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1418975712 = 253372112277
BaseRepresentation
bin101010010010011…
…1101100111100000
310122220001102202000
41110210331213200
510401224210322
6352445324000
750110044300
oct12444754740
93586042660
101418975712
11668a7a500
12337266600
13197c938cb
14d6651600
15848923ac
hex5493d9e0

1418975712 has 432 divisors, whose sum is σ = 5310945360. Its totient is φ = 367234560.

The previous prime is 1418975693. The next prime is 1418975759. The reversal of 1418975712 is 2175798141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5122518 + ... + 5122794.

It is an arithmetic number, because the mean of its divisors is an integer number (12293855).

Almost surely, 21418975712 is an apocalyptic number.

1418975712 is a gapful number since it is divisible by the number (12) 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 1418975712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2655472680).

1418975712 is an abundant number, since it is smaller than the sum of its proper divisors (3891969648).

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

1418975712 is a wasteful number, since it uses less digits than its factorization.

1418975712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 300 counting only the distinct ones).

The product of its digits is 141120, while the sum is 45.

The square root of 1418975712 is about 37669.2940204618. The cubic root of 1418975712 is about 1123.7205436552.

The spelling of 1418975712 in words is "one billion, four hundred eighteen million, nine hundred seventy-five thousand, seven hundred twelve".