we have on file for 131438125151424 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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