513993374496
513,993,374,496 is an even composite number composed of five prime numbers multiplied together.
513993374496 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 513993374496:
25 × 35 × 72 × 97 × 13907
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 97 × 13907)See below for interesting mathematical facts about the number 513993374496 from the Numbermatics database.
Names of 513993374496
- Cardinal: 513993374496 can be written as Five hundred thirteen billion, nine hundred ninety-three million, three hundred seventy-four thousand, four hundred ninety-six.
Scientific notation
- Scientific notation: 5.13993374496 × 1011
Factors of 513993374496
Divisors of 513993374496
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 81 84 96 97 98 108 112 126 144 147 162 168 189 194 196 216 224 243 252 288 291 294 324 336 378 388 392 432 441 486 504 567 582 588 648 672 679 756 776 784 864 873 882 972 1008 1134 1164 1176 1296 1323 1358 1512 1552 1568 1701 1746 1764 1944 2016 2037 2268 2328 2352 2592 2619 2646 2716 3024 3104 3402 3492 3528 3888 3969 4074 4536 4656 4704 4753 5238 5292 5432 6048 6111 6804 6984 7056 7776 7857 7938 8148 9072 9312 9506 10476 10584 10864 11907 12222 13608 13907 13968 14112 14259 15714 15876 16296 18144 18333 19012 20952 21168 21728 23571 23814 24444 27216 27814 27936 28518 31428 31752 32592 36666 38024 41721 41904 42336 42777 47142 47628 48888 54432 54999 55628 57036 62856 63504 65184 73332 76048 83442 83808 85554 94284 95256 97349 97776 109998 111256 114072 125163 125712 127008 128331 146664 152096 164997 166884 171108 188568 190512 194698 195552 219996 222512 228144 250326 251424 256662 292047 293328 329994 333768 342216 375489 377136 381024 384993 389396 439992 445024 456288 500652 513324 584094 586656 659988 667536 681443 684432 750978 754272 769986 778792 876141 879984 1001304 1026648 1126467 1154979 1168188 1319976 1335072 1348979 1362886 1368864 1501956 1539972 1557584 1752282 1759968 2002608 2044329 2053296 2252934 2309958 2336376 2628423 2639952 2697958 2725772 3003912 3079944 3115168 3379401 3504564 4005216 4046937 4088658 4106592 4505868 4619916 4672752 5256846 5279904 5395916 5451544 6007824 6132987 6159888 6758802 7009128 7885269 8093874 8177316 9011736 9239832 9345504 9442853 10513692 10791832 10903088 12015648 12140811 12265974 12319776 13517604 14018256 15770538 16187748 16354632 18023472 18398961 18479664 18885706 21027384 21583664 21806176 23655807 24281622 24531948 27035208 28036512 28328559 31541076 32375496 32709264 36046944 36422433 36797922 36959328 37771412 42054768 43167328 47311614 48563244 49063896 54070416 55196883 56657118 63082152 64750992 65418528 66099971 72844866 73595844 75542824 84109536 84985677 94623228 97126488 98127792 108140832 109267299 110393766 113314236 126164304 129501984 132199942 145689732 147191688 151085648 165590649 169971354 189246456 194252976 196255584 198299913 218534598 220787532 226628472 252328608 254957031 264399884 291379464 294383376 302171296 327801897 331181298 339942708 378492912 388505952 396599826 437069196 441575064 453256944 509914062 528799768 582758928 588766752 594899739 655603794 662362596 679885416 756985824 764871093 793199652 874138392 883150128 906513888 1019828124 1057599536 1165517856 1189799478 1311207588 1324725192 1359770832 1529742186 1586399304 1748276784 1766300256 1784699217 2039656248 2115199072 2294613279 2379598956 2622415176 2649450384 2719541664 3059484372 3172798608 3496553568 3569398434 4079312496 4589226558 4759197912 5244830352 5298900768 5354097651 6118968744 6345597216 7138796868 8158624992 9178453116 9518395824 10489660704 10708195302 12237937488 14277593736 16062292953 18356906232 19036791648 21416390604 24475874976 28555187472 32124585906 36713812464 42832781208 57110374944 64249171812 73427624928 85665562416 128498343624 171331124832 256996687248 513993374496
- Sum of all divisors σ(n): 1781589098016
- Sum of proper divisors (its aliquot sum) s(n): 1267595723520
- 513993374496 is an abundant number, because the sum of its proper divisors (1267595723520) is greater than itself. Its abundance is 753602349024
Bases of 513993374496
- Binary: 1110111101011000110010001111011001000002
- Hexadecimal: 0x77AC647B20
- Base-36: 6K4IDU00
Squares and roots of 513993374496
- 513993374496 squared (5139933744962) is 264189189025785303254016
- 513993374496 cubed (5139933744963) is 135791492772724998775934373303975936
-
The
square root of 513993374496 is 716933.3124468411 -
The
cube root of 513993374496 is 8010.3687142479
Scales and comparisons
How big is 513993374496?- 513,993,374,496 seconds is equal to 16,343 years, 20 weeks, 5 days, 9 hours, 21 minutes, 36 seconds.
-
To count from 1 to 513,993,374,496 would take you about thirty-two thousand, six hundred eighty-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 513993374496 cubic inches would be around 667.5 feet tall.
Recreational maths with 513993374496
- 513993374496 backwards is 694473399315
- 513993374496 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 513993374496's digits is 63
- More coming soon!
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