3968380416
3,968,380,416 is an even composite number composed of seven prime numbers multiplied together.
3968380416 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 3968380416:
29 × 3 × 7 × 11 × 13 × 29 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 11 × 13 × 29 × 89)See below for interesting mathematical facts about the number 3968380416 from the Numbermatics database.
Names of 3968380416
- Cardinal: 3968380416 can be written as Three billion, nine hundred sixty-eight million, three hundred eighty thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 3.968380416 × 109
Factors of 3968380416
Divisors of 3968380416
- Number of divisors d(n): 640
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 29 32 33 39 42 44 48 52 56 58 64 66 77 78 84 87 88 89 91 96 104 112 116 128 132 143 154 156 168 174 176 178 182 192 203 208 224 231 232 256 264 267 273 286 308 312 319 336 348 352 356 364 377 384 406 416 429 448 462 464 512 528 534 546 572 609 616 623 624 638 672 696 704 712 728 754 768 812 832 858 896 924 928 957 979 1001 1056 1068 1092 1131 1144 1157 1218 1232 1246 1248 1276 1344 1392 1408 1424 1456 1508 1536 1624 1664 1716 1792 1848 1856 1869 1914 1958 2002 2112 2136 2184 2233 2262 2288 2314 2436 2464 2492 2496 2552 2581 2639 2688 2784 2816 2848 2912 2937 3003 3016 3248 3328 3432 3471 3584 3696 3712 3738 3828 3916 4004 4147 4224 4272 4368 4466 4524 4576 4628 4872 4928 4984 4992 5104 5162 5278 5376 5568 5632 5696 5824 5874 6006 6032 6496 6656 6699 6853 6864 6942 7392 7424 7476 7656 7743 7832 7917 8008 8099 8294 8448 8544 8736 8932 9048 9152 9256 9744 9856 9968 9984 10208 10324 10556 10752 11136 11392 11648 11748 12012 12064 12441 12727 12992 13398 13706 13728 13884 14784 14848 14952 15312 15486 15664 15834 16016 16198 16588 16896 17088 17472 17864 18067 18096 18304 18512 19488 19712 19936 19968 20416 20559 20648 21112 22272 22784 23296 23496 24024 24128 24297 24882 25454 25984 26796 27412 27456 27768 28391 29029 29568 29904 30624 30972 31328 31668 32032 32396 33176 33553 34176 34944 35728 36134 36192 36608 37024 38181 38976 39424 39872 40832 41118 41296 42224 44544 45568 46592 46992 48048 48256 48594 49764 50908 51968 53592 54201 54824 54912 55536 56782 58058 59136 59808 61248 61944 62656 63336 64064 64792 66352 67106 68352 69888 71456 72268 72384 73216 74048 76362 77952 79744 81664 82236 82592 84448 85173 87087 89089 93984 96096 96512 97188 99528 100659 101816 103936 107184 108402 109648 109824 111072 113564 116116 118272 119616 122496 123888 125312 126672 128128 129584 132704 134212 136704 139776 142912 144536 144768 148096 152724 155904 159488 163328 164472 165184 168896 170346 174174 178178 187968 192192 193024 194376 198737 199056 201318 203632 214368 216804 219296 219648 222144 227128 232232 234871 239232 244992 247776 250624 253344 256256 259168 265408 267267 268424 285824 289072 289536 296192 305448 311808 318976 328944 330368 337792 340692 348348 356356 369083 375936 384384 388752 397474 398112 402636 407264 428736 433608 438592 444288 454256 464464 469742 478464 489984 495552 501248 506688 512512 518336 530816 534534 536848 571648 578144 579072 592384 596211 610896 657888 660736 675584 681384 696696 704613 712712 738166 751872 768768 777504 794948 796224 805272 814528 857472 867216 877184 888576 908512 928928 939484 956928 991104 1013376 1036672 1061632 1069068 1073696 1107249 1143296 1156288 1192422 1221792 1315776 1321472 1351168 1362768 1393392 1409226 1425424 1476332 1503744 1537536 1555008 1589896 1592448 1610544 1629056 1714944 1734432 1754368 1777152 1817024 1857856 1878968 1982208 2026752 2073344 2123264 2138136 2147392 2214498 2312576 2384844 2443584 2583581 2631552 2725536 2786784 2818452 2850848 2952664 3110016 3179792 3184896 3221088 3258112 3429888 3468864 3508736 3634048 3715712 3757936 3964416 4053504 4146688 4276272 4294784 4428996 4625152 4769688 4887168 5167162 5263104 5451072 5573568 5636904 5701696 5905328 6220032 6359584 6369792 6442176 6516224 6937728 7268096 7431424 7515872 7750743 8552544 8589568 8857992 9250304 9539376 9774336 10334324 10526208 10902144 11147136 11273808 11403392 11810656 12440064 12719168 12884352 13875456 14536192 14862848 15031744 15501486 17105088 17179136 17715984 19078752 19548672 20668648 21804288 22294272 22547616 22806784 23621312 25438336 25768704 27750912 30063488 31002972 34210176 35431968 38157504 41337296 43608576 44588544 45095232 45613568 47242624 50876672 51537408 60126976 62005944 68420352 70863936 76315008 82674592 90190464 94485248 101753344 120253952 124011888 136840704 141727872 152630016 165349184 180380928 188970496 248023776 283455744 305260032 330698368 360761856 496047552 566911488 661396736 992095104 1322793472 1984190208 3968380416
- Sum of all divisors σ(n): 14849049600
- Sum of proper divisors (its aliquot sum) s(n): 10880669184
- 3968380416 is an abundant number, because the sum of its proper divisors (10880669184) is greater than itself. Its abundance is 6912288768
Bases of 3968380416
- Binary: 111011001000100010101110000000002
- Hexadecimal: 0xEC88AE00
- Base-36: 1TMO5XC
Squares and roots of 3968380416
- 3968380416 squared (39683804162) is 15748043126092333056
- 3968380416 cubed (39683804163) is 62494225931908233107179831296
-
The
square root of 3968380416 is 62995.0824747455 -
The
cube root of 3968380416 is 1583.2072351753
Scales and comparisons
How big is 3968380416?- 3,968,380,416 seconds is equal to 126 years, 9 weeks, 3 days, 7 hours, 53 minutes, 36 seconds.
-
To count from 1 to 3,968,380,416 would take you about two hundred fifty-two 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 3968380416 cubic inches would be around 131.9 feet tall.
Recreational maths with 3968380416
- 3968380416 backwards is 6140838693
- 3968380416 is a
Harshad number . - The number of decimal digits it has is: 10
- The sum of 3968380416's digits is 48
- More coming soon!
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