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1240410144 = 25388314633
BaseRepresentation
bin100100111101111…
…0010100000100000
310012110001100211110
41021323302200200
510020021111034
6323030143320
742511212051
oct11173624040
93173040743
101240410144
115871a7556
122a74b1b40
13169ca28cc
14baa4c728
1573d6dde9
hex49ef2820

1240410144 has 48 divisors (see below), whose sum is σ = 3259986912. Its totient is φ = 412973568.

The previous prime is 1240410139. The next prime is 1240410167. The reversal of 1240410144 is 4410140421.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1240410144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77452 + ... + 92084.

It is an arithmetic number, because the mean of its divisors is an integer number (67916394).

Almost surely, 21240410144 is an apocalyptic number.

It is an amenable number.

1240410144 is an abundant number, since it is smaller than the sum of its proper divisors (2019576768).

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

1240410144 is a wasteful number, since it uses less digits than its factorization.

1240410144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15529 (or 15521 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 1240410144 is about 35219.4568953015. The cubic root of 1240410144 is about 1074.4555076371.

Adding to 1240410144 its reverse (4410140421), we get a palindrome (5650550565).

The spelling of 1240410144 in words is "one billion, two hundred forty million, four hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 883 1766 2649 3532 5298 7064 10596 14128 14633 21192 28256 29266 42384 43899 58532 84768 87798 117064 175596 234128 351192 468256 702384 1404768 12920939 25841878 38762817 51683756 77525634 103367512 155051268 206735024 310102536 413470048 620205072 1240410144