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34014434146 = 2711276926111
BaseRepresentation
bin11111101011011010…
…110001001101100010
310020210112011021202021
4133223122301031202
51024130143343041
623343115212054
72312623630330
oct375332611542
9106715137667
1034014434146
1113475296900
12671344702a
133290c9b714
141909678b50
15d412a0cd1
hex7eb6b1362

34014434146 has 48 divisors (see below), whose sum is σ = 64179118080. Its totient is φ = 13234636800.

The previous prime is 34014434059. The next prime is 34014434149. The reversal of 34014434146 is 64143441043.

It is not an unprimeable number, because it can be changed into a prime (34014434149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1289631 + ... + 1315741.

It is an arithmetic number, because the mean of its divisors is an integer number (1337064960).

Almost surely, 234014434146 is an apocalyptic number.

34014434146 is a deficient number, since it is larger than the sum of its proper divisors (30164683934).

34014434146 is a wasteful number, since it uses less digits than its factorization.

34014434146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26911 (or 26900 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 34014434146 its reverse (64143441043), we get a palindrome (98157875189).

The spelling of 34014434146 in words is "thirty-four billion, fourteen million, four hundred thirty-four thousand, one hundred forty-six".

Divisors: 1 2 7 11 14 22 77 121 154 242 769 847 1538 1694 5383 8459 10766 16918 26111 52222 59213 93049 118426 182777 186098 287221 365554 574442 651343 1302686 2010547 3159431 4021094 6318862 20079359 22116017 40158718 44232034 140555513 220872949 281111026 441745898 1546110643 2429602439 3092221286 4859204878 17007217073 34014434146