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71402000124 = 223721323478641
BaseRepresentation
bin100001001111111100…
…1000000111011111100
320211022010110102111010
41002133321000323330
52132212403000444
652445052355220
75105256662400
oct1023771007374
9224263412433
1071402000124
1128310627564
1211a08475b10
13696ba46620
143654cc9100
151ccd74d2b9
hex109fe40efc

71402000124 has 288 divisors, whose sum is σ = 222447568896. Its totient is φ = 17627258880.

The previous prime is 71402000123. The next prime is 71402000141. The reversal of 71402000124 is 42100020417.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 71402000124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71402000123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8258844 + ... + 8267484.

It is an arithmetic number, because the mean of its divisors is an integer number (772387392).

Almost surely, 271402000124 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 71402000124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111223784448).

71402000124 is an abundant number, since it is smaller than the sum of its proper divisors (151045568772).

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

71402000124 is a wasteful number, since it uses less digits than its factorization.

71402000124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8745 (or 8736 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The spelling of 71402000124 in words is "seventy-one billion, four hundred two million, one hundred twenty-four", and thus it is an aban number.