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34124100142143 = 3112251194593409
BaseRepresentation
bin1111100001001001000101…
…10111100000010000111111
311110211020021012200212120010
413300210202313200100333
513433042124114022033
6200324221205554303
710121246004245034
oct760444267402077
9143736235625503
1034124100142143
11a966a49a0a270
1239b1590115993
131606b72a06b4b
1485d8883b338b
153e29a5b91863
hex1f0922de043f

34124100142143 has 16 divisors (see below), whose sum is σ = 49635286041600. Its totient is φ = 20681176442880.

The previous prime is 34124100142123. The next prime is 34124100142159.

It is a happy number.

34124100142143 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34124100142143 - 212 = 34124100138047 is a prime.

It is a super-2 number, since 2×341241001421432 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34124100142143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34124100142123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5132223 + ... + 9725631.

It is an arithmetic number, because the mean of its divisors is an integer number (3102205377600).

Almost surely, 234124100142143 is an apocalyptic number.

34124100142143 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34124100142143 is a deficient number, since it is larger than the sum of its proper divisors (15511185899457).

34124100142143 is a wasteful number, since it uses less digits than its factorization.

34124100142143 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4818542.

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 34124100 and 142143, that added together give a palindrome (34266243).

The spelling of 34124100142143 in words is "thirty-four trillion, one hundred twenty-four billion, one hundred million, one hundred forty-two thousand, one hundred forty-three".

Divisors: 1 3 11 33 225119 675357 2476309 4593409 7428927 13780227 50527499 151582497 1034063640671 3102190922013 11374700047381 34124100142143