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34142321130119 = 4137338315593739
BaseRepresentation
bin1111100001101011000001…
…11011000011101010000111
311110212222022001200222002122
413300311200323003222013
513433341433202130434
6200340433225000155
710122462355136666
oct760654073035207
9143788261628078
1034142321130119
11a97374a20a214
1239b501632305b
1316087b795c737
148606d62c6ddd
153e31c064cc2e
hex1f0d60ec3a87

34142321130119 has 32 divisors (see below), whose sum is σ = 35192353996800. Its totient is φ = 33103433744640.

The previous prime is 34142321130053. The next prime is 34142321130173. The reversal of 34142321130119 is 91103112324143.

It is not a de Polignac number, because 34142321130119 - 244 = 16550135085703 is a prime.

It is a super-2 number, since 2×341423211301192 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34142321130199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9131402552 + ... + 9131406290.

It is an arithmetic number, because the mean of its divisors is an integer number (1099761062400).

Almost surely, 234142321130119 is an apocalyptic number.

34142321130119 is a deficient number, since it is larger than the sum of its proper divisors (1050032866681).

34142321130119 is a wasteful number, since it uses less digits than its factorization.

34142321130119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6095.

The product of its (nonzero) digits is 15552, while the sum is 35.

The spelling of 34142321130119 in words is "thirty-four trillion, one hundred forty-two billion, three hundred twenty-one million, one hundred thirty thousand, one hundred nineteen".

Divisors: 1 41 373 383 1559 3739 15293 15703 63919 142859 153299 581507 597097 1394647 1432037 5829101 5857219 23841787 24480977 57180527 58713517 222717181 238993141 534149801 2174254673 2232545683 9131404421 21900141841 89144441593 91534373003 832739539759 34142321130119