642918403072
642,918,403,072 is an even composite number composed of five prime numbers multiplied together.
642918403072 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred forty divisors.
Prime factorization of 642918403072:
210 × 114 × 19 × 37 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 11 × 11 × 11 × 11 × 19 × 37 × 61)See below for interesting mathematical facts about the number 642918403072 from the Numbermatics database.
Names of 642918403072
- Cardinal: 642918403072 can be written as Six hundred forty-two billion, nine hundred eighteen million, four hundred three thousand and seventy-two.
Scientific notation
- Scientific notation: 6.42918403072 × 1011
Factors of 642918403072
Divisors of 642918403072
- Number of divisors d(n): 440
-
Complete list of divisors:
1 2 4 8 11 16 19 22 32 37 38 44 61 64 74 76 88 121 122 128 148 152 176 209 242 244 256 296 304 352 407 418 484 488 512 592 608 671 703 704 814 836 968 976 1024 1159 1184 1216 1331 1342 1406 1408 1628 1672 1936 1952 2257 2299 2318 2368 2432 2662 2684 2812 2816 3256 3344 3872 3904 4477 4514 4598 4636 4736 4864 5324 5368 5624 5632 6512 6688 7381 7733 7744 7808 8954 9028 9196 9272 9472 9728 10648 10736 11248 11264 12749 13024 13376 14641 14762 15466 15488 15616 17908 18056 18392 18544 18944 19456 21296 21472 22496 24827 25289 25498 26048 26752 29282 29524 30932 30976 31232 35816 36112 36784 37088 37888 42592 42883 42944 44992 49247 49654 50578 50996 52096 53504 58564 59048 61864 61952 62464 71632 72224 73568 74176 81191 85063 85184 85766 85888 89984 98494 99308 101156 101992 104192 107008 117128 118096 123728 123904 140239 143264 144448 147136 148352 162382 170126 170368 171532 171776 179968 196988 198616 202312 203984 208384 214016 234256 236192 247456 273097 278179 280478 286528 288896 294272 296704 324764 340252 340736 343064 343552 359936 393976 397232 404624 407968 416768 468512 471713 472384 494912 541717 546194 556358 560956 573056 577792 588544 593408 649528 680504 681472 686128 687104 719872 787952 794464 809248 815936 893101 935693 937024 943426 944768 989824 1083434 1092388 1112716 1121912 1146112 1155584 1177088 1186816 1299056 1361008 1362944 1372256 1542629 1575904 1588928 1618496 1631872 1786202 1871386 1874048 1886852 1889536 1979648 2166868 2184776 2225432 2243824 2292224 2311168 2354176 2598112 2722016 2744512 3004067 3085258 3151808 3177856 3236992 3263744 3572404 3742772 3748096 3773704 3779072 3959296 4333736 4369552 4450864 4487648 4584448 5188843 5196224 5444032 5489024 6008134 6170516 6303616 6355712 6473984 6527488 7144808 7485544 7496192 7547408 7558144 7918592 8667472 8739104 8901728 8975296 10292623 10377686 10392448 10888064 10978048 12016268 12341032 12607232 12711424 12947968 13054976 14289616 14971088 14992384 15094816 16968919 17334944 17478208 17803456 17950592 20585246 20755372 20784896 21776128 21956096 24032536 24682064 25214464 25422848 25895936 28579232 29942176 30189632 33044737 33937838 34669888 34956416 35606912 35901184 41170492 41510744 41569792 43552256 43912192 48065072 49364128 50428928 57077273 57158464 59884352 60379264 66089474 67875676 69339776 69912832 71213824 71802368 82340984 83021488 83139584 87104512 96130144 98728256 114154546 114316928 119768704 120758528 132178948 135751352 138679552 139825664 142427648 143604736 164681968 166042976 192260288 197456512 228309092 228633856 239537408 241517056 264357896 271502704 277359104 279651328 284855296 329363936 332085952 384520576 394913024 456618184 457267712 479074816 483034112 528715792 543005408 554718208 627850003 658727872 664171904 769041152 789826048 913236368 914535424 958149632 1057431584 1086010816 1255700006 1317455744 1328343808 1538082304 1579652096 1826472736 2114863168 2172021632 2511400012 2634911488 2656687616 3076164608 3652945472 4229726336 4344043264 5022800024 5269822976 5313375232 7305890944 8459452672 8688086528 10045600048 10539645952 14611781888 16918905344 17376173056 20091200096 29223563776 33837810688 40182400192 58447127552 80364800384 160729600768 321459201536 642918403072
- Sum of all divisors σ(n): 1553401977200
- Sum of proper divisors (its aliquot sum) s(n): 910483574128
- 642918403072 is an abundant number, because the sum of its proper divisors (910483574128) is greater than itself. Its abundance is 267565171056
Bases of 642918403072
- Binary: 10010101101100001110110001001100000000002
- Hexadecimal: 0x95B0EC4C00
- Base-36: 87CP0MPS
Squares and roots of 642918403072
- 642918403072 squared (6429184030722) is 413344073008650659037184
- 642918403072 cubed (6429184030723) is 265746511337997860149706702347829248
-
The
square root of 642918403072 is 801821.9272831095 -
The
cube root of 642918403072 is 8630.8178766529
Scales and comparisons
How big is 642918403072?- 642,918,403,072 seconds is equal to 20,442 years, 42 weeks, 3 days, 5 hours, 17 minutes, 52 seconds.
-
To count from 1 to 642,918,403,072 would take you about forty thousand, eight hundred eighty-five 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 642918403072 cubic inches would be around 719.2 feet tall.
Recreational maths with 642918403072
- 642918403072 backwards is 270304819246
- The number of decimal digits it has is: 12
- The sum of 642918403072's digits is 46
- More coming soon!
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