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405137715140 = 22520256885757
BaseRepresentation
bin1011110010101000001…
…01101110111111000100
31102201201202002100012202
411321110011232333010
523114210223341030
6510041231134032
741161455521234
oct5712405567704
91381652070182
10405137715140
111468aa750874
1266627974318
132c286b87282
1415874671cc4
15a8129a4745
hex5e5416efc4

405137715140 has 12 divisors (see below), whose sum is σ = 850789201836. Its totient is φ = 162055086048.

The previous prime is 405137715127. The next prime is 405137715173. The reversal of 405137715140 is 41517731504.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 250638407044 + 154499308096 = 500638^2 + 393064^2 .

It is a junction number, because it is equal to n+sod(n) for n = 405137715094 and 405137715103.

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, 10128442859 + ... + 10128442898.

It is an arithmetic number, because the mean of its divisors is an integer number (70899100153).

Almost surely, 2405137715140 is an apocalyptic number.

It is an amenable number.

405137715140 is an abundant number, since it is smaller than the sum of its proper divisors (445651486696).

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

405137715140 is a wasteful number, since it uses less digits than its factorization.

405137715140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20256885766 (or 20256885764 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 38.

The spelling of 405137715140 in words is "four hundred five billion, one hundred thirty-seven million, seven hundred fifteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 20256885757 40513771514 81027543028 101284428785 202568857570 405137715140