Search a number
-
+
4042600044264 = 233256147222837
BaseRepresentation
bin111010110100111101101…
…111010101011011101000
3112022110122202012011122100
4322310331233111123220
51012213221102404024
612333051140453400
7565032253260645
oct72647557253350
915273582164570
104042600044264
111319503375421
125535966aa260
132342a5738112
14dd93cd60dcc
1570255d807c9
hex3ad3dbd56e8

4042600044264 has 24 divisors (see below), whose sum is σ = 10948708453410. Its totient is φ = 1347533348064.

The previous prime is 4042600044233. The next prime is 4042600044299. The reversal of 4042600044264 is 4624400062404.

4042600044264 is a `hidden beast` number, since 4 + 0 + 4 + 2 + 600 + 0 + 4 + 42 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3120020584164 + 922579460100 = 1766358^2 + 960510^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28073611347 + ... + 28073611490.

Almost surely, 24042600044264 is an apocalyptic number.

It is an amenable number.

4042600044264 is an abundant number, since it is smaller than the sum of its proper divisors (6906108409146).

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

4042600044264 is a wasteful number, since it uses less digits than its factorization.

4042600044264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56147222849 (or 56147222842 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 4042600044264 in words is "four trillion, forty-two billion, six hundred million, forty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 56147222837 112294445674 168441668511 224588891348 336883337022 449177782696 505325005533 673766674044 1010650011066 1347533348088 2021300022132 4042600044264