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131392242240 = 2635722387679
BaseRepresentation
bin111101001011110010…
…1101000001001000000
3110120010221200110221020
41322113211220021000
54123042403222430
6140205531425440
712331010426430
oct1722745501100
9416127613836
10131392242240
11507a554a356
122156abb5280
13c50c4681cc
14650635c2c0
1536401c4b10
hex1e97968240

131392242240 has 224 divisors, whose sum is σ = 478909562880. Its totient is φ = 29897496576.

The previous prime is 131392242239. The next prime is 131392242257. The reversal of 131392242240 is 42242293131.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1454721 + ... + 1542399.

It is an arithmetic number, because the mean of its divisors is an integer number (2137989120).

Almost surely, 2131392242240 is an apocalyptic number.

131392242240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131392242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239454781440).

131392242240 is an abundant number, since it is smaller than the sum of its proper divisors (347517320640).

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

131392242240 is a wasteful number, since it uses less digits than its factorization.

131392242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87929 (or 87919 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 131392242240 in words is "one hundred thirty-one billion, three hundred ninety-two million, two hundred forty-two thousand, two hundred forty".