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7023142368 = 2533111922389
BaseRepresentation
bin1101000101001110…
…01010010111100000
3200010110021121011000
412202213022113200
5103340411023433
63120522152000
7336016503504
oct64247122740
920113247130
107023142368
112a844208a0
121440052600
1387c049758
144a8a62304
152b188b113
hex1a29ca5e0

7023142368 has 576 divisors, whose sum is σ = 24886310400. Its totient is φ = 1906882560.

The previous prime is 7023142351. The next prime is 7023142403. The reversal of 7023142368 is 8632413207.

It is a happy number.

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

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, 78911668 + ... + 78911756.

It is an arithmetic number, because the mean of its divisors is an integer number (43205400).

Almost surely, 27023142368 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 7023142368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12443155200).

7023142368 is an abundant number, since it is smaller than the sum of its proper divisors (17863168032).

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

7023142368 is a wasteful number, since it uses less digits than its factorization.

7023142368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 7023142368 is about 83804.1906350750. The cubic root of 7023142368 is about 1915.0369475700.

The spelling of 7023142368 in words is "seven billion, twenty-three million, one hundred forty-two thousand, three hundred sixty-eight".