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404452641640 = 23510111316041
BaseRepresentation
bin1011110001010110100…
…00011000101101101000
31102122222000000000001011
411320223100120231220
523111304334013030
6505445235433304
741135466505345
oct5705320305550
91378860000034
10404452641640
11146588a76a23
1266476455834
132c1a7c72c38
141580b6a17cc
15a7c277eb2a
hex5e2b418b68

404452641640 has 16 divisors (see below), whose sum is σ = 910018443780. Its totient is φ = 161781056640.

The previous prime is 404452641629. The next prime is 404452641661. The reversal of 404452641640 is 46146254404.

It can be written as a sum of positive squares in 2 ways, for example, as 326815735684 + 77636905956 = 571678^2 + 278634^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 10111316041 = 404452641640 / (4 + 0 + 4 + 4 + 5 + 2 + 6 + 4 + 1 + 6 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 404452641593 and 404452641602.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5055657981 + ... + 5055658060.

Almost surely, 2404452641640 is an apocalyptic number.

404452641640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404452641640 is an abundant number, since it is smaller than the sum of its proper divisors (505565802140).

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

404452641640 is a wasteful number, since it uses less digits than its factorization.

404452641640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10111316052 (or 10111316048 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 40.

The spelling of 404452641640 in words is "four hundred four billion, four hundred fifty-two million, six hundred forty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 10111316041 20222632082 40445264164 50556580205 80890528328 101113160410 202226320820 404452641640