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131432144214 = 23741118764301
BaseRepresentation
bin111101001100111110…
…1110101110101010110
3110120020201202201011010
41322121331311311112
54123133112103324
6140213514553050
712332003535630
oct1723175656526
9416221681133
10131432144214
1150816023298
1221580438786
13c5177c9247
14650b787a50
153643957829
hex1e99f75d56

131432144214 has 64 divisors (see below), whose sum is σ = 308007608832. Its totient is φ = 36604704000.

The previous prime is 131432144213. The next prime is 131432144243. The reversal of 131432144214 is 412441234131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131432144213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2011864 + ... + 2076164.

It is an arithmetic number, because the mean of its divisors is an integer number (4812618888).

Almost surely, 2131432144214 is an apocalyptic number.

131432144214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131432144214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154003804416).

131432144214 is an abundant number, since it is smaller than the sum of its proper divisors (176575464618).

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

131432144214 is a wasteful number, since it uses less digits than its factorization.

131432144214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65541.

The product of its digits is 9216, while the sum is 30.

Adding to 131432144214 its reverse (412441234131), we get a palindrome (543873378345).

The spelling of 131432144214 in words is "one hundred thirty-one billion, four hundred thirty-two million, one hundred forty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 21 41 42 82 123 246 287 574 861 1187 1722 2374 3561 7122 8309 16618 24927 48667 49854 64301 97334 128602 146001 192903 292002 340669 385806 450107 681338 900214 1022007 1350321 2044014 2636341 2700642 5272682 7909023 15818046 18454387 36908774 55363161 76325287 110726322 152650574 228975861 457951722 534277009 1068554018 1602831027 3129336767 3205662054 6258673534 9388010301 18776020602 21905357369 43810714738 65716072107 131432144214