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120440656463 = 23347143310531
BaseRepresentation
bin111000000101011010…
…0101001001001001111
3102111212201100021112012
41300022310221021033
53433130302001323
6131155113131435
711462426455061
oct1601264511117
9374781307465
10120440656463
1147095679916
121b4133b9b7b
13b48559223a
145b87a91731
1531ed9ea678
hex1c0ad2924f

120440656463 has 16 divisors (see below), whose sum is σ = 126139320576. Its totient is φ = 114781043520.

The previous prime is 120440656429. The next prime is 120440656471. The reversal of 120440656463 is 364656044021.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-120440656463 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 120440656463.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120440616463) 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 15 ways as a sum of consecutive naturals, for example, 11431508 + ... + 11442038.

It is an arithmetic number, because the mean of its divisors is an integer number (7883707536).

Almost surely, 2120440656463 is an apocalyptic number.

120440656463 is a deficient number, since it is larger than the sum of its proper divisors (5698664113).

120440656463 is a wasteful number, since it uses less digits than its factorization.

120440656463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12334.

The product of its (nonzero) digits is 414720, while the sum is 41.

The spelling of 120440656463 in words is "one hundred twenty billion, four hundred forty million, six hundred fifty-six thousand, four hundred sixty-three".

Divisors: 1 23 347 1433 7981 10531 32959 242213 497251 3654257 11436773 15090923 84047911 347091229 5236550281 120440656463