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1418044320 = 25345731129
BaseRepresentation
bin101010010000101…
…1010001110100000
310122211022010010000
41110201122032200
510401004404240
6352413340000
750066115000
oct12441321640
93584263100
101418044320
116684a3760
12336a97600
13197a289a4
14d648c000
158475b430
hex5485a3a0

1418044320 has 960 divisors, whose sum is σ = 6586272000. Its totient is φ = 284497920.

The previous prime is 1418044297. The next prime is 1418044321. The reversal of 1418044320 is 234408141.

1418044320 is a `hidden beast` number, since 141 + 80 + 443 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1418044321) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 48898066 + ... + 48898094.

It is an arithmetic number, because the mean of its divisors is an integer number (6860700).

Almost surely, 21418044320 is an apocalyptic number.

1418044320 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 1418044320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3293136000).

1418044320 is an abundant number, since it is smaller than the sum of its proper divisors (5168227680).

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

1418044320 is a wasteful number, since it uses less digits than its factorization.

1418044320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1418044320 is about 37656.9292428366. The cubic root of 1418044320 is about 1123.4746260319.

The spelling of 1418044320 in words is "one billion, four hundred eighteen million, forty-four thousand, three hundred twenty".