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131034213144 = 23321819919627
BaseRepresentation
bin111101000001000111…
…1110110101100011000
3110112012222222201100100
41322002033312230120
54121324224310034
6140110221535400
712316102302012
oct1720217665430
9415188881310
10131034213144
115063144083a
122148b114560
13c483230583
1464b09a11b2
15361da52099
hex1e823f6b18

131034213144 has 24 divisors (see below), whose sum is σ = 354884327460. Its totient is φ = 43678071024.

The previous prime is 131034213109. The next prime is 131034213151. The reversal of 131034213144 is 441312430131.

131034213144 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 342 + 1 + 314 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

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 5 ways as a sum of consecutive naturals, for example, 909959742 + ... + 909959885.

Almost surely, 2131034213144 is an apocalyptic number.

It is an amenable number.

131034213144 is an abundant number, since it is smaller than the sum of its proper divisors (223850114316).

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

131034213144 is a wasteful number, since it uses less digits than its factorization.

131034213144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1819919639 (or 1819919632 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 131034213144 its reverse (441312430131), we get a palindrome (572346643275).

The spelling of 131034213144 in words is "one hundred thirty-one billion, thirty-four million, two hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1819919627 3639839254 5459758881 7279678508 10919517762 14559357016 16379276643 21839035524 32758553286 43678071048 65517106572 131034213144