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34143333334143 = 31129239771487987
BaseRepresentation
bin1111100001101100111010…
…10000010011110001111111
311110220001220121100020222120
413300312131100103301333
513433401021313143033
6200341121504014023
710122526425550065
oct760663520236177
9143801817306876
1034143333334143
11a974119609070
1239b5259301313
131608919580727
148607908d0035
153e322e4401b3
hex1f0d9d413c7f

34143333334143 has 32 divisors (see below), whose sum is σ = 51377725820160. Its totient is φ = 19978533308160.

The previous prime is 34143333334057. The next prime is 34143333334171.

34143333334143 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34143333334143 - 214 = 34143333317759 is a prime.

It is a super-2 number, since 2×341433333341432 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34143333334095 and 34143333334104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34143333334843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22201996 + ... + 23689982.

It is an arithmetic number, because the mean of its divisors is an integer number (1605553931880).

Almost surely, 234143333334143 is an apocalyptic number.

34143333334143 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34143333334143 is a deficient number, since it is larger than the sum of its proper divisors (17234392486017).

34143333334143 is a wasteful number, since it uses less digits than its factorization.

34143333334143 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512007.

The product of its digits is 1679616, while the sum is 42.

It can be divided in two parts, 3414333 and 3334143, that added together give a palindrome (6748476).

The spelling of 34143333334143 in words is "thirty-four trillion, one hundred forty-three billion, three hundred thirty-three million, three hundred thirty-four thousand, one hundred forty-three".

Divisors: 1 3 11 29 33 87 319 957 23977 71931 263747 695333 791241 1487987 2085999 4463961 7648663 16367857 22945989 43151623 49103571 129454869 474667853 1424003559 35677464299 107032392897 392452107289 1034646464671 1177356321867 3103939394013 11381111111381 34143333334143