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425614104216840 = 233571146062132491
BaseRepresentation
bin110000011000110000000000…
…1011111100100010100001000
32001210222022101201021020220110
41200301200001133210110020
5421241230141134414330
64105112230434154320
7155435414161310220
oct14061400137442410
92053868351236813
10425614104216840
11113682a23103640
123b89aa464229a0
1315364312621086
147715b92777080
1534312ed8c0db0
hex18318017e4508

425614104216840 has 128 divisors (see below), whose sum is σ = 1591907298923520. Its totient is φ = 88439294380800.

The previous prime is 425614104216767. The next prime is 425614104216853. The reversal of 425614104216840 is 48612401416524.

It is a happy number.

It is a super-2 number, since 2×4256141042168402 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 425614104216840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23031057006 + ... + 23031075485.

It is an arithmetic number, because the mean of its divisors is an integer number (12436775772840).

Almost surely, 2425614104216840 is an apocalyptic number.

425614104216840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

425614104216840 is an abundant number, since it is smaller than the sum of its proper divisors (1166293194706680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

425614104216840 is a wasteful number, since it uses less digits than its factorization.

425614104216840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46062132523 (or 46062132519 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 425614104216840 in words is "four hundred twenty-five trillion, six hundred fourteen billion, one hundred four million, two hundred sixteen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 9240 46062132491 92124264982 138186397473 184248529964 230310662455 276372794946 322434927437 368497059928 460621324910 506683457401 552745589892 644869854874 690931987365 921242649820 967304782311 1013366914802 1105491179784 1289739709748 1381863974730 1520050372203 1612174637185 1842485299640 1934609564622 2026733829604 2533417287005 2579479419496 2763727949460 3040100744406 3224349274370 3546784201807 3869219129244 4053467659208 4836523911555 5066834574010 5527455898920 6080201488812 6448698548740 7093568403614 7600251861015 7738438258488 9673047823110 10133669148020 10640352605421 12160402977624 12897397097480 14187136807228 15200503722030 17733921009035 19346095646220 20267338296040 21280705210842 28374273614456 30401007444060 35467842018070 38692191292440 42561410421684 53201763027105 60802014888120 70935684036140 85122820843368 106403526054210 141871368072280 212807052108420 425614104216840