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131404414204 = 227101162728559
BaseRepresentation
bin111101001100001010…
…0000011110011111100
3110120011210120212201201
41322120110003303330
54123104012223304
6140211044345244
712331216043260
oct1723024036374
9416153525651
10131404414204
1150801403328
12215730a5224
13c511b3a55b
146507c0a0a0
1536412cb3a4
hex1e98503cfc

131404414204 has 48 divisors (see below), whose sum is σ = 265583324160. Its totient is φ = 55722369600.

The previous prime is 131404414019. The next prime is 131404414217. The reversal of 131404414204 is 402414404131.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 15 ways as a sum of consecutive naturals, for example, 4586877 + ... + 4615435.

It is an arithmetic number, because the mean of its divisors is an integer number (5532985920).

Almost surely, 2131404414204 is an apocalyptic number.

131404414204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131404414204 is an abundant number, since it is smaller than the sum of its proper divisors (134178909956).

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

131404414204 is a wasteful number, since it uses less digits than its factorization.

131404414204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30298 (or 30296 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 131404414204 its reverse (402414404131), we get a palindrome (533818818335).

The spelling of 131404414204 in words is "one hundred thirty-one billion, four hundred four million, four hundred fourteen thousand, two hundred four".

Divisors: 1 2 4 7 14 28 101 202 404 707 1414 1627 2828 3254 6508 11389 22778 28559 45556 57118 114236 164327 199913 328654 399826 657308 799652 1150289 2300578 2884459 4601156 5768918 11537836 20191213 40382426 46465493 80764852 92930986 185861972 325258451 650516902 1301033804 4693014793 9386029586 18772059172 32851103551 65702207102 131404414204