Search a number
-
+
2344314134432 = 25179409272719
BaseRepresentation
bin100010000111010100000…
…000101101111110100000
322022010002021122011002102
4202013110000231332200
5301402123404300212
64552544003505532
7331241201233544
oct42072400557640
98263067564072
102344314134432
11824244238186
1231a4160882a8
131400b61733aa
1481673125a24
1540eaac9a5c2
hex221d402dfa0

2344314134432 has 24 divisors (see below), whose sum is σ = 4641152644800. Its totient is φ = 1165608700864.

The previous prime is 2344314134401. The next prime is 2344314134453.

2344314134432 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 204630632 + ... + 204642087.

It is an arithmetic number, because the mean of its divisors is an integer number (193381360200).

Almost surely, 22344314134432 is an apocalyptic number.

It is an amenable number.

2344314134432 is a deficient number, since it is larger than the sum of its proper divisors (2296838510368).

2344314134432 is a wasteful number, since it uses less digits than its factorization.

2344314134432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409272908 (or 409272900 counting only the distinct ones).

The product of its digits is 331776, while the sum is 38.

The spelling of 2344314134432 in words is "two trillion, three hundred forty-four billion, three hundred fourteen million, one hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 179 358 716 1432 2864 5728 409272719 818545438 1637090876 3274181752 6548363504 13096727008 73259816701 146519633402 293039266804 586078533608 1172157067216 2344314134432