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131413404500040 = 2335131812020123039
BaseRepresentation
bin11101111000010100010001…
…010010110100000001001000
3122020021222222002221020110010
4131320110101102310001020
5114211034123023000130
61143254252401351520
736452206445552535
oct3570242122640110
9566258862836403
10131413404500040
1138966125999823
12128a496b3385a0
1358433002b9690
14246462ab49d8c
15102d56e40c0b0
hex7785114b4048

131413404500040 has 256 divisors, whose sum is σ = 426951718502400. Its totient is φ = 32166208512000.

The previous prime is 131413404499999. The next prime is 131413404500047. The reversal of 131413404500040 is 40005404314131.

It is a super-2 number, since 2×1314134045000402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 131413404499980 and 131413404500007.

It is not an unprimeable number, because it can be changed into a prime (131413404500047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5703942841 + ... + 5703965879.

It is an arithmetic number, because the mean of its divisors is an integer number (1667780150400).

Almost surely, 2131413404500040 is an apocalyptic number.

131413404500040 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 131413404500040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213475859251200).

131413404500040 is an abundant number, since it is smaller than the sum of its proper divisors (295538314002360).

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

131413404500040 is a wasteful number, since it uses less digits than its factorization.

131413404500040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43448 (or 43444 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 131413404500040 its reverse (40005404314131), we get a palindrome (171418808814171).

The spelling of 131413404500040 in words is "one hundred thirty-one trillion, four hundred thirteen billion, four hundred four million, five hundred thousand, forty".