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2434212440241 = 317787306119813
BaseRepresentation
bin100011011011000010010…
…111100010100010110001
322121201010110011021000020
4203123002113202202301
5304340231341041431
65102132312314053
7340603024230561
oct43330227424261
98551113137006
102434212440241
1185938650a98a
123339249a2929
13148711baa99a
1485b60710da1
15434bd23a696
hex236c25e28b1

2434212440241 has 32 divisors (see below), whose sum is σ = 3442199672448. Its totient is φ = 1524832957440.

The previous prime is 2434212440239. The next prime is 2434212440269. The reversal of 2434212440241 is 1420442124342.

It is not a de Polignac number, because 2434212440241 - 21 = 2434212440239 is a prime.

It is a super-2 number, since 2×24342124402412 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2434212440741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122849451 + ... + 122869263.

It is an arithmetic number, because the mean of its divisors is an integer number (107568739764).

Almost surely, 22434212440241 is an apocalyptic number.

It is an amenable number.

2434212440241 is a deficient number, since it is larger than the sum of its proper divisors (1007987232207).

2434212440241 is a wasteful number, since it uses less digits than its factorization.

2434212440241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23681.

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 2434212440241 its reverse (1420442124342), we get a palindrome (3854654564583).

The spelling of 2434212440241 in words is "two trillion, four hundred thirty-four billion, two hundred twelve million, four hundred forty thousand, two hundred forty-one".

Divisors: 1 3 17 51 787 2361 3061 9183 13379 19813 40137 52037 59439 156111 336821 1010463 2409007 7227021 15592831 40953119 46778493 60647593 122859357 181942779 265078127 795234381 1031009081 3093027243 47729655691 143188967073 811404146747 2434212440241