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1409981472 = 25334153751
BaseRepresentation
bin101010000001010…
…1001110000100000
310122021010110222000
41110002221300200
510341423401342
6351524444000
746640434104
oct12402516040
93567113860
101409981472
11663996a49
12334249600
13196164a83
14d538d904
1583bb744c
hex540a9c20

1409981472 has 192 divisors, whose sum is σ = 4297950720. Its totient is φ = 449280000.

The previous prime is 1409981471. The next prime is 1409981477. The reversal of 1409981472 is 2741899041.

It is a happy number.

1409981472 is a `hidden beast` number, since 14 + 0 + 99 + 81 + 472 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1409981471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1877097 + ... + 1877847.

It is an arithmetic number, because the mean of its divisors is an integer number (22385160).

Almost surely, 21409981472 is an apocalyptic number.

1409981472 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 1409981472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148975360).

1409981472 is an abundant number, since it is smaller than the sum of its proper divisors (2887969248).

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

1409981472 is a wasteful number, since it uses less digits than its factorization.

1409981472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1409981472 is about 37549.7199989561. The cubic root of 1409981472 is about 1121.3412587773.

The spelling of 1409981472 in words is "one billion, four hundred nine million, nine hundred eighty-one thousand, four hundred seventy-two".