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131403021041400 = 233522953281507077
BaseRepresentation
bin11101111000001010100110…
…011001000011111011111000
3122020021000011110121212221220
4131320022212121003323320
5114210401341341311100
61143245414200032040
736451361233611423
oct3570124631037370
9566230143555856
10131403021041400
1138961787787649
12128a2951a62620
13584233702ca04
142463d23aca9ba
15102d162a56aa0
hex7782a6643ef8

131403021041400 has 384 divisors, whose sum is σ = 430875535147200. Its totient is φ = 33075958988800.

The previous prime is 131403021041399. The next prime is 131403021041423. The reversal of 131403021041400 is 4140120304131.

It is a super-2 number, since 2×1314030210414002 (a number of 29 digits) contains 22 as substring.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 258884662 + ... + 259391738.

Almost surely, 2131403021041400 is an apocalyptic number.

131403021041400 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 131403021041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215437767573600).

131403021041400 is an abundant number, since it is smaller than the sum of its proper divisors (299472514105800).

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

131403021041400 is a wasteful number, since it uses less digits than its factorization.

131403021041400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507459 (or 507450 counting only the distinct ones).

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

Adding to 131403021041400 its reverse (4140120304131), we get a palindrome (135543141345531).

The spelling of 131403021041400 in words is "one hundred thirty-one trillion, four hundred three billion, twenty-one million, forty-one thousand, four hundred".