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34301022432114 = 23731311073955667
BaseRepresentation
bin1111100110010010101000…
…10000011110101101110010
311111110010221020012102100110
413303021110100132231302
513443441443220311424
6200541401104402150
710140111212014434
oct763112420365562
9144403836172313
1034301022432114
11aa24a88a34339
123a1b927016356
13161a759b28ba9
1486826d538654
153e73ad0a5c29
hex1f325441eb72

34301022432114 has 64 divisors (see below), whose sum is σ = 70080436293120. Its totient is φ = 11189721029760.

The previous prime is 34301022432059. The next prime is 34301022432169. The reversal of 34301022432114 is 41123422010343.

It is an interprime number because it is at equal distance from previous prime (34301022432059) and next prime (34301022432169).

It is an unprimeable number.

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, 616154509 + ... + 616210175.

It is an arithmetic number, because the mean of its divisors is an integer number (1095006817080).

Almost surely, 234301022432114 is an apocalyptic number.

34301022432114 is an abundant number, since it is smaller than the sum of its proper divisors (35779413861006).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34301022432114 is a wasteful number, since it uses less digits than its factorization.

34301022432114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66615.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 34301022432114 its reverse (41123422010343), we get a palindrome (75424444442457).

The spelling of 34301022432114 in words is "thirty-four trillion, three hundred one billion, twenty-two million, four hundred thirty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 73 131 146 219 262 393 438 786 9563 10739 19126 21478 28689 32217 55667 57378 64434 111334 167001 334002 783947 1406809 1567894 2351841 2813618 4063691 4220427 4703682 7292377 8127382 8440854 12191073 14584754 21877131 24382146 43754262 102697057 205394114 308091171 532343521 597807913 616182342 1064687042 1195615826 1597030563 1793423739 3194061126 3586847478 43639977649 78312836603 87279955298 130919932947 156625673206 234938509809 261839865894 469877019618 5716837072019 11433674144038 17150511216057 34301022432114