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131303140014240 = 25325437329048339
BaseRepresentation
bin11101110110101101100101…
…000001001011100010100000
3122012220110100120211222202200
4131312231211001023202200
5114202232312320423430
61143131455123013200
736441224133105465
oct3566554501134240
9565813316758680
10131303140014240
1138923392521607
1212887517b0a200
135835aaa0777cc
14245d16a79966c
15102a768ebd460
hex776b6504b8a0

131303140014240 has 288 divisors, whose sum is σ = 464772975226560. Its totient is φ = 33731394859008.

The previous prime is 131303140014199. The next prime is 131303140014247. The reversal of 131303140014240 is 42410041303131.

131303140014240 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 0 + 3 + 1 + 400 + 14 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1313031400142402 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131303140014247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10004010 + ... + 19044329.

It is an arithmetic number, because the mean of its divisors is an integer number (1613795052870).

Almost surely, 2131303140014240 is an apocalyptic number.

131303140014240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131303140014240 is an abundant number, since it is smaller than the sum of its proper divisors (333469835212320).

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

131303140014240 is a wasteful number, since it uses less digits than its factorization.

131303140014240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29048476 (or 29048465 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 131303140014240 its reverse (42410041303131), we get a palindrome (173713181317371).

The spelling of 131303140014240 in words is "one hundred thirty-one trillion, three hundred three billion, one hundred forty million, fourteen thousand, two hundred forty".