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1413156096 = 283211237137
BaseRepresentation
bin101010000111011…
…0000110100000000
310122111002202201200
41110032300310000
510343231443341
6352120501200
750006425422
oct12416606400
93574082650
101413156096
11665765100
1233531a800
13196a06a51
14d5978812
15840e2db6
hex543b0d00

1413156096 has 324 divisors, whose sum is σ = 4633173636. Its totient is φ = 413614080.

The previous prime is 1413156089. The next prime is 1413156137. The reversal of 1413156096 is 6906513141.

1413156096 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 1 + 560 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1071645696 + 341510400 = 32736^2 + 18480^2 .

It is a super-2 number, since 2×14131560962 = 3994020303323922432, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1413156096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10314940 + ... + 10315076.

Almost surely, 21413156096 is an apocalyptic number.

1413156096 is a gapful number since it is divisible by the number (16) 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 1413156096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2316586818).

1413156096 is an abundant number, since it is smaller than the sum of its proper divisors (3220017540).

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

1413156096 is a wasteful number, since it uses less digits than its factorization.

1413156096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1413156096 is about 37591.9685039238. The cubic root of 1413156096 is about 1122.1822080095.

The spelling of 1413156096 in words is "one billion, four hundred thirteen million, one hundred fifty-six thousand, ninety-six".