513213116416
513,213,116,416 is an even composite number composed of seven prime numbers multiplied together.
513213116416 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred thirty-two divisors.
Prime factorization of 513213116416:
212 × 7 × 11 × 13 × 17 × 37 × 199
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 13 × 17 × 37 × 199)See below for interesting mathematical facts about the number 513213116416 from the Numbermatics database.
Names of 513213116416
- Cardinal: 513213116416 can be written as Five hundred thirteen billion, two hundred thirteen million, one hundred sixteen thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 5.13213116416 × 1011
Factors of 513213116416
Divisors of 513213116416
- Number of divisors d(n): 832
-
Complete list of divisors:
1 2 4 7 8 11 13 14 16 17 22 26 28 32 34 37 44 52 56 64 68 74 77 88 91 104 112 119 128 136 143 148 154 176 182 187 199 208 221 224 238 256 259 272 286 296 308 352 364 374 398 407 416 442 448 476 481 512 518 544 572 592 616 629 704 728 748 796 814 832 884 896 952 962 1001 1024 1036 1088 1144 1184 1232 1258 1309 1393 1408 1456 1496 1547 1592 1628 1664 1768 1792 1904 1924 2002 2048 2072 2176 2189 2288 2368 2431 2464 2516 2587 2618 2786 2816 2849 2912 2992 3094 3184 3256 3328 3367 3383 3536 3584 3808 3848 4004 4096 4144 4352 4378 4403 4576 4736 4862 4928 5032 5174 5236 5291 5572 5632 5698 5824 5984 6188 6368 6512 6656 6734 6766 6919 7072 7168 7363 7616 7696 8008 8177 8288 8704 8756 8806 9152 9472 9724 9856 10064 10348 10472 10582 11144 11264 11396 11648 11968 12376 12736 13024 13312 13468 13532 13838 14144 14336 14726 15232 15323 15392 16016 16354 16576 17017 17408 17512 17612 18109 18304 18944 19448 19712 20128 20696 20944 21164 22288 22528 22792 23296 23681 23936 24752 25472 26048 26624 26936 27064 27676 28288 28457 28672 29452 30464 30646 30784 32032 32708 33152 34034 34816 35024 35224 36218 36608 37037 37213 37888 38896 39424 40256 41392 41888 42328 43979 44576 45056 45584 46592 47362 47872 48433 49504 50944 51541 52096 53248 53872 54128 55352 56576 56914 57239 58904 60928 61292 61568 64064 65416 66304 68068 69632 70048 70448 72436 73216 74074 74426 75776 77792 78848 80512 80993 82784 83776 84656 87958 89152 89947 91168 93184 94724 95719 95744 96866 99008 101888 103082 104192 107744 108256 110704 113152 113828 114478 117808 121856 122584 123136 125171 128128 130832 132608 136136 140096 140896 144872 146432 148148 148852 151552 155584 157696 161024 161986 165568 167552 169312 175916 178304 179894 182336 186368 189448 191438 191488 193732 198016 199199 203776 206164 208384 215488 216512 221408 226304 227656 228956 235616 243712 245168 246272 250342 256256 260491 261664 265216 272272 280192 281792 289744 292864 296296 297704 307853 311168 315392 322048 323972 331136 335104 338624 351832 356608 359788 364672 372736 378896 382876 382976 387464 396032 398398 407552 412328 416768 430976 433024 442816 452608 455312 457912 471232 483769 487424 490336 492544 500684 512512 520982 523328 530432 544544 560384 563584 566951 579488 585728 592592 595408 615706 622336 629629 644096 647944 662272 670033 670208 677248 703664 713216 719576 729344 757792 765752 765952 774928 792064 796796 815104 824656 833536 861952 866048 876197 885632 905216 910624 915824 942464 967538 980672 985088 1001368 1025024 1041964 1046656 1052909 1060864 1089088 1120768 1127168 1133902 1158976 1185184 1190816 1231412 1244672 1259258 1288192 1295888 1324544 1340066 1340416 1354496 1376881 1407328 1426432 1439152 1458688 1515584 1531504 1549856 1584128 1593592 1627223 1649312 1667072 1723904 1732096 1752394 1771264 1821248 1831648 1884928 1935076 1961344 1970176 2002736 2050048 2083928 2093312 2105818 2178176 2241536 2254336 2267804 2317952 2370368 2381632 2462824 2489344 2518516 2576384 2591776 2649088 2680132 2680832 2708992 2753762 2814656 2852864 2878304 2917376 3031168 3063008 3099712 3168256 3187184 3254446 3298624 3386383 3447808 3464192 3504788 3542528 3642496 3663296 3769856 3870152 3922688 4005472 4100096 4167856 4186624 4211636 4356352 4483072 4508672 4535608 4635904 4740736 4763264 4925648 4978688 5037032 5183552 5298176 5360264 5361664 5417984 5507524 5629312 5705728 5756608 5834752 6062336 6126016 6199424 6336512 6374368 6508892 6597248 6772766 6895616 6928384 7009576 7085056 7284992 7326592 7370363 7539712 7740304 7845376 8010944 8335712 8373248 8423272 8712704 8966144 9017344 9071216 9271808 9481472 9526528 9638167 9851296 9957376 10074064 10367104 10596352 10720528 10835968 11015048 11258624 11390561 11513216 11669504 12124672 12252032 12398848 12748736 13017784 13194496 13545532 13791232 13856768 14019152 14170112 14569984 14653184 14740726 15079424 15480608 15690752 16021888 16671424 16746496 16846544 17425408 17899453 18034688 18142432 18543616 18962944 19053056 19276334 19702592 20148128 20734208 21441056 21671936 22030096 22517248 22781122 23026432 24249344 24504064 24797696 25497472 26035568 26388992 27091064 28038304 28340224 29139968 29306368 29481452 30158848 30961216 31381504 32043776 33342848 33492992 33693088 34850816 35798906 36284864 37087232 37925888 38106112 38552668 39405184 40296256 41468416 42882112 44060192 45034496 45562244 46052864 48498688 49008128 49595392 50994944 52071136 52777984 54182128 56076608 58279936 58612736 58962904 61922432 62763008 64087552 66685696 67386176 69701632 71597812 72569728 74174464 75851776 76212224 77105336 78810368 80592512 82936832 85764224 88120384 90068992 91124488 92105728 96997376 98016256 99190784 101989888 104142272 105555968 108364256 112153216 116559872 117225472 117925808 123844864 125296171 128175104 133371392 134772352 143195624 145139456 151703552 152424448 154210672 157620736 161185024 165873664 171528448 176240768 180137984 182248976 184211456 196032512 198381568 203979776 208284544 211111936 216728512 224306432 234450944 235851616 247689728 250592342 256350208 266742784 269544704 286391248 290278912 308421344 315241472 322370048 331747328 343056896 352481536 364497952 368422912 392065024 407959552 416569088 433457024 448612864 471703232 495379456 501184684 512700416 533485568 539089408 572782496 580557824 616842688 630482944 644740096 686113792 704963072 728995904 815919104 833138176 866914048 897225728 943406464 990758912 1002369368 1066971136 1078178816 1145564992 1161115648 1233685376 1260965888 1289480192 1372227584 1409926144 1457991808 1666276352 1733828096 1794451456 1886812928 1981517824 2004738736 2156357632 2291129984 2322231296 2467370752 2578960384 2744455168 2819852288 2915983616 3332552704 3467656192 3588902912 3773625856 4009477472 4312715264 4582259968 4934741504 5639704576 5831967232 6665105408 6935312384 7547251712 8018954944 9164519936 9869483008 11663934464 13870624768 15094503424 16037909888 18329039872 19738966016 23327868928 30189006848 32075819776 36658079744 39477932032 46655737856 64151639552 73316159488 128303279104 256606558208 513213116416
- Sum of all divisors σ(n): 1505990707200
- Sum of proper divisors (its aliquot sum) s(n): 992777590784
- 513213116416 is an abundant number, because the sum of its proper divisors (992777590784) is greater than itself. Its abundance is 479564474368
Bases of 513213116416
- Binary: 1110111011111011110001010110000000000002
- Hexadecimal: 0x777DE2B000
- Base-36: 6JRLU70G
Squares and roots of 513213116416
- 513213116416 squared (5132131164162) is 263387702861422768685056
- 513213116416 cubed (5132131164163) is 135174023811162179700556684167479296
-
The
square root of 513213116416 is 716388.9421368815 -
The
cube root of 513213116416 is 8006.3133310873
Scales and comparisons
How big is 513213116416?- 513,213,116,416 seconds is equal to 16,318 years, 30 weeks, 4 days, 15 hours, 16 seconds.
-
To count from 1 to 513,213,116,416 would take you about thirty-two thousand, six hundred thirty-seven 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 513213116416 cubic inches would be around 667.2 feet tall.
Recreational maths with 513213116416
- 513213116416 backwards is 614611312315
- 513213116416 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 513213116416's digits is 34
- More coming soon!
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