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14381787840 = 2635717312131
BaseRepresentation
bin11010110010011100…
…01010101011000000
31101010021212112000220
431121032022223000
5213423214202330
610335031343040
71016252115420
oct153116125300
941107775026
1014381787840
116110165082
122954521a80
131482744a44
149a609a480
155928ea710
hex35938aac0

14381787840 has 672 divisors, whose sum is σ = 57530829312. Its totient is φ = 2971238400.

The previous prime is 14381787821. The next prime is 14381787877. The reversal of 14381787840 is 4878718341.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 109784575 + ... + 109784705.

Almost surely, 214381787840 is an apocalyptic number.

14381787840 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 14381787840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28765414656).

14381787840 is an abundant number, since it is smaller than the sum of its proper divisors (43149041472).

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

14381787840 is a wasteful number, since it uses less digits than its factorization.

14381787840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 51.

The spelling of 14381787840 in words is "fourteen billion, three hundred eighty-one million, seven hundred eighty-seven thousand, eight hundred forty".