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404320056100 = 225229139420709
BaseRepresentation
bin1011110001000110101…
…10100111001100100100
31102122121202111221212121
411320203112213030210
523111021413243400
6505424141555324
741132266525522
oct5704326471444
91378552457777
10404320056100
111465201494a4
1266439b75b44
132c18666065c
14157d7c2b312
15a7b5ce021a
hex5e235a7324

404320056100 has 36 divisors (see below), whose sum is σ = 907628822100. Its totient is φ = 156151192960.

The previous prime is 404320056089. The next prime is 404320056109. The reversal of 404320056100 is 1650023404.

It can be written as a sum of positive squares in 6 ways, for example, as 5292853504 + 399027202596 = 72752^2 + 631686^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (404320056109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69707455 + ... + 69713254.

It is an arithmetic number, because the mean of its divisors is an integer number (25211911725).

Almost surely, 2404320056100 is an apocalyptic number.

It is an amenable number.

404320056100 is an abundant number, since it is smaller than the sum of its proper divisors (503308766000).

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

404320056100 is a wasteful number, since it uses less digits than its factorization.

404320056100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139420752 (or 139420745 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 404320056100 its reverse (1650023404), we get a palindrome (405970079504).

The spelling of 404320056100 in words is "four hundred four billion, three hundred twenty million, fifty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 139420709 278841418 557682836 697103545 1394207090 2788414180 3485517725 4043200561 6971035450 8086401122 13942070900 16172802244 20216002805 40432005610 80864011220 101080014025 202160028050 404320056100