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131401213440000 = 21235472444219
BaseRepresentation
bin11101111000001000111010…
…101001100111000000000000
3122020020211111111022012222220
4131320020322221213000000
5114210334141120040000
61143244514544531040
736451265364344460
oct3570107251470000
9566224444265886
10131401213440000
1138960a3a400999
12128a2528620a80
1358421096aaa9a
142463bd19d5ba0
15102d0a8eeb1a0
hex77823aa67000

131401213440000 has 520 divisors, whose sum is σ = 500354985651840. Its totient is φ = 30034550784000.

The previous prime is 131401213439963. The next prime is 131401213440019. The reversal of 131401213440000 is 44312104131.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 52537891 + ... + 54982109.

Almost surely, 2131401213440000 is an apocalyptic number.

131401213440000 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 131401213440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250177492825920).

131401213440000 is an abundant number, since it is smaller than the sum of its proper divisors (368953772211840).

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

131401213440000 is an frugal number, since it uses more digits than its factorization.

131401213440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444273 (or 2444236 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 131401213440000 its reverse (44312104131), we get a palindrome (131445525544131).

The spelling of 131401213440000 in words is "one hundred thirty-one trillion, four hundred one billion, two hundred thirteen million, four hundred forty thousand".