131628325248
131,628,325,248 is an even composite number composed of seven prime numbers multiplied together.
131628325248 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 131628325248:
27 × 32 × 72 × 19 × 31 × 37 × 107
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 19 × 31 × 37 × 107)See below for interesting mathematical facts about the number 131628325248 from the Numbermatics database.
Names of 131628325248
- Cardinal: 131628325248 can be written as One hundred thirty-one billion, six hundred twenty-eight million, three hundred twenty-five thousand, two hundred forty-eight.
Scientific notation
- Scientific notation: 1.31628325248 × 1011
Factors of 131628325248
Divisors of 131628325248
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 31 32 36 37 38 42 48 49 56 57 62 63 64 72 74 76 84 93 96 98 107 111 112 114 124 126 128 133 144 147 148 152 168 171 186 192 196 214 217 222 224 228 248 252 259 266 279 288 294 296 304 321 333 336 342 372 384 392 399 428 434 441 444 448 456 496 504 518 532 558 576 588 589 592 608 642 651 666 672 684 703 744 749 777 784 798 856 868 882 888 896 912 931 963 992 1008 1036 1064 1116 1147 1152 1176 1178 1184 1197 1216 1284 1302 1332 1344 1368 1406 1488 1498 1519 1554 1568 1596 1712 1736 1764 1767 1776 1813 1824 1862 1926 1953 1984 2016 2033 2072 2109 2128 2232 2247 2294 2331 2352 2356 2368 2394 2432 2568 2604 2664 2688 2736 2793 2812 2976 2996 3038 3108 3136 3192 3317 3424 3441 3472 3528 3534 3552 3626 3648 3724 3852 3906 3959 3968 4032 4066 4123 4144 4218 4256 4464 4494 4557 4588 4662 4704 4712 4736 4788 4921 5136 5208 5243 5301 5328 5439 5472 5586 5624 5952 5992 6076 6099 6216 6272 6327 6384 6634 6741 6848 6882 6944 7056 7068 7104 7252 7296 7448 7704 7812 7918 8029 8064 8132 8246 8288 8379 8436 8512 8928 8988 9114 9176 9324 9408 9424 9576 9842 9951 10272 10323 10416 10486 10602 10656 10878 10944 11172 11248 11877 11904 11984 12152 12198 12369 12432 12654 12768 13268 13482 13671 13696 13764 13888 14112 14136 14208 14231 14504 14763 14896 15408 15624 15729 15836 16058 16264 16317 16492 16576 16758 16872 17024 17856 17976 18228 18297 18352 18648 18816 18848 19152 19684 19902 20544 20646 20832 20972 21204 21312 21756 21793 21888 22344 22496 23219 23754 23968 24087 24304 24396 24738 24864 25308 25536 26536 26964 27342 27528 27713 27776 28224 28272 28462 28861 29008 29526 29792 29853 30816 31248 31458 31672 32116 32528 32634 32984 33152 33516 33744 34447 35631 35712 35952 36456 36594 36704 37107 37296 37696 38304 39368 39804 41088 41292 41664 41944 42408 42624 42693 43512 43586 44289 44688 44992 46438 47187 47508 47936 48174 48608 48792 49476 49728 50616 51072 53072 53928 54684 55056 55426 56203 56448 56544 56924 57722 58016 59052 59584 59706 61632 62496 62916 63023 63344 64232 65056 65268 65379 65968 67032 67488 68894 69657 71262 71904 72261 72912 73188 73408 74214 74592 75221 75392 76608 78736 79608 82584 83139 83328 83888 84816 85386 86583 87024 87172 88578 89376 89984 92876 94374 95016 95872 96348 97216 97584 98952 99456 99617 101232 103341 106144 107856 109368 110112 110852 112406 113088 113848 115444 116032 118104 119168 119412 122729 123264 124992 125832 126046 126688 128079 128464 130112 130536 130758 131936 134064 134976 137788 139314 142524 143808 144522 145824 146376 146816 148428 149184 150442 152551 153216 157472 159216 162533 165168 166278 167776 168609 169632 170772 173166 174048 174344 177156 178752 185752 188748 189069 190032 192696 193991 194432 195168 196137 197904 199234 202464 206682 208971 212288 215712 218736 220224 221704 224812 225663 226176 227696 230888 232064 236208 238824 245458 249417 249984 251664 252092 253376 256158 256928 259749 260224 261072 261516 263872 268128 269952 275576 278628 285048 287616 289044 291648 292752 296856 298368 298851 300884 305102 310023 314944 318432 325066 330336 332556 335552 337218 339264 341544 346332 348096 348688 354312 357504 368187 371504 377496 378138 380064 385392 387982 390336 392274 395808 398468 404928 413364 417942 424576 431424 437472 440448 441161 443408 449624 451326 455392 457653 461776 472416 477648 487599 490916 498834 503328 504184 505827 506752 512316 513856 519498 522144 523032 526547 527744 536256 551152 557256 567207 570096 578088 581973 583296 585504 593712 597702 601768 610204 620046 629888 636864 650132 660672 665112 671104 674436 676989 678528 683088 692664 696192 697376 708624 736374 743008 754992 756276 760128 770784 775964 780672 784548 791616 796936 809856 826728 835884 859103 862848 874944 882322 886816 896553 899248 902652 910784 915306 923552 944832 955296 975198 981832 997668 1006656 1008368 1011654 1024632 1027712 1038996 1044288 1046064 1053094 1067857 1072512 1102304 1104561 1114512 1134414 1140192 1156176 1163946 1171008 1187424 1195404 1203536 1220408 1240092 1273728 1300264 1321344 1323483 1330224 1348872 1353978 1366176 1372959 1385328 1394752 1417248 1462797 1472748 1486016 1509984 1512552 1520256 1541568 1551928 1569096 1579641 1583232 1593872 1653456 1671768 1718206 1745919 1749888 1764644 1773632 1793106 1798496 1805304 1821568 1830612 1847104 1889664 1910592 1950396 1963664 1995336 2013312 2016736 2023308 2049264 2077992 2088576 2092128 2106188 2135714 2204608 2209122 2229024 2268828 2280384 2312352 2327892 2331851 2342016 2374848 2390808 2407072 2440816 2480184 2577309 2600528 2646966 2660448 2697744 2707956 2732352 2745918 2770656 2789504 2834496 2925594 2945496 2972032 3019968 3025104 3083136 3088127 3103856 3138192 3159282 3187744 3203571 3306912 3343536 3436412 3491838 3529288 3547264 3586212 3596992 3610608 3661224 3685829 3694208 3821184 3900792 3927328 3970449 3990672 4033472 4046616 4098528 4155984 4184256 4212376 4271428 4409216 4418244 4458048 4537656 4560768 4624704 4655784 4663702 4738923 4749696 4781616 4814144 4881632 4960368 5154618 5201056 5293932 5320896 5395488 5415912 5464704 5491836 5541312 5668992 5851188 5890992 6013721 6039936 6050208 6176254 6207712 6276384 6318564 6375488 6407142 6613824 6687072 6872824 6983676 6995553 7058576 7172424 7193984 7221216 7322448 7371658 7731927 7801584 7854656 7940898 7981344 8066944 8093232 8197056 8311968 8368512 8424752 8542856 8836488 8916096 9075312 9249408 9264381 9311568 9327404 9477846 9563232 9610713 9628288 9763264 9920736 10309236 10402112 10587864 10641792 10790976 10831824 10983672 11057487 11082624 11702376 11781984 12027442 12100416 12352508 12415424 12552768 12637128 12750976 12814284 13227648 13374144 13745648 13967352 13991106 14117152 14344848 14442432 14644896 14743316 15463854 15603168 15709312 15881796 15962688 16186464 16322957 16394112 16623936 16849504 17085712 17672976 18041163 18150624 18528762 18623136 18654808 18955692 19126464 19221426 19526528 19841472 20618472 20804224 20986659 21175728 21581952 21663648 21967344 22114974 23404752 23563968 24054884 24200832 24705016 24830848 25105536 25274256 25628568 26748288 27491296 27793143 27934704 27982212 28234304 28689696 28884864 29289792 29486632 30927708 31206336 31763592 31925376 32372928 32645914 33172461 33247872 33699008 34171424 35345952 36082326 36301248 37057524 37246272 37309616 37911384 38252928 38442852 39682944 41236944 41973318 42351456 43327296 43934688 44229948 46809504 47127936 48109768 48968871 49410032 50548512 51257136 54123489 54982592 55586286 55869408 55964424 56468608 57379392 58579584 58973264 61855416 62412672 63527184 64745856 65291828 66344922 67398016 68342848 70691904 72164652 72602496 74115048 74492544 74619232 75822768 76885704 82473888 83946636 84702912 86654592 87869376 88459896 93619008 96219536 97937742 98820064 101097024 102514272 108246978 109965184 111172572 111738816 111928848 114260699 114758784 117946528 123710832 127054368 130583656 132689844 136685696 141383808 144329304 146906613 148230096 149238464 151645536 153771408 164947776 167893272 169405824 175738752 176919792 187238016 192439072 195875484 197640128 202194048 205028544 216493956 222345144 223477632 223857696 228521398 235893056 247421664 254108736 261167312 265379688 288658608 293813226 296460192 298476928 303291072 307542816 329895552 335786544 342782097 353839584 384878144 391750968 395280256 410057088 432987912 444690288 447715392 457042796 471786112 494843328 508217472 522334624 530759376 577317216 587626452 592920384 606582144 615085632 671573088 685564194 707679168 769756288 783501936 865975824 889380576 895430784 914085592 989686656 1028346291 1044669248 1061518752 1154634432 1175252904 1185840768 1230171264 1343146176 1371128388 1415358336 1567003872 1731951648 1778761152 1828171184 2056692582 2089338496 2123037504 2309268864 2350505808 2686292352 2742256776 3134007744 3463903296 3557522304 3656342368 4113385164 4246075008 4701011616 5484513552 6268015488 6927806592 7312684736 8226770328 9402023232 10969027104 14625369472 16453540656 18804046464 21938054208 32907081312 43876108416 65814162624 131628325248
- Sum of all divisors σ(n): 496301644800
- Sum of proper divisors (its aliquot sum) s(n): 364673319552
- 131628325248 is an abundant number, because the sum of its proper divisors (364673319552) is greater than itself. Its abundance is 233044994304
Bases of 131628325248
- Binary: 11110101001011010100011011001100000002
- Hexadecimal: 0x1EA5A8D980
- Base-36: 1OGW3TS0
Squares and roots of 131628325248
- 131628325248 squared (1316283252482) is 17326016007593274261504
- 131628325248 cubed (1316283252483) is 2280594470299541942190515517652992
-
The
square root of 131628325248 is 362806.1813806375 -
The
cube root of 131628325248 is 5086.8600003203
Scales and comparisons
How big is 131628325248?- 131,628,325,248 seconds is equal to 4,185 years, 19 weeks, 2 days, 23 hours, 40 minutes, 48 seconds.
-
To count from 1 to 131,628,325,248 would take you about eight thousand, three hundred seventy 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 131628325248 cubic inches would be around 423.9 feet tall.
Recreational maths with 131628325248
- 131628325248 backwards is 842523826131
- The number of decimal digits it has is: 12
- The sum of 131628325248's digits is 45
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 131628325248 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
APA style:
Numbermatics. (2024). Number 131628325248 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/131628325248/
Chicago style:
Numbermatics. 2024. "Number 131628325248 - Facts about the integer". https://numbermatics.com/n/131628325248/
The information we have on file for 131628325248 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!
Keywords: Divisors of 131628325248, math, Factors of 131628325248, curriculum, school, college, exams, university, Prime factorization of 131628325248, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-one billion, six hundred twenty-eight million, three hundred twenty-five thousand, two hundred forty-eight.