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10903423440 = 243571337103131
BaseRepresentation
bin10100010011110010…
…10000100111010000
31001010212201022002210
422021321100213100
5134312234022230
65001534112120
7534124366350
oct121171204720
931125638083
1010903423440
114695775458
12214364b640
131049c12160
14756130b60
1543c363eb0
hex289e509d0

10903423440 has 640 divisors, whose sum is σ = 43469217792. Its totient is φ = 2199674880.

The previous prime is 10903423423. The next prime is 10903423507. The reversal of 10903423440 is 4432430901.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10903423398 and 10903423407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 83232175 + ... + 83232305.

Almost surely, 210903423440 is an apocalyptic number.

10903423440 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 10903423440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21734608896).

10903423440 is an abundant number, since it is smaller than the sum of its proper divisors (32565794352).

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

10903423440 is a wasteful number, since it uses less digits than its factorization.

10903423440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 10903423440 in words is "ten billion, nine hundred three million, four hundred twenty-three thousand, four hundred forty".