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1418243904 = 263471121719
BaseRepresentation
bin101010010001000…
…1010111101000000
310122211200020220000
41110202022331000
510401032301104
6352421520000
750100605610
oct12442127500
93584606800
101418243904
1166861a700
12336b73000
13197a9879c
14d6500a40
158479a639
hex5488af40

1418243904 has 840 divisors, whose sum is σ = 5886175680. Its totient is φ = 328458240.

The previous prime is 1418243899. The next prime is 1418243969. The reversal of 1418243904 is 4093428141.

It is a happy number.

1418243904 is a `hidden beast` number, since 141 + 82 + 439 + 0 + 4 = 666.

It is a super-2 number, since 2×14182439042 = 4022831542466322432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 74644407 + ... + 74644425.

It is an arithmetic number, because the mean of its divisors is an integer number (7007352).

Almost surely, 21418243904 is an apocalyptic number.

1418243904 is a gapful number since it is divisible by the number (14) 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 1418243904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2943087840).

1418243904 is an abundant number, since it is smaller than the sum of its proper divisors (4467931776).

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

1418243904 is a wasteful number, since it uses less digits than its factorization.

1418243904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1418243904 is about 37659.5791798050. The cubic root of 1418243904 is about 1123.5273317284.

The spelling of 1418243904 in words is "one billion, four hundred eighteen million, two hundred forty-three thousand, nine hundred four".