Search a number
-
+
2340400040432 = 24167038757409
BaseRepresentation
bin100010000011101010101…
…101101000100111110000
322021201222111120120111222
4202003222231220213300
5301321114402243212
64551055343124212
7331042203052016
oct42035255504760
98251874516458
102340400040432
11822615899453
123197032a3668
1313c91129c33c
14813c13748b6
1540d2c343c72
hex220eab689f0

2340400040432 has 20 divisors (see below), whose sum is σ = 4534797075840. Its totient is φ = 1170129827328.

The previous prime is 2340400040411. The next prime is 2340400040441.

2340400040432 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 4111457 + ... + 4645952.

It is an arithmetic number, because the mean of its divisors is an integer number (226739853792).

Almost surely, 22340400040432 is an apocalyptic number.

It is an amenable number.

2340400040432 is a deficient number, since it is larger than the sum of its proper divisors (2194397035408).

2340400040432 is a wasteful number, since it uses less digits than its factorization.

2340400040432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8774120 (or 8774114 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

It can be divided in two parts, 23404000 and 40432, that added together give a palindrome (23444432).

The spelling of 2340400040432 in words is "two trillion, three hundred forty billion, four hundred million, forty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 16703 33406 66812 133624 267248 8757409 17514818 35029636 70059272 140118544 146275002527 292550005054 585100010108 1170200020216 2340400040432