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114042420314133 = 3432428136409117
BaseRepresentation
bin11001111011100010010001…
…111100111100000000010101
3112221210100102100112201100220
4121323202101330330000111
5104421432334100023013
61042314210432224553
733010202326325133
oct3173422174740025
9487710370481326
10114042420314133
1133379134207713
121095a22799b159
134b832006cb48c
14202397b078753
15d2b7898deb23
hex67b891f3c015

114042420314133 has 16 divisors (see below), whose sum is σ = 155599171776576. Its totient is φ = 74257120264320.

The previous prime is 114042420314107. The next prime is 114042420314153. The reversal of 114042420314133 is 331413024240411.

It is a happy number.

It is not a de Polignac number, because 114042420314133 - 25 = 114042420314101 is a prime.

It is a super-2 number, since 2×1140424203141332 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114042420314094 and 114042420314103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114042420314153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15072310 + ... + 21336807.

It is an arithmetic number, because the mean of its divisors is an integer number (9724948236036).

Almost surely, 2114042420314133 is an apocalyptic number.

It is an amenable number.

114042420314133 is a deficient number, since it is larger than the sum of its proper divisors (41556751462443).

114042420314133 is a wasteful number, since it uses less digits than its factorization.

114042420314133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36433444.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 114042420314133 its reverse (331413024240411), we get a palindrome (445455444554544).

The spelling of 114042420314133 in words is "one hundred fourteen trillion, forty-two billion, four hundred twenty million, three hundred fourteen thousand, one hundred thirty-three".

Divisors: 1 3 43 129 24281 72843 1044083 3132249 36409117 109227351 1565592031 4696776093 884049769877 2652149309631 38014140104711 114042420314133