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145431101504 = 2613174796997
BaseRepresentation
bin1000011101110001011…
…1101000000001000000
3111220101100021102101202
42013130113220001000
54340320330222004
6150450553120332
713335626652323
oct2073427500100
9456340242352
10145431101504
115674a07a087
12242286b90a8
1310938b31620
147078a6c7ba
153bb2931b1e
hex21dc5e8040

145431101504 has 28 divisors (see below), whose sum is σ = 310789062444. Its totient is φ = 67122046464.

The previous prime is 145431101447. The next prime is 145431101521. The reversal of 145431101504 is 405101134541.

It can be written as a sum of positive squares in 2 ways, for example, as 64593239104 + 80837862400 = 254152^2 + 284320^2 .

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, 87397667 + ... + 87399330.

It is an arithmetic number, because the mean of its divisors is an integer number (11099609373).

Almost surely, 2145431101504 is an apocalyptic number.

It is an amenable number.

145431101504 is an abundant number, since it is smaller than the sum of its proper divisors (165357960940).

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

145431101504 is a wasteful number, since it uses less digits than its factorization.

145431101504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174797022 (or 174797012 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The spelling of 145431101504 in words is "one hundred forty-five billion, four hundred thirty-one million, one hundred one thousand, five hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 174796997 349593994 699187988 1398375976 2272360961 2796751952 4544721922 5593503904 9089443844 11187007808 18178887688 36357775376 72715550752 145431101504