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240423224013 = 32717643349121
BaseRepresentation
bin1101111111101001010…
…1110100001011001101
3211222120111201020012100
43133322111310023031
512414341321132023
6302240544025313
723240624454030
oct3377225641315
9758514636170
10240423224013
1192a65707755
123a719302239
1319896c84a3b
14b8ca97b017
1563c21aac43
hex37fa5742cd

240423224013 has 48 divisors (see below), whose sum is σ = 420890311296. Its totient is φ = 129101783040.

The previous prime is 240423223991. The next prime is 240423224023. The reversal of 240423224013 is 310422324042.

240423224013 is a `hidden beast` number, since 2 + 4 + 0 + 423 + 224 + 0 + 13 = 666.

It is not a de Polignac number, because 240423224013 - 213 = 240423215821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240423224023) 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 47 ways as a sum of consecutive naturals, for example, 514093 + ... + 863213.

It is an arithmetic number, because the mean of its divisors is an integer number (8768548152).

Almost surely, 2240423224013 is an apocalyptic number.

It is an amenable number.

240423224013 is a deficient number, since it is larger than the sum of its proper divisors (180467087283).

240423224013 is a wasteful number, since it uses less digits than its factorization.

240423224013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349794 (or 349791 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 240423224013 its reverse (310422324042), we get a palindrome (550845548055).

The spelling of 240423224013 in words is "two hundred forty billion, four hundred twenty-three million, two hundred twenty-four thousand, thirteen".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 643 1071 1929 4501 5787 10931 13503 32793 40509 76517 98379 229551 349121 688653 1047363 2443847 3142089 5935057 7331541 17805171 21994623 41545399 53415513 124636197 224484803 373908591 673454409 1571393621 2020363227 3816241651 4714180863 11448724953 14142542589 26713691557 34346174859 80141074671 240423224013