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19310903040 = 28351121323139
BaseRepresentation
bin10001111111000001…
…001111111100000000
31211211210212111221010
4101333001033330000
5304022042344130
612512111400520
71252353652602
oct217701177400
954753774833
1019310903040
11820a557300
1238ab223140
131a899b5160
14d12989172
157804ee0b0
hex47f04ff00

19310903040 has 864 divisors, whose sum is σ = 76727508480. Its totient is φ = 4103700480.

The previous prime is 19310903039. The next prime is 19310903057. The reversal of 19310903040 is 4030901391.

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 = 19310902989 and 19310903007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138927291 + ... + 138927429.

Almost surely, 219310903040 is an apocalyptic number.

19310903040 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 19310903040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38363754240).

19310903040 is an abundant number, since it is smaller than the sum of its proper divisors (57416605440).

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

19310903040 is a wasteful number, since it uses less digits than its factorization.

19310903040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The spelling of 19310903040 in words is "nineteen billion, three hundred ten million, nine hundred three thousand, forty".