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14418243840 = 283571131331
BaseRepresentation
bin11010110110110010…
…01111000100000000
31101012211110200021010
431123121033010000
5214012032300330
610342413000520
71020204023220
oct153331170400
941184420233
1014418243840
1161297a5000
122964783140
13148a16a440
149aac6a080
15595bec3b0
hex35b64f100

14418243840 has 1152 divisors, whose sum is σ = 64348913664. Its totient is φ = 2676326400.

The previous prime is 14418243839. The next prime is 14418243859. The reversal of 14418243840 is 4834281441.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 465104625 + ... + 465104655.

It is an arithmetic number, because the mean of its divisors is an integer number (55858432).

Almost surely, 214418243840 is an apocalyptic number.

14418243840 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 14418243840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32174456832).

14418243840 is an abundant number, since it is smaller than the sum of its proper divisors (49930669824).

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

14418243840 is a wasteful number, since it uses less digits than its factorization.

14418243840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The spelling of 14418243840 in words is "fourteen billion, four hundred eighteen million, two hundred forty-three thousand, eight hundred forty".