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34554430113341 = 2353731776121863
BaseRepresentation
bin1111101101101010101001…
…00010000100011000111101
311112100101000122110102022112
413312311110202010120331
514012114433102111331
6201254030330423405
710164321663533045
oct766652442043075
9145311018412275
1034554430113341
11100124a6a6a966
123a60a68891b65
131638612b9cbb8
1487662c756725
153edc9014332b
hex1f6d5488463d

34554430113341 has 32 divisors (see below), whose sum is σ = 37244161884672. Its totient is φ = 31980950876160.

The previous prime is 34554430113331. The next prime is 34554430113361. The reversal of 34554430113341 is 14331103445543.

It is a cyclic number.

It is not a de Polignac number, because 34554430113341 - 214 = 34554430096957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34554430113311) 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, 1580487176 + ... + 1580509038.

It is an arithmetic number, because the mean of its divisors is an integer number (1163880058896).

Almost surely, 234554430113341 is an apocalyptic number.

It is an amenable number.

34554430113341 is a deficient number, since it is larger than the sum of its proper divisors (2689731771331).

34554430113341 is a wasteful number, since it uses less digits than its factorization.

34554430113341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39773.

The product of its (nonzero) digits is 518400, while the sum is 41.

Adding to 34554430113341 its reverse (14331103445543), we get a palindrome (48885533558884).

The spelling of 34554430113341 in words is "thirty-four trillion, five hundred fifty-four billion, four hundred thirty million, one hundred thirteen thousand, three hundred forty-one".

Divisors: 1 23 53 73 1219 1679 3869 17761 21863 88987 408503 502849 941333 1158739 1296553 1595999 21650659 26650997 29820719 36707977 68717309 84587947 388308743 1580498107 1945522781 8931101089 20580363379 28346538239 473348357717 651970379497 1502366526667 34554430113341