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34042314104241 = 3223727107187133
BaseRepresentation
bin1111011110110000110000…
…00010100001110110110001
311110112102011101211200011020
413233120120002201312301
513430222124402313431
6200222453451210053
710112322164346612
oct757303002416661
9143472141750136
1034042314104241
11a93529a915503
123999766146929
1315cc23a860091
1485992a357c09
153e07ba9c6696
hex1ef6180a1db1

34042314104241 has 16 divisors (see below), whose sum is σ = 45411960481344. Its totient is φ = 22683772764224.

The previous prime is 34042314104237. The next prime is 34042314104419. The reversal of 34042314104241 is 14240141324043.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 34042314104241 - 22 = 34042314104237 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34042314104941) 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, 181821511 + ... + 182008643.

It is an arithmetic number, because the mean of its divisors is an integer number (2838247530084).

Almost surely, 234042314104241 is an apocalyptic number.

It is an amenable number.

34042314104241 is a deficient number, since it is larger than the sum of its proper divisors (11369646377103).

34042314104241 is a wasteful number, since it uses less digits than its factorization.

34042314104241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216480.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 34042314104241 its reverse (14240141324043), we get a palindrome (48282455428284).

The spelling of 34042314104241 in words is "thirty-four trillion, forty-two billion, three hundred fourteen million, one hundred four thousand, two hundred forty-one".

Divisors: 1 3 2237 6711 27107 81321 187133 561399 60638359 181915077 418616521 1255849563 5072614231 15217842693 11347438034747 34042314104241