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2432140034334 = 233891723604787
BaseRepresentation
bin100011011001000110110…
…101111100000100011110
322121111210000120010112220
4203121012311330010132
5304322010322044314
65101150521410210
7340500461122053
oct43310665740436
98544700503486
102432140034334
1185851270972a
12333446939966
131484717319ba
1485a053a902a
15433eb3243a9
hex23646d7c11e

2432140034334 has 32 divisors (see below), whose sum is σ = 4879623116160. Its totient is φ = 808158597792.

The previous prime is 2432140034329. The next prime is 2432140034339. The reversal of 2432140034334 is 4334300412342.

It is a happy number.

2432140034334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2432140034329) and next prime (2432140034339).

It is a super-2 number, since 2×24321400343342 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2432140034295 and 2432140034304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2432140034339) 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, 3719089 + ... + 4323875.

It is an arithmetic number, because the mean of its divisors is an integer number (152488222380).

Almost surely, 22432140034334 is an apocalyptic number.

2432140034334 is an abundant number, since it is smaller than the sum of its proper divisors (2447483081826).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2432140034334 is a wasteful number, since it uses less digits than its factorization.

2432140034334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606904.

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 2432140034334 its reverse (4334300412342), we get a palindrome (6766440446676).

The spelling of 2432140034334 in words is "two trillion, four hundred thirty-two billion, one hundred forty million, thirty-four thousand, three hundred thirty-four".

Divisors: 1 2 3 6 389 778 1167 1723 2334 3446 5169 10338 604787 670247 1209574 1340494 1814361 2010741 3628722 4021482 235262143 470524286 705786429 1042048001 1411572858 2084096002 3126144003 6252288006 405356672389 810713344778 1216070017167 2432140034334