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34142244404232 = 23317330725304497
BaseRepresentation
bin1111100001101010111000…
…10110010111110000001000
311110212222002201022212222010
413300311130112113300020
513433341304031413412
6200340421444255520
710122460434031236
oct760653426276010
9143788081285863
1034142244404232
11a97370a974998
1239b4bb46a15a0
1316087a4aa76c3
148606ca033956
153e31b8a4433c
hex1f0d5c597c08

34142244404232 has 64 divisors (see below), whose sum is σ = 90403861734720. Its totient is φ = 10708052963328.

The previous prime is 34142244404209. The next prime is 34142244404239. The reversal of 34142244404232 is 23240444224143.

It is a super-2 number, since 2×341422444042322 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34142244404239) 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, 11302993 + ... + 14001504.

It is an arithmetic number, because the mean of its divisors is an integer number (1412560339605).

Almost surely, 234142244404232 is an apocalyptic number.

It is an amenable number.

34142244404232 is an abundant number, since it is smaller than the sum of its proper divisors (56261617330488).

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

34142244404232 is a wasteful number, since it uses less digits than its factorization.

34142244404232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25307830 (or 25307826 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 39.

Adding to 34142244404232 its reverse (23240444224143), we get a palindrome (57382688628375).

The spelling of 34142244404232 in words is "thirty-four trillion, one hundred forty-two billion, two hundred forty-four million, four hundred four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 3307 6614 9921 13228 19842 26456 39684 56219 79368 112438 168657 224876 337314 449752 674628 1349256 25304497 50608994 75913491 101217988 151826982 202435976 303653964 430176449 607307928 860352898 1290529347 1720705796 2581058694 3441411592 5162117388 10324234776 83681971579 167363943158 251045914737 334727886316 502091829474 669455772632 1004183658948 1422593516843 2008367317896 2845187033686 4267780550529 5690374067372 8535561101058 11380748134744 17071122202116 34142244404232