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32113142304 = 2531013311999
BaseRepresentation
bin11101111010000101…
…111010101000100000
310001220000112122122220
4131322011322220200
51011231431023204
622430320031040
72214536130405
oct357205725040
9101800478586
1032113142304
111268a039131
126282762480
13304a104b69
1417a8d562ac
15c7e3da1d9
hex77a17aa20

32113142304 has 48 divisors (see below), whose sum is σ = 85131648000. Its totient is φ = 10598393600.

The previous prime is 32113142291. The next prime is 32113142311. The reversal of 32113142304 is 40324131123.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1646304 + ... + 1665695.

It is an arithmetic number, because the mean of its divisors is an integer number (1773576000).

Almost surely, 232113142304 is an apocalyptic number.

It is an amenable number.

32113142304 is an abundant number, since it is smaller than the sum of its proper divisors (53018505696).

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

32113142304 is a wasteful number, since it uses less digits than its factorization.

32113142304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3312113 (or 3312105 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 32113142304 its reverse (40324131123), we get a palindrome (72437273427).

The spelling of 32113142304 in words is "thirty-two billion, one hundred thirteen million, one hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 606 808 1212 1616 2424 3232 4848 9696 3311999 6623998 9935997 13247996 19871994 26495992 39743988 52991984 79487976 105983968 158975952 317951904 334511899 669023798 1003535697 1338047596 2007071394 2676095192 4014142788 5352190384 8028285576 10704380768 16056571152 32113142304