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34041121243031 = 723219946195223
BaseRepresentation
bin1111011110101110100001…
…11100000111111110010111
311110112022002021021001012102
413233113100330013332113
513430212204014234111
6200222135240112315
710112250501243260
oct757272074077627
9143468067231172
1034041121243031
11a9348385451a1
12399949276569b
1315cc0aa698046
14859855b65967
153e074adeb13b
hex1ef5d0f07f97

34041121243031 has 24 divisors (see below), whose sum is σ = 40873534195200. Its totient is φ = 27769241410416.

The previous prime is 34041121243027. The next prime is 34041121243049. The reversal of 34041121243031 is 13034212114043.

It is not a de Polignac number, because 34041121243031 - 22 = 34041121243027 is a prime.

It is a super-2 number, since 2×340411212430312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34041121242985 and 34041121243003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34041121243331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22360715 + ... + 23834508.

It is an arithmetic number, because the mean of its divisors is an integer number (1703063924800).

Almost surely, 234041121243031 is an apocalyptic number.

34041121243031 is a deficient number, since it is larger than the sum of its proper divisors (6832412952169).

34041121243031 is a wasteful number, since it uses less digits than its factorization.

34041121243031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46195475 (or 46195452 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 34041121243031 its reverse (13034212114043), we get a palindrome (47075333357074).

The spelling of 34041121243031 in words is "thirty-four trillion, forty-one billion, one hundred twenty-one million, two hundred forty-three thousand, thirty-one".

Divisors: 1 7 23 161 199 529 1393 3703 4577 32039 105271 736897 46195223 323366561 1062490129 7437430903 9192849377 24437272967 64349945639 171060910769 211435535671 1480048749697 4863017320433 34041121243031