Search a number
-
+
10323189440 = 2651937109421
BaseRepresentation
bin10011001110100111…
…10101111011000000
3222122102220100200122
421213103311323000
5132120214030230
64424205435412
7513550443134
oct114723657300
928572810618
1010323189440
114418198023
12200126bb68
13c86947325
146dd0513c4
1540644cbe5
hex2674f5ec0

10323189440 has 224 divisors, whose sum is σ = 26882750400. Its totient is φ = 3762339840.

The previous prime is 10323189433. The next prime is 10323189509. The reversal of 10323189440 is 4498132301.

It is a self number, because there is not a number n which added to its sum of digits gives 10323189440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24520430 + ... + 24520850.

Almost surely, 210323189440 is an apocalyptic number.

10323189440 is a gapful number since it is divisible by the number (10) 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 10323189440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13441375200).

10323189440 is an abundant number, since it is smaller than the sum of its proper divisors (16559560960).

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

10323189440 is a wasteful number, since it uses less digits than its factorization.

10323189440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 10323189440 in words is "ten billion, three hundred twenty-three million, one hundred eighty-nine thousand, four hundred forty".