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14889840000 = 2735478863
BaseRepresentation
bin11011101111000000…
…01110110110000000
31102102200212020120120
431313200032312000
5220443244340000
610501300540240
71034661360150
oct156740166600
942380766516
1014889840000
116350a211a2
122a766b1680
131533a88c19
14a1374a760
155c23046a0
hex37780ed80

14889840000 has 320 divisors, whose sum is σ = 56489917440. Its totient is φ = 3403008000.

The previous prime is 14889839983. The next prime is 14889840001. The reversal of 14889840000 is 4898841.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14889840001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1675569 + ... + 1684431.

It is an arithmetic number, because the mean of its divisors is an integer number (176530992).

Almost surely, 214889840000 is an apocalyptic number.

14889840000 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 14889840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28244958720).

14889840000 is an abundant number, since it is smaller than the sum of its proper divisors (41600077440).

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

14889840000 is an frugal number, since it uses more digits than its factorization.

14889840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8907 (or 8880 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The spelling of 14889840000 in words is "fourteen billion, eight hundred eighty-nine million, eight hundred forty thousand".