Search a number
-
+
714372331400 = 2352713411098783
BaseRepresentation
bin10100110010100111110…
…10001011011110001000
32112021220211120110222022
422121103322023132020
543201013304101100
61304102250144012
7102416545425230
oct12312372133610
92467824513868
10714372331400
11255a66614a32
12b6549a22008
1352498c50650
142680c01ccc0
15138b0c35e85
hexa653e8b788

714372331400 has 384 divisors, whose sum is σ = 2113514726400. Its totient is φ = 218524262400.

The previous prime is 714372331367. The next prime is 714372331423. The reversal of 714372331400 is 4133273417.

714372331400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 81331409 + ... + 81340191.

It is an arithmetic number, because the mean of its divisors is an integer number (5503944600).

Almost surely, 2714372331400 is an apocalyptic number.

714372331400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 714372331400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056757363200).

714372331400 is an abundant number, since it is smaller than the sum of its proper divisors (1399142395000).

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

714372331400 is a wasteful number, since it uses less digits than its factorization.

714372331400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8969 (or 8960 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 35.

The spelling of 714372331400 in words is "seven hundred fourteen billion, three hundred seventy-two million, three hundred thirty-one thousand, four hundred".