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34105142024241 = 3891094911666327
BaseRepresentation
bin1111100000100101110001…
…11000000001100000110001
311110202102022222122200212020
413300102320320001200301
513432234312324233431
6200311404055422053
710120005133016211
oct760227070014061
9143672288580766
1034105142024241
11a959a0060a732
1239a997b084929
1316051411417c2
1485c9aa61c241
153e224662b696
hex1f04b8e01831

34105142024241 has 16 divisors (see below), whose sum is σ = 45988664976000. Its totient is φ = 22479236920448.

The previous prime is 34105142024197. The next prime is 34105142024243. The reversal of 34105142024241 is 14242024150143.

It is a cyclic number.

It is not a de Polignac number, because 34105142024241 - 223 = 34105133635633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34105142024243) 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, 2909781 + ... + 8756546.

It is an arithmetic number, because the mean of its divisors is an integer number (2874291561000).

Almost surely, 234105142024241 is an apocalyptic number.

It is an amenable number.

34105142024241 is a deficient number, since it is larger than the sum of its proper divisors (11883522951759).

34105142024241 is a wasteful number, since it uses less digits than its factorization.

34105142024241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11677368.

The product of its (nonzero) digits is 30720, while the sum is 33.

Adding to 34105142024241 its reverse (14242024150143), we get a palindrome (48347166174384).

The spelling of 34105142024241 in words is "thirty-four trillion, one hundred five billion, one hundred forty-two million, twenty-four thousand, two hundred forty-one".

Divisors: 1 3 89 267 10949 32847 974461 2923383 11666327 34998981 1038303103 3114909309 127734614323 383203842969 11368380674747 34105142024241