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138888894444144 = 243132231973778727
BaseRepresentation
bin11111100101000110010111…
…001101110111001001110000
3200012202122111212010002012220
4133211012113031313021300
5121201023423434203034
61211220402142521040
741153251164633465
oct3745062715671160
9605678455102186
10138888894444144
11402884a40a6819
12136b1721896180
135c66221ba0500
142642388d1766c
15110cc43a9a749
hex7e5197377270

138888894444144 has 240 divisors, whose sum is σ = 407469248727552. Its totient is φ = 40669490813952.

The previous prime is 138888894444137. The next prime is 138888894444197. The reversal of 138888894444144 is 441444498888831.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a self number, because there is not a number n which added to its sum of digits gives 138888894444144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34866109 + ... + 38644835.

Almost surely, 2138888894444144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138888894444144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203734624363776).

138888894444144 is an abundant number, since it is smaller than the sum of its proper divisors (268580354283408).

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

138888894444144 is a wasteful number, since it uses less digits than its factorization.

138888894444144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3778984 (or 3778965 counting only the distinct ones).

The product of its digits is 3623878656, while the sum is 78.

The spelling of 138888894444144 in words is "one hundred thirty-eight trillion, eight hundred eighty-eight billion, eight hundred ninety-four million, four hundred forty-four thousand, one hundred forty-four".