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2014420334031 = 327298837124769
BaseRepresentation
bin11101010100000100110…
…011101111010111001111
321010120120102020201102200
4131110010303233113033
5231001013101142111
64141224550452543
7265352133215160
oct35240463572717
97116512221380
102014420334031
11707346843216
122864a9364153
13117c60c83cc1
146d6d9b01767
15375ede8e256
hex1d504cef5cf

2014420334031 has 48 divisors (see below), whose sum is σ = 3440477851200. Its totient is φ = 1111269648384.

The previous prime is 2014420334027. The next prime is 2014420334033. The reversal of 2014420334031 is 1304330244102.

2014420334031 is a `hidden beast` number, since 201 + 4 + 4 + 20 + 33 + 403 + 1 = 666.

It is not a de Polignac number, because 2014420334031 - 22 = 2014420334027 is a prime.

It is a super-2 number, since 2×20144203340312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2014420333986 and 2014420334004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014420334033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16082815 + ... + 16207583.

It is an arithmetic number, because the mean of its divisors is an integer number (71676621900).

Almost surely, 22014420334031 is an apocalyptic number.

2014420334031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2014420334031 is a deficient number, since it is larger than the sum of its proper divisors (1426057517169).

2014420334031 is a wasteful number, since it uses less digits than its factorization.

2014420334031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133648 (or 133645 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2014420334031 its reverse (1304330244102), we get a palindrome (3318750578133).

The spelling of 2014420334031 in words is "two trillion, fourteen billion, four hundred twenty million, three hundred thirty-four thousand, thirty-one".

Divisors: 1 3 7 9 21 29 63 87 203 261 609 1827 8837 26511 61859 79533 124769 185577 256273 374307 556731 768819 873383 1122921 1793911 2306457 2620149 3618301 5381733 7860447 10854903 16145199 25328107 32564709 75984321 227952963 1102583653 3307750959 7718085571 9923252877 23154256713 31974925937 69462770139 95924777811 223824481559 287774333433 671473444677 2014420334031