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404231141132404 = 22611840818999761
BaseRepresentation
bin101101111101001010110010…
…1100100110000100001110100
31222000021010020020202221022121
41123322111211210300201310
5410440410334112214104
63551421120025405324
7151100510340100105
oct13372254544604164
91860233206687277
10404231141132404
11107889511981123
1239406853339844
1314472aaa280501
1471b6c6a87c3ac
1531aeea6445254
hex16fa565930874

404231141132404 has 24 divisors (see below), whose sum is σ = 719005277802056. Its totient is φ = 198801098496000.

The previous prime is 404231141132347. The next prime is 404231141132459.

404231141132404 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 19726495868304 + 384504645264100 = 4441452^2 + 19608790^2 .

It is a super-2 number, since 2×4042311411324042 (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 404231141132404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40415884 + ... + 49415644.

Almost surely, 2404231141132404 is an apocalyptic number.

It is an amenable number.

404231141132404 is a deficient number, since it is larger than the sum of its proper divisors (314774136669652).

404231141132404 is a wasteful number, since it uses less digits than its factorization.

404231141132404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9183907 (or 9183905 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The spelling of 404231141132404 in words is "four hundred four trillion, two hundred thirty-one billion, one hundred forty-one million, one hundred thirty-two thousand, four hundred four".

Divisors: 1 2 4 61 122 244 184081 368162 736324 8999761 11228941 17999522 22457882 35999044 44915764 548985421 1097970842 2195941684 1656685004641 3313370009282 6626740018564 101057785283101 202115570566202 404231141132404