506442149136
506,442,149,136 is an even composite number composed of seven prime numbers multiplied together.
506442149136 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 506442149136:
24 × 32 × 72 × 11 × 29 × 71 × 3169
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 11 × 29 × 71 × 3169)See below for interesting mathematical facts about the number 506442149136 from the Numbermatics database.
Names of 506442149136
- Cardinal: 506442149136 can be written as Five hundred six billion, four hundred forty-two million, one hundred forty-nine thousand, one hundred thirty-six.
Scientific notation
- Scientific notation: 5.06442149136 × 1011
Factors of 506442149136
Divisors of 506442149136
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 29 33 36 42 44 48 49 56 58 63 66 71 72 77 84 87 88 98 99 112 116 126 132 142 144 147 154 168 174 176 196 198 203 213 231 232 252 261 264 284 294 308 319 336 348 392 396 406 426 441 462 464 497 504 522 528 539 568 588 609 616 638 639 693 696 781 784 792 812 852 882 924 957 994 1008 1044 1078 1136 1176 1218 1232 1276 1278 1386 1392 1421 1491 1562 1584 1617 1624 1704 1764 1827 1848 1914 1988 2059 2088 2156 2233 2343 2352 2436 2552 2556 2772 2842 2871 2982 3124 3169 3234 3248 3408 3479 3528 3654 3696 3828 3976 4118 4176 4263 4312 4466 4473 4686 4851 4872 5104 5112 5467 5544 5684 5742 5964 6177 6248 6338 6468 6699 6958 7029 7056 7308 7656 7952 8236 8526 8624 8932 8946 9372 9507 9702 9744 10224 10437 10934 11088 11368 11484 11928 12354 12496 12676 12789 12936 13398 13916 14058 14413 14616 15312 15631 16401 16472 17052 17864 17892 18531 18744 19014 19404 20097 20874 21868 22183 22649 22736 22968 23856 24708 25352 25578 25872 26796 27832 28116 28521 28826 29232 31262 31311 32802 32944 34104 34859 35728 35784 37062 37488 38028 38269 38808 40194 41748 43239 43736 44366 45298 45936 46893 49203 49416 50704 51156 53592 55664 56232 57042 57652 62524 62622 65604 66549 67947 68208 69718 71568 74124 76056 76538 77616 80388 83496 86478 87472 88732 90596 91901 93786 98406 98832 100891 102312 104577 107184 112464 114084 114807 115304 125048 125244 129717 131208 133098 135894 139436 140679 148248 152112 153076 155281 158543 160776 166992 172956 177464 181192 183802 187572 196812 199647 201782 203841 204624 209154 224999 228168 229614 230608 244013 250096 250488 259434 262416 266196 271788 275703 278872 281358 296496 302673 306152 310562 313731 317086 321552 344421 345912 354928 362384 367604 375144 393624 399294 403564 407682 418308 449998 456336 459228 465843 475629 488026 500976 518868 532392 543576 551406 557744 562716 605346 612304 621124 627462 634172 643307 674997 688842 691824 732039 735208 750288 787248 798588 807128 815364 827109 836616 899996 908019 918456 931686 951258 976052 1010911 1037736 1064784 1087152 1102812 1109801 1125432 1210692 1242248 1254924 1268344 1286614 1349994 1377684 1397529 1426887 1464078 1470416 1574993 1597176 1614256 1630728 1654218 1673232 1708091 1799992 1816038 1836912 1863372 1902516 1929921 1952104 2021822 2024991 2075472 2196117 2205624 2219602 2250864 2421384 2474989 2484496 2509848 2536688 2573228 2699988 2755368 2795058 2853774 2928156 3032733 3149986 3194352 3261456 3308436 3329403 3416182 3599984 3632076 3726744 3805032 3859842 3904208 4043644 4049982 4392234 4411248 4439204 4503149 4724979 4842768 4949978 5019696 5124273 5146456 5399976 5510736 5590116 5707548 5789763 5856312 6065466 6299972 6524971 6616872 6658806 6832364 7076377 7264152 7424967 7453488 7610064 7719684 8087288 8099964 8784468 8878408 9006298 9098199 9449958 9899956 9988209 10248546 10292912 10799952 11024951 11180232 11415096 11579526 11712624 12130932 12599944 13049942 13233744 13317612 13509447 13664728 14152754 14174937 14528304 14849934 15372819 15439368 16174576 16199928 17324923 17568936 17756816 18012596 18196398 18899916 19574913 19799912 19976418 20497092 21229131 22049902 22274901 22360464 22830192 23159052 24261864 25199888 26099884 26635224 27018894 27329456 28305508 28349874 29699868 30745638 30878736 32399856 33074853 34649846 35137872 36025192 36392796 37799832 39149826 39599824 39952836 40528341 40994184 42458262 44099804 44549802 45674797 46318104 48523728 49534639 51974769 52199768 53270448 54037788 56611016 56699748 58724739 59399736 61491276 63687393 66149706 69299692 71774681 72050384 72785592 75599664 78299652 79905672 81056682 81988368 84916524 88199608 89099604 91349594 92636208 99069278 99224559 103949538 104399536 108075576 113222032 113399496 117449478 118799472 121274461 122982552 127374786 132299412 137024391 138599384 143549362 145571184 148603917 155924307 156599304 159811344 162113364 169833048 176399216 178199208 182699188 198138556 198449118 207899076 215324043 216151152 226798992 234898956 242548922 245965104 254749572 264598824 274048782 277198768 287098724 297207834 311848614 313198608 319723579 324226728 339666096 356398416 363823383 365398376 396277112 396898236 411073173 415798152 430648086 445811751 469797912 485097844 502422767 509499144 529197648 548097564 574197448 594415668 623697228 639447158 645972129 648453456 727646766 730796752 792554224 793796472 822146346 831596304 861296172 891623502 939595824 959170737 970195688 1004845534 1018998288 1091470149 1096195128 1148394896 1188831336 1247394456 1278894316 1291944258 1455293532 1507268301 1587592944 1644292692 1722592344 1783247004 1918341474 1940391376 2009691068 2182940298 2192390256 2377662672 2494788912 2557788632 2583888516 2877512211 2910587064 3014536602 3288585384 3445184688 3516959369 3566494008 3836682948 4019382136 4365880596 4521804903 5115577264 5167777032 5755024422 5821174128 6029073204 6577170768 7033918738 7132988016 7673365896 8038764272 8731761192 9043609806 10335554064 10550878107 11510048844 12058146408 14067837476 15346731792 17463522384 18087219612 21101756214 23020097688 24116292816 28135674952 31652634321 36174439224 42203512428 46040195376 56271349904 63305268642 72348878448 84407024856 126610537284 168814049712 253221074568 506442149136
- Sum of all divisors σ(n): 1887444374400
- Sum of proper divisors (its aliquot sum) s(n): 1381002225264
- 506442149136 is an abundant number, because the sum of its proper divisors (1381002225264) is greater than itself. Its abundance is 874560076128
Bases of 506442149136
- Binary: 1110101111010100100110111101101000100002
- Hexadecimal: 0x75EA4DED10
- Base-36: 6GNMKV80
Squares and roots of 506442149136
- 506442149136 squared (5064421491362) is 256483650421490465546496
- 506442149136 cubed (5064421491363) is 129894131137706163611700596974227456
-
The
square root of 506442149136 is 711647.4893765873 -
The
cube root of 506442149136 is 7970.9474816983
Scales and comparisons
How big is 506442149136?- 506,442,149,136 seconds is equal to 16,103 years, 15 weeks, 1 day, 22 hours, 45 minutes, 36 seconds.
-
To count from 1 to 506,442,149,136 would take you about thirty-two thousand, two hundred 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 506442149136 cubic inches would be around 664.2 feet tall.
Recreational maths with 506442149136
- 506442149136 backwards is 631941244605
- The number of decimal digits it has is: 12
- The sum of 506442149136'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 506442149136 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
APA style:
Numbermatics. (2024). Number 506442149136 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/506442149136/
Chicago style:
Numbermatics. 2024. "Number 506442149136 - Facts about the integer". https://numbermatics.com/n/506442149136/
The information we have on file for 506442149136 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 506442149136, math, Factors of 506442149136, curriculum, school, college, exams, university, Prime factorization of 506442149136, STEM, science, technology, engineering, physics, economics, calculator, five hundred six billion, four hundred forty-two million, one hundred forty-nine thousand, one hundred thirty-six.