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31141014144 = 27381096391
BaseRepresentation
bin11101000000001001…
…100010101010000000
32222101021022102112020
4131000021202222000
51002234044423034
622150032001440
72151463152462
oct350011425200
988337272466
1031141014144
1112230321929
126051090280
132c238a60b6
141715bc2132
15c23db2249
hex740262a80

31141014144 has 32 divisors (see below), whose sum is σ = 82718319840. Its totient is φ = 10380337920.

The previous prime is 31141014101. The next prime is 31141014167. The reversal of 31141014144 is 44141014113.

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

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 (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40547812 + ... + 40548579.

It is an arithmetic number, because the mean of its divisors is an integer number (2584947495).

Almost surely, 231141014144 is an apocalyptic number.

It is an amenable number.

31141014144 is an abundant number, since it is smaller than the sum of its proper divisors (51577305696).

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

31141014144 is an equidigital number, since it uses as much as digits as its factorization.

31141014144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81096408 (or 81096396 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 31141014144 its reverse (44141014113), we get a palindrome (75282028257).

The spelling of 31141014144 in words is "thirty-one billion, one hundred forty-one million, fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 81096391 162192782 243289173 324385564 486578346 648771128 973156692 1297542256 1946313384 2595084512 3892626768 5190169024 7785253536 10380338048 15570507072 31141014144