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434112044330224 = 241311871758278969
BaseRepresentation
bin110001010110100101001011…
…0001100011110110011110000
32002221001201001202211021210101
41202231022112030132303300
5423344442431322031344
64135140153043042144
7160303363101411601
oct14255122614366360
92087051052737711
10434112044330224
1111635997a823a37
12408319a5370354
131582c78967b480
14792b1c6831da8
15352c3b56c79d4
hex18ad29631ecf0

434112044330224 has 40 divisors (see below), whose sum is σ = 906554570700240. Its totient is φ = 200190610180608.

The previous prime is 434112044330219. The next prime is 434112044330297. The reversal of 434112044330224 is 422033440211434.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 878892589 + ... + 879386380.

It is an arithmetic number, because the mean of its divisors is an integer number (22663864267506).

Almost surely, 2434112044330224 is an apocalyptic number.

It is an amenable number.

434112044330224 is an abundant number, since it is smaller than the sum of its proper divisors (472442526370016).

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

434112044330224 is a wasteful number, since it uses less digits than its factorization.

434112044330224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758280177 (or 1758280171 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 37.

Adding to 434112044330224 its reverse (422033440211434), we get a palindrome (856145484541658).

The spelling of 434112044330224 in words is "four hundred thirty-four trillion, one hundred twelve billion, forty-four million, three hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 1187 2374 4748 9496 15431 18992 30862 61724 123448 246896 1758278969 3516557938 7033115876 14066231752 22857626597 28132463504 45715253194 91430506388 182861012776 365722025552 2087077136203 4174154272406 8348308544812 16696617089624 27132002770639 33393234179248 54264005541278 108528011082556 217056022165112 434112044330224