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131344424514144 = 2532456057029563
BaseRepresentation
bin11101110111010100000001…
…110001000011001001100000
3122020001101220202220212212200
4131313110001301003021200
5114203421340133423034
61143202443505053200
736444215165422122
oct3567240161031140
9566041822825780
10131344424514144
1138939948550416
121289351a027200
135839959298b8a
1424611657b1212
15102b883632a99
hex777501c43260

131344424514144 has 36 divisors (see below), whose sum is σ = 373510707212916. Its totient is φ = 43781474837952.

The previous prime is 131344424514139. The next prime is 131344424514221. The reversal of 131344424514144 is 441415424443131.

131344424514144 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 44 + 424 + 5 + 141 + 44 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 131344424514144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 228028514494 + ... + 228028515069.

It is an arithmetic number, because the mean of its divisors is an integer number (10375297422581).

Almost surely, 2131344424514144 is an apocalyptic number.

It is an amenable number.

131344424514144 is an abundant number, since it is smaller than the sum of its proper divisors (242166282698772).

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

131344424514144 is a wasteful number, since it uses less digits than its factorization.

131344424514144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456057029579 (or 456057029568 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 45.

Adding to 131344424514144 its reverse (441415424443131), we get a palindrome (572759848957275).

The spelling of 131344424514144 in words is "one hundred thirty-one trillion, three hundred forty-four billion, four hundred twenty-four million, five hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 456057029563 912114059126 1368171088689 1824228118252 2736342177378 3648456236504 4104513266067 5472684354756 7296912473008 8209026532134 10945368709512 14593824946016 16418053064268 21890737419024 32836106128536 43781474838048 65672212257072 131344424514144