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34142430014231 = 7111937630737101
BaseRepresentation
bin1111100001101011001110…
…11010011010101100010111
311110212222120122120212000112
413300311213122122230113
513433342144040423411
6200340452114433235
710122465146503250
oct760654732325427
9143788518525015
1034142430014231
11a9737a5719490
1239b504689281b
131608804393bc6
1486070694bb27
153e31c9ea9b8b
hex1f0d6769ab17

34142430014231 has 32 divisors (see below), whose sum is σ = 46018578961920. Its totient is φ = 24523058448000.

The previous prime is 34142430014221. The next prime is 34142430014249. The reversal of 34142430014231 is 13241003424143.

It is a de Polignac number, because none of the positive numbers 2k-34142430014231 is a prime.

It is a super-2 number, since 2×341424300142312 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34142430014221) 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, 315314420 + ... + 315422681.

It is an arithmetic number, because the mean of its divisors is an integer number (1438080592560).

Almost surely, 234142430014231 is an apocalyptic number.

34142430014231 is a deficient number, since it is larger than the sum of its proper divisors (11876148947689).

34142430014231 is a wasteful number, since it uses less digits than its factorization.

34142430014231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630737175.

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 34142430014231 its reverse (13241003424143), we get a palindrome (47383433438374).

The spelling of 34142430014231 in words is "thirty-four trillion, one hundred forty-two billion, four hundred thirty million, fourteen thousand, two hundred thirty-one".

Divisors: 1 7 11 19 37 77 133 209 259 407 703 1463 2849 4921 7733 54131 630737101 4415159707 6938108111 11984004919 23337272737 48566756777 83888034433 131824054109 163360909159 256710000107 443408182003 922768378763 1796970000749 3103857274021 4877490002033 34142430014231