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1244408440 = 235117093989
BaseRepresentation
bin100101000101100…
…0010101001111000
310012201120111110111
41022023002221320
510022032032230
6323251554104
742560203642
oct11213025170
93181514414
101244408440
11589488530
122a88bb934
1316aa72772
14bb3ad892
15743ad92a
hex4a2c2a78

1244408440 has 64 divisors (see below), whose sum is σ = 3059532000. Its totient is φ = 451760640.

The previous prime is 1244408411. The next prime is 1244408447. The reversal of 1244408440 is 448044421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1244408447) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 309966 + ... + 313954.

Almost surely, 21244408440 is an apocalyptic number.

1244408440 is a gapful number since it is divisible by the number (10) 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 1244408440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529766000).

1244408440 is an abundant number, since it is smaller than the sum of its proper divisors (1815123560).

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

1244408440 is a wasteful number, since it uses less digits than its factorization.

1244408440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4720 (or 4716 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 31.

The square root of 1244408440 is about 35276.1738288041. The cubic root of 1244408440 is about 1075.6087239279.

The spelling of 1244408440 in words is "one billion, two hundred forty-four million, four hundred eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 709 1418 2836 3545 3989 5672 7090 7799 7978 14180 15598 15956 19945 28360 31196 31912 38995 39890 43879 62392 77990 79780 87758 155980 159560 175516 219395 311960 351032 438790 877580 1755160 2828201 5656402 11312804 14141005 22625608 28282010 31110211 56564020 62220422 113128040 124440844 155551055 248881688 311102110 622204220 1244408440