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131412303240 = 23351095102527
BaseRepresentation
bin111101001100011001…
…0001001110110001000
3110120012100102200110020
41322120302021312020
54123113022200430
6140211525420440
712331343101341
oct1723062116610
9416170380406
10131412303240
1150805901499
122157586a720
13c51367031a
146508ca10c8
153641d38b10
hex1e98c89d88

131412303240 has 32 divisors (see below), whose sum is σ = 394236910080. Its totient is φ = 35043280832.

The previous prime is 131412303229. The next prime is 131412303263. The reversal of 131412303240 is 42303214131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 131412303240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 547551144 + ... + 547551383.

It is an arithmetic number, because the mean of its divisors is an integer number (12319903440).

Almost surely, 2131412303240 is an apocalyptic number.

131412303240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131412303240 is an abundant number, since it is smaller than the sum of its proper divisors (262824606840).

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

131412303240 is a wasteful number, since it uses less digits than its factorization.

131412303240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095102541 (or 1095102537 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 131412303240 its reverse (42303214131), we get a palindrome (173715517371).

The spelling of 131412303240 in words is "one hundred thirty-one billion, four hundred twelve million, three hundred three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1095102527 2190205054 3285307581 4380410108 5475512635 6570615162 8760820216 10951025270 13141230324 16426537905 21902050540 26282460648 32853075810 43804101080 65706151620 131412303240