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264342401002144 = 2510727191003507
BaseRepresentation
bin111100000110101100000010…
…111010010010101010100000
31021122221212221102121101110201
4330012230002322102222200
5234121441214124032034
62334113120023434544
7106452052060052053
oct7406540272225240
91248855842541421
10264342401002144
1177255a89a78853
12257933b32b5a54
13b4664c6093a7a
14493c351c0aa9a
152086244966014
hexf06b02e92aa0

264342401002144 has 72 divisors (see below), whose sum is σ = 526064503124160. Its totient is φ = 130753716917376.

The previous prime is 264342401002103. The next prime is 264342401002189. The reversal of 264342401002144 is 441200104243462.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 262916839 + ... + 263920345.

It is an arithmetic number, because the mean of its divisors is an integer number (7306451432280).

Almost surely, 2264342401002144 is an apocalyptic number.

It is an amenable number.

264342401002144 is a deficient number, since it is larger than the sum of its proper divisors (261722102122016).

264342401002144 is a wasteful number, since it uses less digits than its factorization.

264342401002144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004450 (or 1004335 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 37.

The spelling of 264342401002144 in words is "two hundred sixty-four trillion, three hundred forty-two billion, four hundred one million, two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 107 214 428 719 856 1438 1712 2876 3424 5752 11449 11504 22898 23008 45796 76933 91592 153866 183184 307732 366368 615464 1003507 1230928 2007014 2461856 4014028 8028056 8231831 16056112 16463662 32112224 32927324 65854648 107375249 131709296 214750498 263418592 429500996 721521533 859001992 1443043066 1718003984 2886086132 3436007968 5772172264 11489151643 11544344528 22978303286 23088689056 45956606572 77202804031 91913213144 154405608062 183826426288 308811216124 367652852576 617622432248 1235244864496 2470489728992 8260700031317 16521400062634 33042800125268 66085600250536 132171200501072 264342401002144