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131342000414144 = 2613379074164481
BaseRepresentation
bin11101110111010001110001…
…010001110101110111000000
3122020001011122211112211211012
4131313101301101311313000
5114203401404101223034
61143201403152140052
736444101132052152
oct3567216121656700
9566034584484735
10131342000414144
1138938914178193
1212892b62237628
135839660cc2890
142460db587aad2
15102b7908eacce
hex777471475dc0

131342000414144 has 56 divisors (see below), whose sum is σ = 280687852540368. Its totient is φ = 60617771089920.

The previous prime is 131342000414071. The next prime is 131342000414161. The reversal of 131342000414144 is 441414000243131.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 131342000414144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29456384 + ... + 33620864.

It is an arithmetic number, because the mean of its divisors is an integer number (5012283081078).

Almost surely, 2131342000414144 is an apocalyptic number.

It is an amenable number.

131342000414144 is an abundant number, since it is smaller than the sum of its proper divisors (149345852126224).

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

131342000414144 is a wasteful number, since it uses less digits than its factorization.

131342000414144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4202413 (or 4202403 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 131342000414144 its reverse (441414000243131), we get a palindrome (572756000657275).

The spelling of 131342000414144 in words is "one hundred thirty-one trillion, three hundred forty-two billion, four hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 37907 75814 151628 303256 492791 606512 985582 1213024 1971164 2426048 3942328 4164481 7884656 8328962 15769312 16657924 31538624 33315848 54138253 66631696 108276506 133263392 216553012 266526784 433106024 866212048 1732424096 3464848192 157862981267 315725962534 631451925068 1262903850136 2052218756471 2525807700272 4104437512942 5051615400544 8208875025884 10103230801088 16417750051768 32835500103536 65671000207072 131342000414144