398163117680640
398,163,117,680,640 is an even composite number composed of five prime numbers multiplied together.
What does the number 398163117680640 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2112 divisors.
398163117680640 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 398163117680640:
211 × 310 × 5 × 13 × 373
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 13 × 37 × 37 × 37)See below for interesting mathematical facts about the number 398163117680640 from the Numbermatics database.
Names of 398163117680640
- Cardinal: 398163117680640 can be written as Three hundred ninety-eight trillion, one hundred sixty-three billion, one hundred seventeen million, six hundred eighty thousand, six hundred forty.
Scientific notation
- Scientific notation: 3.9816311768064 × 1014
Factors of 398163117680640
Divisors of 398163117680640
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 32 36 37 39 40 45 48 52 54 60 64 65 72 74 78 80 81 90 96 104 108 111 117 120 128 130 135 144 148 156 160 162 180 185 192 195 208 216 222 234 240 243 256 260 270 288 296 312 320 324 333 351 360 370 384 390 405 416 432 444 468 480 481 486 512 520 540 555 576 585 592 624 640 648 666 702 720 729 740 768 780 810 832 864 888 936 960 962 972 999 1024 1040 1053 1080 1110 1152 1170 1184 1215 1248 1280 1296 1332 1369 1404 1440 1443 1458 1480 1536 1560 1620 1664 1665 1728 1755 1776 1872 1920 1924 1944 1998 2048 2080 2106 2160 2187 2220 2304 2340 2368 2405 2430 2496 2560 2592 2664 2738 2808 2880 2886 2916 2960 2997 3072 3120 3159 3240 3328 3330 3456 3510 3552 3645 3744 3840 3848 3888 3996 4107 4160 4212 4320 4329 4374 4440 4608 4680 4736 4810 4860 4992 4995 5120 5184 5265 5328 5476 5616 5760 5772 5832 5920 5994 6144 6240 6318 6480 6561 6656 6660 6845 6912 7020 7104 7215 7290 7488 7680 7696 7776 7992 8214 8320 8424 8640 8658 8748 8880 8991 9216 9360 9472 9477 9620 9720 9984 9990 10240 10368 10530 10656 10935 10952 11232 11520 11544 11664 11840 11988 12321 12480 12636 12960 12987 13122 13312 13320 13690 13824 14040 14208 14430 14580 14976 14985 15360 15392 15552 15795 15984 16428 16640 16848 17280 17316 17496 17760 17797 17982 18432 18720 18944 18954 19240 19440 19683 19968 19980 20535 20736 21060 21312 21645 21870 21904 22464 23040 23088 23328 23680 23976 24642 24960 25272 25920 25974 26244 26624 26640 26973 27380 27648 28080 28416 28431 28860 29160 29952 29970 30720 30784 31104 31590 31968 32805 32856 33280 33696 34560 34632 34992 35520 35594 35964 36963 37440 37888 37908 38480 38880 38961 39366 39936 39960 41070 41472 42120 42624 43290 43740 43808 44928 44955 46080 46176 46656 47360 47385 47952 49284 49920 50544 50653 51840 51948 52488 53280 53391 53946 54760 55296 56160 56832 56862 57720 58320 59049 59904 59940 61568 61605 62208 63180 63936 64935 65610 65712 66560 67392 69120 69264 69984 71040 71188 71928 73926 74880 75776 75816 76960 77760 77922 78732 79872 79920 80919 82140 82944 84240 85248 85293 86580 87480 87616 88985 89856 89910 92160 92352 93312 94720 94770 95904 98415 98568 99840 101088 101306 103680 103896 104976 106560 106782 107892 109520 110889 112320 113664 113724 115440 116640 116883 118098 119808 119880 123136 123210 124416 126360 127872 129870 131220 131424 133120 134784 134865 138240 138528 139968 142080 142155 142376 143856 147852 149760 151632 151959 153920 155520 155844 157464 159840 160173 161838 164280 165888 168480 170496 170586 173160 174960 175232 177970 179712 179820 184704 184815 186624 189440 189540 191808 194805 196830 197136 199680 202176 202612 207360 207792 209952 213120 213564 215784 219040 221778 224640 227328 227448 230880 233280 233766 236196 239616 239760 242757 246272 246420 248832 252720 253265 255744 255879 259740 262440 262848 266955 269568 269730 276480 277056 279936 284160 284310 284752 287712 295245 295704 299520 303264 303918 307840 311040 311688 314928 319680 320346 323676 328560 332667 336960 340992 341172 346320 349920 350464 350649 355940 359424 359640 369408 369630 373248 378880 379080 383616 389610 393660 394272 399360 404352 404595 405224 414720 415584 419904 426240 426465 427128 431568 438080 443556 449280 454896 455877 461760 466560 467532 472392 479520 480519 485514 492544 492840 497664 505440 506530 511488 511758 519480 524880 525696 533910 539136 539460 554112 554445 559872 568320 568620 569504 575424 584415 590490 591408 599040 606528 607836 615680 622080 623376 629856 639360 640692 647352 657120 658489 665334 673920 681984 682344 692640 699840 700928 701298 711880 718848 719280 728271 738816 739260 746496 758160 759795 767232 767637 779220 787320 788544 800865 808704 809190 810448 829440 831168 839808 852480 852930 854256 863136 876160 887112 898560 909792 911754 923520 933120 935064 944784 959040 961038 971028 985088 985680 998001 1010880 1013060 1022976 1023516 1038960 1049760 1051392 1051947 1067820 1078272 1078920 1108224 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340310356992 345627706320 358705511424 368669553408 378122618880 382849151616 388831169610 398561679360 409632837120 413890974720 414753247584 425387946240 448381889280 460836941760 478561439520 491559404544 510465535488 518441559480 538058267136 546177116160 553004330112 567183928320 597842519040 614449255680 622129871376 638081919360 672572833920 680620713984 691255412640 717411022848 737339106816 765698303232 777662339220 819265674240 827781949440 829506495168 850775892480 896763778560 921673883520 957122879040 983118809088 1020931070976 1036883118960 1076116534272 1106008660224 1134367856640 1195685038080 1228898511360 1244259742752 1276163838720 1345145667840 1382510825280 1474678213632 1531396606464 1555324678440 1638531348480 1659012990336 1701551784960 1793527557120 1843347767040 1914245758080 2041862141952 2073766237920 2152233068544 2212017320448 2457797022720 2488519485504 2552327677440 2690291335680 2765021650560 2949356427264 3062793212928 3110649356880 3318025980672 3403103569920 3587055114240 3686695534080 3828491516160 4147532475840 4424034640896 4915594045440 4977038971008 5104655354880 5380582671360 5530043301120 6125586425856 6221298713760 6636051961344 7373391068160 7656983032320 8295064951680 8848069281792 9954077942016 10209310709760 10761165342720 11060086602240 12442597427520 13272103922688 14746782136320 15313966064640 16590129903360 19908155884032 22120173204480 24885194855040 26544207845376 30627932129280 33180259806720 39816311768064 44240346408960 49770389710080 66360519613440 79632623536128 99540779420160 132721039226880 199081558840320 398163117680640
- Sum of all divisors σ(n): 1586129748512400
- Sum of proper divisors (its aliquot sum) s(n): 1187966630831760
- 398163117680640 is an abundant number, because the sum of its proper divisors (1187966630831760) is greater than itself. Its abundance is 789803513151120
Bases of 398163117680640
- Binary: 10110101000100000100100110011000100101000000000002
- Hexadecimal: 0x16A2093312800
- Base-36: 3X4XM00000
Squares and roots of 398163117680640
- 398163117680640 squared (3981631176806402) is 158533868281167177373030809600
- 398163117680640 cubed (3981631176806403) is 63122339252801447847831446494549213446144000
-
The
square root of 398163117680640 is 19954025.0997296283 -
The
cube root of 398163117680640 is 73567.6713474671
Scales and comparisons
How big is 398163117680640?- 398,163,117,680,640 seconds is equal to 12,660,355 years, 28 weeks, 1 day, 14 hours, 24 minutes.
-
To count from 1 to 398,163,117,680,640 would take you about thirty-one million, six hundred fifty thousand, eight hundred eighty-eight 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 398163117680640 cubic inches would be around 6130.6 feet tall.
Recreational maths with 398163117680640
- 398163117680640 backwards is 046086711361893
- The number of decimal digits it has is: 15
- The sum of 398163117680640's digits is 63
- More coming soon!
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The information we have on file for 398163117680640 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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