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131144414004 = 22324188851229
BaseRepresentation
bin111101000100011010…
…0001111001100110100
3110112111200100111111200
41322020310033030310
54122040432222004
6140125155532500
712321611061222
oct1721064171464
9415450314450
10131144414004
115068866a32a
12214bbbba130
13c4a0006196
1464c1489b12
15362856e239
hex1e88d0f334

131144414004 has 36 divisors (see below), whose sum is σ = 339589401060. Its totient is φ = 42648589440.

The previous prime is 131144413969. The next prime is 131144414029. The reversal of 131144414004 is 400414441131.

It can be written as a sum of positive squares in 2 ways, for example, as 3408224400 + 127736189604 = 58380^2 + 357402^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44424139 + ... + 44427090.

Almost surely, 2131144414004 is an apocalyptic number.

It is an amenable number.

131144414004 is an abundant number, since it is smaller than the sum of its proper divisors (208444987056).

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

131144414004 is a wasteful number, since it uses less digits than its factorization.

131144414004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88851280 (or 88851275 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 131144414004 its reverse (400414441131), we get a palindrome (531558855135).

The spelling of 131144414004 in words is "one hundred thirty-one billion, one hundred forty-four million, four hundred fourteen thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 88851229 177702458 266553687 355404916 533107374 799661061 1066214748 1599322122 3198644244 3642900389 7285800778 10928701167 14571601556 21857402334 32786103501 43714804668 65572207002 131144414004