48288393492768
48,288,393,492,768 is an even composite number composed of eight prime numbers multiplied together.
What does the number 48288393492768 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1152 divisors.
48288393492768 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 48288393492768:
25 × 32 × 11 × 13 × 29 × 71 × 521 × 1093
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 13 × 29 × 71 × 521 × 1093)See below for interesting mathematical facts about the number 48288393492768 from the Numbermatics database.
Names of 48288393492768
- Cardinal: 48288393492768 can be written as Forty-eight trillion, two hundred eighty-eight billion, three hundred ninety-three million, four hundred ninety-two thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 4.8288393492768 × 1013
Factors of 48288393492768
Divisors of 48288393492768
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 29 32 33 36 39 44 48 52 58 66 71 72 78 87 88 96 99 104 116 117 132 142 143 144 156 174 176 198 208 213 232 234 261 264 284 286 288 312 319 348 352 377 396 416 426 429 464 468 521 522 528 568 572 624 638 639 696 754 781 792 852 858 923 928 936 957 1042 1044 1056 1093 1131 1136 1144 1248 1276 1278 1287 1392 1508 1562 1563 1584 1704 1716 1846 1872 1914 2059 2084 2088 2186 2262 2272 2288 2343 2552 2556 2574 2769 2784 2871 3016 3124 3126 3168 3279 3393 3408 3432 3692 3744 3828 4118 4147 4168 4176 4372 4524 4576 4686 4689 5104 5112 5148 5538 5731 5742 6032 6177 6248 6252 6558 6773 6786 6816 6864 7029 7384 7656 8236 8294 8307 8336 8352 8744 9048 9372 9378 9837 10153 10208 10224 10296 11076 11462 11484 12023 12064 12354 12441 12496 12504 13116 13546 13572 13728 14058 14209 14768 15109 15312 16472 16588 16614 16672 17193 17488 18096 18531 18744 18756 19674 20306 20319 20448 20592 22152 22649 22924 22968 24046 24708 24882 24992 25008 26232 26767 27092 27144 28116 28418 29536 30218 30459 30624 31697 32944 33176 33228 34386 34976 36069 36192 36991 37062 37323 37488 37512 39348 40612 40638 41184 42627 44304 45298 45327 45848 45936 48092 49416 49764 50016 51579 52464 53534 54184 54288 56232 56836 60436 60918 60957 63394 65888 66352 66456 67947 68772 72138 73982 74124 74503 74646 74976 75024 77603 78696 80301 81224 81276 85254 88608 90596 90654 91377 91696 91872 95091 96184 98832 99528 103158 104928 107068 108207 108368 108576 110973 112464 113672 120872 121836 121914 126788 127881 132704 132912 135894 135981 137544 144276 147964 148248 149006 149292 150048 155206 156299 157392 160602 162448 162552 166199 170508 181192 181308 182754 183392 190182 192368 196417 197664 199056 203841 206316 214136 216414 216736 221946 223509 224928 227344 232809 240903 241744 243672 243828 253576 255762 265824 271788 271962 275088 285273 288552 294437 295928 296496 298012 298584 310412 312598 314784 321204 324896 325104 332398 332919 341016 348667 362384 362616 365508 380364 384736 392834 398112 406901 407682 412061 412632 428272 432828 443892 447018 454688 465618 468897 480883 481806 483488 487344 487656 498597 507152 511524 543576 543924 550176 569453 570546 577104 588874 589251 591856 592992 596024 597168 620824 625196 642408 650208 664796 665838 670527 682032 697334 698427 724768 725232 731016 760728 785668 813802 815364 824122 825264 853633 856544 865656 883311 887784 894036 931236 937794 961766 963612 974688 975312 997194 1008839 1014304 1023048 1046001 1072739 1087152 1087848 1138906 1141092 1154208 1177748 1178502 1183712 1192048 1194336 1220703 1236183 1241648 1250392 1284816 1329592 1331676 1341054 1364064 1394668 1396854 1406691 1442649 1450464 1462032 1495791 1521456 1571336 1627604 1630728 1648244 1650528 1707266 1708359 1731312 1766622 1767753 1775568 1788072 1862472 1875588 1923532 1927224 1950624 1994388 2017678 2046096 2092002 2145478 2160587 2174304 2175696 2250487 2277812 2282184 2355496 2357004 2384096 2441406 2472366 2483296 2500784 2560899 2569632 2649933 2659184 2663352 2682108 2789336 2793708 2813382 2885298 2924064 2991582 3026517 3042912 3138003 3142672 3218217 3255208 3261456 3296488 3414532 3416718 3462624 3533244 3535506 3551136 3576144 3662109 3708549 3724944 3751176 3847064 3854448 3988776 4035356 4092192 4184004 4290956 4321174 4327947 4351392 4500974 4532671 4555624 4564368 4710992 4714008 4882812 4944732 5001568 5121798 5125077 5289713 5299866 5318368 5326704 5364216 5578672 5587416 5626764 5770596 5983164 6053034 6263983 6276006 6285344 6436434 6481761 6510416 6522912 6592976 6751461 6829064 6833436 7066488 7071012 7152288 7324218 7402889 7417098 7449888 7502352 7682697 7694128 7708896 7977552 8070712 8368008 8581912 8642348 8655894 9001948 9065342 9079551 9111248 9128736 9421984 9428016 9654651 9765624 9889464 10243596 10250154 10579426 10599732 10653408 10728432 11097229 11157344 11174832 11253528 11541192 11800129 11966328 12106068 12527966 12552012 12872868 12963522 13020832 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11644174944 11726176176 12614522856 12897540997 13079196504 14070044724 14169129546 14231769376 14726560992 15242548451 15447342768 15457232232 16010740548 16819363808 17344968927 17438928672 18760059632 18892172728 18921784284 20609642976 21105067086 21253694319 21347654064 22089841488 23126625236 23171014152 23452352352 25229045712 25795081994 26158393008 28140089448 28338259092 30485096902 30894685536 30914464464 32021481096 34689937854 37520119264 37784345456 37843568568 38692622991 42210134172 42507388638 42695308128 44179682976 45727645353 46253250472 46342028304 50458091424 51590163988 52034906781 52316786016 56280178896 56676518184 60970193804 61828928928 64042962192 69379875708 75568690912 75687137136 77385245982 84420268344 85014777276 91455290706 92506500944 92684056608 103180327976 104069813562 112560357792 113353036368 116077868973 121940387608 128085924384 137182936059 138759751416 151374274272 154770491964 167668032961 168840536688 170029554552 182910581412 185013001888 206360655952 208139627124 226706072736 232155737946 243880775216 274365872118 277519502832 309540983928 335336065922 337681073376 340059109104 365821162824 412721311904 416279254248 464311475892 487761550432 503004098883 548731744236 555039005664 619081967856 670672131844 680118218208 731642325648 832558508496 928622951784 1006008197766 1097463488472 1238163935712 1341344263688 1463284651296 1509012296649 1665117016992 1857245903568 2012016395532 2194926976944 2682688527376 3018024593298 3714491807136 4024032791064 4389853953888 5365377054752 6036049186596 8048065582128 12072098373192 16096131164256 24144196746384 48288393492768
- Sum of all divisors σ(n): 169720678632960
- Sum of proper divisors (its aliquot sum) s(n): 121432285140192
- 48288393492768 is an abundant number, because the sum of its proper divisors (121432285140192) is greater than itself. Its abundance is 73143891647424
Bases of 48288393492768
- Binary: 10101111101011000001001000101001111001001000002
- Hexadecimal: 0x2BEB048A7920
- Base-36: H47DQPS80
Squares and roots of 48288393492768
- 48288393492768 squared (482883934927682) is 2331768946112398926468301824
- 48288393492768 cubed (482883934927683) is 112597376404092461571994054717860985208832
-
The
square root of 48288393492768 is 6948985.0692578121 -
The
cube root of 48288393492768 is 36415.0507066787
Scales and comparisons
How big is 48288393492768?- 48,288,393,492,768 seconds is equal to 1,535,421 years, 28 weeks, 3 days, 4 hours, 52 minutes, 48 seconds.
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To count from 1 to 48,288,393,492,768 would take you about three million, eight hundred thirty-eight thousand, five hundred fifty-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 48288393492768 cubic inches would be around 3034.6 feet tall.
Recreational maths with 48288393492768
- 48288393492768 backwards is 86729439388284
- The number of decimal digits it has is: 14
- The sum of 48288393492768's digits is 81
- More coming soon!
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The information we have on file for 48288393492768 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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