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14310023120 = 2451321135409
BaseRepresentation
bin11010101001111000…
…11001111111010000
31100221021211111100022
431110330121333100
5213301331214440
610323545243012
71014421122011
oct152474317720
940837744308
1014310023120
1160836a9198
122934493468
131470908c03
1499a739008
1558b471cb5
hex354f19fd0

14310023120 has 40 divisors (see below), whose sum is σ = 33296235720. Its totient is φ = 5719633920.

The previous prime is 14310023113. The next prime is 14310023131. The reversal of 14310023120 is 2132001341.

It can be written as a sum of positive squares in 4 ways, for example, as 4748312464 + 9561710656 = 68908^2 + 97784^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37976 + ... + 173384.

It is an arithmetic number, because the mean of its divisors is an integer number (832405893).

Almost surely, 214310023120 is an apocalyptic number.

14310023120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14310023120 is an abundant number, since it is smaller than the sum of its proper divisors (18986212600).

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

14310023120 is a wasteful number, since it uses less digits than its factorization.

14310023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136743 (or 136737 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 14310023120 its reverse (2132001341), we get a palindrome (16442024461).

The spelling of 14310023120 in words is "fourteen billion, three hundred ten million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1321 2642 5284 6605 10568 13210 21136 26420 52840 105680 135409 270818 541636 677045 1083272 1354090 2166544 2708180 5416360 10832720 178875289 357750578 715501156 894376445 1431002312 1788752890 2862004624 3577505780 7155011560 14310023120