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131444414004 = 22310953701167
BaseRepresentation
bin111101001101010110…
…0101001011000110100
3110120021120212002010210
41322122230221120310
54123144232222004
6140215033545420
712332213040621
oct1723254513064
9416246762123
10131444414004
1150821a43812
1221584575270
13c51a203c87
14650d25d348
153644a7d089
hex1e9ab29634

131444414004 has 12 divisors (see below), whose sum is σ = 306703632704. Its totient is φ = 43814804664.

The previous prime is 131444413981. The next prime is 131444414033. The reversal of 131444414004 is 400414444131.

It is a tau number, because it is divible by the number of its divisors (12).

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, 5476850572 + ... + 5476850595.

Almost surely, 2131444414004 is an apocalyptic number.

It is an amenable number.

131444414004 is an abundant number, since it is smaller than the sum of its proper divisors (175259218700).

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

131444414004 is a wasteful number, since it uses less digits than its factorization.

131444414004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10953701174 (or 10953701172 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 131444414004 its reverse (400414444131), we get a palindrome (531858858135).

The spelling of 131444414004 in words is "one hundred thirty-one billion, four hundred forty-four million, four hundred fourteen thousand, four".

Divisors: 1 2 3 4 6 12 10953701167 21907402334 32861103501 43814804668 65722207002 131444414004