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114312410101433 = 2927491845777689
BaseRepresentation
bin11001111111011101101110…
…100110001111011010111001
3112222202011022101221222112202
4121333131232212033122321
5104440343303441221213
61043042221330315545
733035541041545145
oct3177355646173271
9488664271858482
10114312410101433
1133472691424a35
12109a2616a28bb5
134ba27c9cca67b
142032a70674225
15d337dc608b58
hex67f76e98f6b9

114312410101433 has 16 divisors (see below), whose sum is σ = 118305166650000. Its totient is φ = 110323055711232.

The previous prime is 114312410101387. The next prime is 114312410101447. The reversal of 114312410101433 is 334101014213411.

It can be written as a sum of positive squares in 8 ways, for example, as 54439622329 + 114257970479104 = 233323^2 + 10689152^2 .

It is a cyclic number.

It is not a de Polignac number, because 114312410101433 - 230 = 114311336359609 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 114312410101396 and 114312410101405.

It is not an unprimeable number, because it can be changed into a prime (114312410107433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1471371653 + ... + 1471449341.

It is an arithmetic number, because the mean of its divisors is an integer number (7394072915625).

Almost surely, 2114312410101433 is an apocalyptic number.

It is an amenable number.

114312410101433 is a deficient number, since it is larger than the sum of its proper divisors (3992756548567).

114312410101433 is a wasteful number, since it uses less digits than its factorization.

114312410101433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98924.

The product of its (nonzero) digits is 3456, while the sum is 29.

Adding to 114312410101433 its reverse (334101014213411), we get a palindrome (448413424314844).

The spelling of 114312410101433 in words is "one hundred fourteen trillion, three hundred twelve billion, four hundred ten million, one hundred one thousand, four hundred thirty-three".

Divisors: 1 29 2749 18457 77689 79721 535253 2252981 50738293 213567061 1433905873 1471410497 6193444769 41583270317 3941807244877 114312410101433