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31403766144 = 27381780641
BaseRepresentation
bin11101001111110011…
…110111000110000000
310000001120201121111210
4131033303313012000
51003303331004034
622232055410120
72161133415342
oct351763670600
9100046647453
1031403766144
1112355675343
126105083940
132c66161b5a
14173ca5b292
15c3beb48e9
hex74fcf7180

31403766144 has 32 divisors (see below), whose sum is σ = 83416254840. Its totient is φ = 10467921920.

The previous prime is 31403766131. The next prime is 31403766209. The reversal of 31403766144 is 44166730413.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 40889937 + ... + 40890704.

Almost surely, 231403766144 is an apocalyptic number.

It is an amenable number.

31403766144 is an abundant number, since it is smaller than the sum of its proper divisors (52012488696).

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

31403766144 is an equidigital number, since it uses as much as digits as its factorization.

31403766144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81780658 (or 81780646 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 31403766144 in words is "thirty-one billion, four hundred three million, seven hundred sixty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 81780641 163561282 245341923 327122564 490683846 654245128 981367692 1308490256 1962735384 2616980512 3925470768 5233961024 7850941536 10467922048 15701883072 31403766144