48120840142848
48,120,840,142,848 is an even composite number composed of six prime numbers multiplied together.
What does the number 48120840142848 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1680 divisors.
48120840142848 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 48120840142848:
214 × 36 × 11 × 19 × 37 × 521
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 19 × 37 × 521)See below for interesting mathematical facts about the number 48120840142848 from the Numbermatics database.
Names of 48120840142848
- Cardinal: 48120840142848 can be written as Forty-eight trillion, one hundred twenty billion, eight hundred forty million, one hundred forty-two thousand, eight hundred forty-eight.
Scientific notation
- Scientific notation: 4.8120840142848 × 1013
Factors of 48120840142848
Divisors of 48120840142848
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 19 22 24 27 32 33 36 37 38 44 48 54 57 64 66 72 74 76 81 88 96 99 108 111 114 128 132 144 148 152 162 171 176 192 198 209 216 222 228 243 256 264 288 296 297 304 324 333 342 352 384 396 407 418 432 444 456 486 512 513 521 528 576 592 594 608 627 648 666 684 703 704 729 768 792 814 836 864 888 891 912 972 999 1024 1026 1042 1056 1152 1184 1188 1216 1221 1254 1296 1332 1368 1406 1408 1458 1536 1539 1563 1584 1628 1672 1728 1776 1782 1824 1881 1944 1998 2048 2052 2084 2109 2112 2304 2368 2376 2432 2442 2508 2592 2664 2673 2736 2812 2816 2916 2997 3072 3078 3126 3168 3256 3344 3456 3552 3564 3648 3663 3762 3888 3996 4096 4104 4168 4218 4224 4608 4617 4689 4736 4752 4864 4884 5016 5184 5328 5346 5472 5624 5632 5643 5731 5832 5994 6144 6156 6252 6327 6336 6512 6688 6912 7104 7128 7296 7326 7524 7733 7776 7992 8019 8192 8208 8336 8436 8448 8991 9216 9234 9378 9472 9504 9728 9768 9899 10032 10368 10656 10692 10944 10989 11248 11264 11286 11462 11664 11988 12288 12312 12504 12654 12672 13024 13376 13824 13851 14067 14208 14256 14592 14652 15048 15466 15552 15984 16038 16384 16416 16672 16872 16896 16929 17193 17982 18432 18468 18756 18944 18981 19008 19277 19456 19536 19798 20064 20736 21312 21384 21888 21978 22496 22528 22572 22924 23199 23328 23976 24576 24624 25008 25308 25344 26048 26752 26973 27648 27702 28134 28416 28512 29184 29304 29697 30096 30932 31104 31968 32076 32832 32967 33344 33744 33792 33858 34386 35964 36864 36936 37512 37888 37962 38016 38554 38912 39072 39596 40128 41472 42201 42624 42768 43776 43956 44992 45056 45144 45848 46398 46656 47952 49152 49248 50016 50616 50688 50787 51579 52096 53504 53946 55296 55404 56268 56832 56943 57024 57831 58368 58608 59394 60192 61864 62208 63936 64152 65664 65934 66688 67488 67584 67716 68772 69597 71928 73728 73872 75024 75776 75924 76032 77108 77824 78144 79192 80256 82944 84402 85248 85536 87552 87912 89091 89984 90112 90288 91696 92796 93312 95904 98496 98901 100032 101232 101376 101574 103158 104192 107008 107892 108889 110592 110808 112536 113664 113886 114048 115662 116736 117216 118788 120384 123728 124416 126603 127872 128304 131328 131868 133376 134976 135168 135432 137544 139194 143856 147456 147744 150048 151552 151848 152064 152361 154216 154737 155648 156288 158384 160512 165888 168804 170496 170829 171072 173493 175104 175824 178182 179968 180224 180576 183392 185592 186624 191808 196992 197802 200064 202464 202752 203148 206316 208384 208791 212047 214016 215784 217778 221184 221616 225072 227328 227772 228096 231324 233472 234432 237576 240768 247456 248832 253206 255744 256608 262656 263736 266752 267273 269952 270336 270864 275088 278388 287712 295488 296703 300096 303104 303696 304128 304722 308432 309474 311296 312576 316768 321024 326667 331776 337608 340992 341658 342144 346986 350208 351648 356364 359936 361152 366263 366784 371184 373248 379809 383616 393984 395604 400128 404928 405504 406296 412632 416768 417582 424094 428032 431568 435556 442368 443232 450144 454656 455544 456192 462648 464211 466944 468864 475152 481536 494912 497664 506412 511488 512487 513216 520479 525312 527472 533504 534546 539904 540672 541728 550176 556776 575424 590976 593406 600192 606208 607392 608256 609444 616864 618948 625152 626373 633536 636141 642048 653334 663552 675216 681984 683316 684288 693972 700416 703296 712728 719872 722304 732526 733568 742368 746496 759618 767232 787968 791208 800256 801819 809856 811008 812592 825264 833536 835164 848188 856064 863136 871112 886464 900288 909312 911088 912384 925296 928422 933888 937728 950304 963072 980001 989824 995328 1012824 1022976 1024974 1026432 1040958 1050624 1054944 1067008 1069092 1079808 1083456 1098789 1100352 1113552 1150848 1181952 1186812 1200384 1214784 1216512 1218888 1233728 1237896 1250304 1252746 1267072 1272282 1284096 1306668 1327104 1350432 1363968 1366632 1368576 1387944 1392633 1400832 1406592 1425456 1439744 1444608 1465052 1467136 1484736 1492992 1519236 1534464 1561437 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76747751424 79146118656 81011515392 81285202944 83543125248 91137954816 92362457088 93802807296 93986015904 99014074368 105528158208 108380270592 111390833664 115121627136 118233022464 121517273088 125314687872 136706932224 140704210944 144507027456 148521111552 158292237312 162023030784 162570405888 167086250496 182275909632 187972031808 198028148736 211056316416 216760541184 222781667328 230243254272 243034546176 250629375744 273413864448 281408421888 297042223104 316584474624 325140811776 334172500992 364551819264 375944063616 422112632832 433521082368 445563334656 486069092352 501258751488 546827728896 594084446208 633168949248 650281623552 668345001984 729103638528 751888127232 844225265664 891126669312 1002517502976 1093655457792 1266337898496 1300563247104 1336690003968 1458207277056 1503776254464 1782253338624 2005035005952 2187310915584 2532675796992 2673380007936 3007552508928 4010070011904 4374621831168 5346760015872 6015105017856 8020140023808 12030210035712 16040280047616 24060420071424 48120840142848
- Sum of all divisors σ(n): 170499136731840
- Sum of proper divisors (its aliquot sum) s(n): 122378296588992
- 48120840142848 is an abundant number, because the sum of its proper divisors (122378296588992) is greater than itself. Its abundance is 74257456446144
Bases of 48120840142848
- Binary: 10101111000100000000011001010101000000000000002
- Hexadecimal: 0x2BC401954000
- Base-36: H22EPS000
Squares and roots of 48120840142848
- 48120840142848 squared (481208401428482) is 2315615256053531525045551104
- 48120840142848 cubed (481208401428483) is 111429351568892030048407828677114244104192
-
The
square root of 48120840142848 is 6936918.6345846669 -
The
cube root of 48120840142848 is 36372.8836766325
Scales and comparisons
How big is 48120840142848?- 48,120,840,142,848 seconds is equal to 1,530,093 years, 45 weeks, 1 day, 7 hours, 40 minutes, 48 seconds.
-
To count from 1 to 48,120,840,142,848 would take you about three million, eight hundred twenty-five thousand, two hundred thirty-four 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 48120840142848 cubic inches would be around 3031.1 feet tall.
Recreational maths with 48120840142848
- 48120840142848 backwards is 84824104802184
- 48120840142848 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 48120840142848's digits is 54
- More coming soon!
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"Number 48120840142848 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 48120840142848 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/48120840142848/
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The information we have on file for 48120840142848 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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