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10014131344 = 247862310369
BaseRepresentation
bin10010101001110001…
…11000010010010000
3221211220100120200111
421110320320102100
5131002104200334
64333405331104
7503105466130
oct112470702220
927756316614
1010014131344
114279797108
121b35866a94
13c378c7609
146adda0ac0
153d9250064
hex254e38490

10014131344 has 40 divisors (see below), whose sum is σ = 22178858240. Its totient is φ = 4290859008.

The previous prime is 10014131341. The next prime is 10014131353. The reversal of 10014131344 is 44313141001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10014131341) 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, 960592 + ... + 970960.

It is an arithmetic number, because the mean of its divisors is an integer number (554471456).

Almost surely, 210014131344 is an apocalyptic number.

10014131344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10014131344 is an abundant number, since it is smaller than the sum of its proper divisors (12164726896).

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

10014131344 is a wasteful number, since it uses less digits than its factorization.

10014131344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19007 (or 19001 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 10014131344 its reverse (44313141001), we get a palindrome (54327272345).

The spelling of 10014131344 in words is "ten billion, fourteen million, one hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 8623 10369 17246 20738 34492 41476 60361 68984 72583 82952 120722 137968 145166 165904 241444 290332 482888 580664 965776 1161328 89411887 178823774 357647548 625883209 715295096 1251766418 1430590192 2503532836 5007065672 10014131344