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1313998381872 = 243311437878171
BaseRepresentation
bin10011000111110000011…
…010000010001100110000
311122121122210202221011000
4103013300122002030300
5133012032041204442
62443350441322000
7163635050650341
oct23076032021460
94577583687130
101313998381872
11467299915730
121927b3496300
1396ba928a937
14478527600c8
15242a7d38d4c
hex131f0682330

1313998381872 has 320 divisors, whose sum is σ = 4216093009920. Its totient is φ = 388379577600.

The previous prime is 1313998381859. The next prime is 1313998381877. The reversal of 1313998381872 is 2781838993131.

1313998381872 is a `hidden beast` number, since 1 + 31 + 399 + 8 + 38 + 187 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (1313998381877) 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, 160808347 + ... + 160816517.

It is an arithmetic number, because the mean of its divisors is an integer number (13175290656).

Almost surely, 21313998381872 is an apocalyptic number.

1313998381872 is a gapful number since it is divisible by the number (12) 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 1313998381872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108046504960).

1313998381872 is an abundant number, since it is smaller than the sum of its proper divisors (2902094628048).

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

1313998381872 is a wasteful number, since it uses less digits than its factorization.

1313998381872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9029 (or 9017 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 63.

The spelling of 1313998381872 in words is "one trillion, three hundred thirteen billion, nine hundred ninety-eight million, three hundred eighty-one thousand, eight hundred seventy-two".