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10440324144 = 243353455989
BaseRepresentation
bin10011011100100101…
…01011010000110000
3222221121022102022000
421232102223100300
5132340210333034
64443552214000
7516502201545
oct115622532060
928847272260
1010440324144
114478322068
12203453a300
13ca4ca9cc3
14710822bcc
15411889599
hex26e4ab430

10440324144 has 80 divisors (see below), whose sum is σ = 30533090400. Its totient is φ = 3414438144.

The previous prime is 10440324109. The next prime is 10440324187. The reversal of 10440324144 is 44142304401.

10440324144 is a `hidden beast` number, since 10 + 4 + 403 + 241 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205099 + ... + 250890.

It is an arithmetic number, because the mean of its divisors is an integer number (381663630).

Almost surely, 210440324144 is an apocalyptic number.

It is an amenable number.

10440324144 is an abundant number, since it is smaller than the sum of its proper divisors (20092766256).

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

10440324144 is a wasteful number, since it uses less digits than its factorization.

10440324144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456059 (or 456047 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 10440324144 its reverse (44142304401), we get a palindrome (54582628545).

The spelling of 10440324144 in words is "ten billion, four hundred forty million, three hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 106 108 144 159 212 216 318 424 432 477 636 848 954 1272 1431 1908 2544 2862 3816 5724 7632 11448 22896 455989 911978 1367967 1823956 2735934 3647912 4103901 5471868 7295824 8207802 10943736 12311703 16415604 21887472 24167417 24623406 32831208 48334834 49246812 65662416 72502251 96669668 98493624 145004502 193339336 196987248 217506753 290009004 386678672 435013506 580018008 652520259 870027012 1160036016 1305040518 1740054024 2610081036 3480108048 5220162072 10440324144