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1244231440 = 245102115233
BaseRepresentation
bin100101000101001…
…0111011100010000
310012201020111122221
41022022113130100
510022010401230
6323244110424
742555535624
oct11212273420
93181214587
101244231440
11589377551
122a8835414
1316aa1002a
14bb365184
157437627a
hex4a297710

1244231440 has 40 divisors (see below), whose sum is σ = 2895861528. Its totient is φ = 497172480.

The previous prime is 1244231431. The next prime is 1244231441. The reversal of 1244231440 is 441324421.

It can be written as a sum of positive squares in 4 ways, for example, as 36529936 + 1207701504 = 6044^2 + 34752^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×12442314402 = 3096223752568947200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1244231441) 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 7 ways as a sum of consecutive naturals, for example, 74064 + ... + 89296.

Almost surely, 21244231440 is an apocalyptic number.

1244231440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1244231440 is an abundant number, since it is smaller than the sum of its proper divisors (1651630088).

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

1244231440 is a wasteful number, since it uses less digits than its factorization.

1244231440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16267 (or 16261 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 1244231440 is about 35273.6649641060. The cubic root of 1244231440 is about 1075.5577246565.

Adding to 1244231440 its reverse (441324421), we get a palindrome (1685555861).

The spelling of 1244231440 in words is "one billion, two hundred forty-four million, two hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1021 2042 4084 5105 8168 10210 15233 16336 20420 30466 40840 60932 76165 81680 121864 152330 243728 304660 609320 1218640 15552893 31105786 62211572 77764465 124423144 155528930 248846288 311057860 622115720 1244231440