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7138911024 = 243471316007
BaseRepresentation
bin1101010011000001…
…10010001100110000
3200102112010020220000
412221200302030300
5104110030123044
63140215350000
7341623512450
oct65140621460
920375106800
107138911024
113033802573
121472982300
1389a02170b
144ba199d60
152bbb07d69
hex1a9832330

7138911024 has 200 divisors, whose sum is σ = 23798024448. Its totient is φ = 2023781760.

The previous prime is 7138911011. The next prime is 7138911049. The reversal of 7138911024 is 4201198317.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 7138911024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1185429 + ... + 1191435.

Almost surely, 27138911024 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 7138911024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11899012224).

7138911024 is an abundant number, since it is smaller than the sum of its proper divisors (16659113424).

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

7138911024 is a wasteful number, since it uses less digits than its factorization.

7138911024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6165 (or 6150 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 7138911024 is about 84492.0766936167. The cubic root of 7138911024 is about 1925.5020694348.

The spelling of 7138911024 in words is "seven billion, one hundred thirty-eight million, nine hundred eleven thousand, twenty-four".