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13440054738 = 23111923465989
BaseRepresentation
bin11001000010001011…
…01111010111010010
31021200122211112002010
430201011233113102
5210011123222423
610101351003350
7654025403025
oct144105572722
937618745063
1013440054738
115777619060
122731069556
1313625c8a16
14916d991bc
15539dc8693
hex32116f5d2

13440054738 has 64 divisors (see below), whose sum is σ = 32209228800. Its totient is φ = 3690624960.

The previous prime is 13440054737. The next prime is 13440054763. The reversal of 13440054738 is 83745004431.

13440054738 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13440054696 and 13440054705.

It is not an unprimeable number, because it can be changed into a prime (13440054731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204153 + ... + 261836.

It is an arithmetic number, because the mean of its divisors is an integer number (503269200).

Almost surely, 213440054738 is an apocalyptic number.

13440054738 is an abundant number, since it is smaller than the sum of its proper divisors (18769174062).

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

13440054738 is a wasteful number, since it uses less digits than its factorization.

13440054738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466047.

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 13440054738 in words is "thirteen billion, four hundred forty million, fifty-four thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 11 19 22 23 33 38 46 57 66 69 114 138 209 253 418 437 506 627 759 874 1254 1311 1518 2622 4807 9614 14421 28842 465989 931978 1397967 2795934 5125879 8853791 10251758 10717747 15377637 17707582 21435494 26561373 30755274 32153241 53122746 64306482 97391701 117895217 194783402 203637193 235790434 292175103 353685651 407274386 584350206 610911579 707371302 1221823158 2240009123 4480018246 6720027369 13440054738