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138216144 = 24311261773
BaseRepresentation
bin10000011110100…
…00001011010000
3100122002002220110
420033100023100
5240340404034
621414241320
73265550343
oct1017201320
9318062813
10138216144
1171023920
123a356240
1322834401
14144dc45a
15c202de9
hex83d02d0

138216144 has 40 divisors (see below), whose sum is σ = 389519712. Its totient is φ = 41883520.

The previous prime is 138216139. The next prime is 138216157. The reversal of 138216144 is 441612831.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130359 + ... + 131414.

Almost surely, 2138216144 is an apocalyptic number.

It is an amenable number.

138216144 is an abundant number, since it is smaller than the sum of its proper divisors (251303568).

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

138216144 is a wasteful number, since it uses less digits than its factorization.

138216144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261795 (or 261789 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 138216144 is about 11756.5362245859. The cubic root of 138216144 is about 517.0345807288.

Adding to 138216144 its reverse (441612831), we get a palindrome (579828975).

The spelling of 138216144 in words is "one hundred thirty-eight million, two hundred sixteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 261773 523546 785319 1047092 1570638 2094184 2879503 3141276 4188368 5759006 6282552 8638509 11518012 12565104 17277018 23036024 34554036 46072048 69108072 138216144