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14142401233344 = 26338184259973
BaseRepresentation
bin1100110111001100100011…
…0011010100000111000000
31212002000000020222010102000
43031303020303110013000
53323202114203431334
650024532431424000
72656516613021136
oct315631063240700
955060006863360
1014142401233344
11456283889399a
121704a85685000
137b7813144077
1436c6d295b756
15197d2283b299
hexcdcc8cd41c0

14142401233344 has 56 divisors (see below), whose sum is σ = 41576040667920. Its totient is φ = 4714133743872.

The previous prime is 14142401233297. The next prime is 14142401233391. The reversal of 14142401233344 is 44333210424141.

14142401233344 is a `hidden beast` number, since 1 + 4 + 1 + 42 + 40 + 1 + 233 + 344 = 666.

It is an interprime number because it is at equal distance from previous prime (14142401233297) and next prime (14142401233391).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14142401233299 and 14142401233308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4092128259 + ... + 4092131714.

Almost surely, 214142401233344 is an apocalyptic number.

It is an amenable number.

14142401233344 is an abundant number, since it is smaller than the sum of its proper divisors (27433639434576).

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

14142401233344 is an equidigital number, since it uses as much as digits as its factorization.

14142401233344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8184259994 (or 8184259978 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 14142401233344 its reverse (44333210424141), we get a palindrome (58475611657485).

The spelling of 14142401233344 in words is "fourteen trillion, one hundred forty-two billion, four hundred one million, two hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 8184259973 16368519946 24552779919 32737039892 49105559838 65474079784 73658339757 98211119676 130948159568 147316679514 196422239352 220975019271 261896319136 294633359028 392844478704 441950038542 523792638272 589266718056 785688957408 883900077084 1178533436112 1571377914816 1767800154168 2357066872224 3535600308336 4714133744448 7071200616672 14142401233344