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426220662240 = 25325547154101
BaseRepresentation
bin1100011001111001011…
…10110010110111100000
31111202011001101000121100
412030330232302313200
523440344442142430
6523445243554400
742536100565302
oct6147456626740
91452131330540
10426220662240
111548394a7a9a
126a73052ba00
1331266a219b9
14168b46d7972
15b148838960
hex633cbb2de0

426220662240 has 144 divisors (see below), whose sum is σ = 1454770751616. Its totient is φ = 113635968000.

The previous prime is 426220662233. The next prime is 426220662253. The reversal of 426220662240 is 42266022624.

426220662240 is a `hidden beast` number, since 4 + 2 + 6 + 2 + 20 + 6 + 622 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×4262206622403 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 426220662195 and 426220662204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7851190 + ... + 7905290.

It is an arithmetic number, because the mean of its divisors is an integer number (10102574664).

Almost surely, 2426220662240 is an apocalyptic number.

426220662240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

426220662240 is an abundant number, since it is smaller than the sum of its proper divisors (1028550089376).

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

426220662240 is a wasteful number, since it uses less digits than its factorization.

426220662240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59593 (or 59582 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 426220662240 its reverse (42266022624), we get a palindrome (468486684864).

The spelling of 426220662240 in words is "four hundred twenty-six billion, two hundred twenty million, six hundred sixty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 5471 10942 16413 21884 27355 32826 43768 49239 54101 54710 65652 82065 87536 98478 108202 109420 131304 162303 164130 175072 196956 216404 218840 246195 262608 270505 324606 328260 393912 432808 437680 486909 492390 525216 541010 649212 656520 787824 811515 865616 875360 973818 984780 1082020 1298424 1313040 1575648 1623030 1731232 1947636 1969560 2164040 2434545 2596848 2626080 3246060 3895272 3939120 4328080 4869090 5193696 6492120 7790544 7878240 8656160 9738180 12984240 15581088 19476360 25968480 38952720 77905440 295986571 591973142 887959713 1183946284 1479932855 1775919426 2367892568 2663879139 2959865710 3551838852 4439798565 4735785136 5327758278 5919731420 7103677704 8879597130 9471570272 10655516556 11839462840 13319395695 14207355408 17759194260 21311033112 23678925680 26638791390 28414710816 35518388520 42622066224 47357851360 53277582780 71036777040 85244132448 106555165560 142073554080 213110331120 426220662240