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14123344040 = 2351337971663
BaseRepresentation
bin11010010011101000…
…10010000010101000
31100110021120012210022
431021310102002220
5212411034002130
610253240140012
71006663305101
oct151164220250
940407505708
1014123344040
115a98294463
1228a1a67608
131441036c10
1497da233a8
15579d997e5
hex349d120a8

14123344040 has 64 divisors (see below), whose sum is σ = 34312723200. Its totient is φ = 5200941312.

The previous prime is 14123344013. The next prime is 14123344049. The reversal of 14123344040 is 4044332141.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (14123344049) 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, 161249 + ... + 232911.

It is an arithmetic number, because the mean of its divisors is an integer number (536136300).

Almost surely, 214123344040 is an apocalyptic number.

14123344040 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 14123344040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17156361600).

14123344040 is an abundant number, since it is smaller than the sum of its proper divisors (20189379160).

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

14123344040 is a wasteful number, since it uses less digits than its factorization.

14123344040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72066 (or 72062 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 14123344040 its reverse (4044332141), we get a palindrome (18167676181).

The spelling of 14123344040 in words is "fourteen billion, one hundred twenty-three million, three hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 379 520 758 1516 1895 3032 3790 4927 7580 9854 15160 19708 24635 39416 49270 71663 98540 143326 197080 286652 358315 573304 716630 931619 1433260 1863238 2866520 3726476 4658095 7452952 9316190 18632380 27160277 37264760 54320554 108641108 135801385 217282216 271602770 353083601 543205540 706167202 1086411080 1412334404 1765418005 2824668808 3530836010 7061672020 14123344040