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14246424465 = 3571389117269
BaseRepresentation
bin11010100010010011…
…10010111110010001
31100202212011100101120
431101021302332101
5213134041040330
610313354152453
71013016416130
oct152111627621
940685140346
1014246424465
11605080a619
122917122729
13146069bc80
14992101917
15585aacc10
hex351272f91

14246424465 has 64 divisors (see below), whose sum is σ = 28369958400. Its totient is φ = 5944080384.

The previous prime is 14246424421. The next prime is 14246424469. The reversal of 14246424465 is 56442464241.

14246424465 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14246424465 - 28 = 14246424209 is a prime.

It is a super-2 number, since 2×142464244652 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (14246424469) 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 63 ways as a sum of consecutive naturals, for example, 62851 + ... + 180119.

It is an arithmetic number, because the mean of its divisors is an integer number (443280600).

Almost surely, 214246424465 is an apocalyptic number.

14246424465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14246424465 is a deficient number, since it is larger than the sum of its proper divisors (14123533935).

14246424465 is a wasteful number, since it uses less digits than its factorization.

14246424465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117386.

The product of its digits is 737280, while the sum is 42.

The spelling of 14246424465 in words is "fourteen billion, two hundred forty-six million, four hundred twenty-four thousand, four hundred sixty-five".

Divisors: 1 3 5 7 13 15 21 35 39 65 89 91 105 195 267 273 445 455 623 1157 1335 1365 1869 3115 3471 5785 8099 9345 17355 24297 40495 117269 121485 351807 586345 820883 1524497 1759035 2462649 4104415 4573491 7622485 10436941 10671479 12313245 22867455 31310823 32014437 52184705 53357395 73058587 135680233 156554115 160072185 219175761 365292935 407040699 678401165 949761631 1095878805 2035203495 2849284893 4748808155 14246424465