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12442033454399 = 171954177110989
BaseRepresentation
bin1011010100001110001011…
…1110111111110100111111
31122001110001201000012022122
42311003202332333310333
53112322241031020044
642243442525033155
72422623121252553
oct265034276776477
948043051005278
1012442033454399
113a6770058166a
12148b4239b57bb
136c338146bc23
143102aa435863
151689a4ac0dee
hexb50e2fbfd3f

12442033454399 has 16 divisors (see below), whose sum is σ = 13869843775200. Its totient is φ = 11091775970304.

The previous prime is 12442033454377. The next prime is 12442033454413. The reversal of 12442033454399 is 99345433024421.

It is a cyclic number.

It is not a de Polignac number, because 12442033454399 - 236 = 12373313977663 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 12442033454399.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12442033454369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1805804 + ... + 5305185.

It is an arithmetic number, because the mean of its divisors is an integer number (866865235950).

Almost surely, 212442033454399 is an apocalyptic number.

12442033454399 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

12442033454399 is a deficient number, since it is larger than the sum of its proper divisors (1427810320801).

12442033454399 is a wasteful number, since it uses less digits than its factorization.

12442033454399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7116442.

The product of its (nonzero) digits is 11197440, while the sum is 53.

The spelling of 12442033454399 in words is "twelve trillion, four hundred forty-two billion, thirty-three million, four hundred fifty-four thousand, three hundred ninety-nine".

Divisors: 1 17 19 323 5417 92089 102923 1749691 7110989 120886813 135108791 2296849447 38520227413 654843866021 731884320847 12442033454399