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420122353404 = 2231317320349459
BaseRepresentation
bin1100001110100010011…
…11100101111011111100
31111011102001022211120010
412013101033211323330
523340402310302104
6521000200023220
742232011040245
oct6072117457374
91434361284503
10420122353404
1115219a130336
126950a161b10
1330804485130
1416496817ccc
15addd282489
hex61d13e5efc

420122353404 has 96 divisors (see below), whose sum is σ = 1118163191040. Its totient is φ = 121623948288.

The previous prime is 420122353379. The next prime is 420122353457. The reversal of 420122353404 is 404353221024.

It is a super-4 number, since 4×4201223534044 (a number of 48 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8469627 + ... + 8519085.

It is an arithmetic number, because the mean of its divisors is an integer number (11647533240).

Almost surely, 2420122353404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420122353404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559081595520).

420122353404 is an abundant number, since it is smaller than the sum of its proper divisors (698040837636).

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

420122353404 is a wasteful number, since it uses less digits than its factorization.

420122353404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52699 (or 52697 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 420122353404 its reverse (404353221024), we get a palindrome (824475574428).

The spelling of 420122353404 in words is "four hundred twenty billion, one hundred twenty-two million, three hundred fifty-three thousand, four hundred four".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 663 884 1326 2652 3203 6406 9609 12812 19218 38436 41639 49459 54451 83278 98918 108902 124917 148377 163353 166556 197836 217804 249834 296754 326706 499668 593508 642967 653412 707863 840803 1285934 1415726 1681606 1928901 2123589 2522409 2571868 2831452 3363212 3857802 4247178 5044818 7715604 8494356 10089636 10930439 21860878 32791317 43721756 65582634 131165268 158417177 316834354 475251531 633668708 950503062 1901006124 2059423301 2693092009 4118846602 5386184018 6178269903 8079276027 8237693204 10772368036 12356539806 16158552054 24713079612 32317104108 35010196117 70020392234 105030588351 140040784468 210061176702 420122353404