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4113340444008 = 233257129728389
BaseRepresentation
bin111011110110110110001…
…100100010110101101000
3112120020020202201211000200
4323312312030202311220
51014343110123202013
612425350441032200
7603115260613305
oct73666614426550
915506222654020
104113340444008
11134650449a804
12565239485660
1323ab6a398613
1410313002a0ac
1571ee6493e73
hex3bdb6322d68

4113340444008 has 24 divisors (see below), whose sum is σ = 11140297036050. Its totient is φ = 1371113481312.

The previous prime is 4113340443973. The next prime is 4113340444009. The reversal of 4113340444008 is 8004440433114.

4113340444008 is a `hidden beast` number, since 41 + 133 + 40 + 4 + 440 + 0 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4072073771844 + 41266672164 = 2017938^2 + 203142^2 .

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 not an unprimeable number, because it can be changed into a prime (4113340444009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28564864123 + ... + 28564864266.

Almost surely, 24113340444008 is an apocalyptic number.

It is an amenable number.

4113340444008 is an abundant number, since it is smaller than the sum of its proper divisors (7026956592042).

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

4113340444008 is a wasteful number, since it uses less digits than its factorization.

4113340444008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57129728401 (or 57129728394 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 4113340444008 in words is "four trillion, one hundred thirteen billion, three hundred forty million, four hundred forty-four thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 57129728389 114259456778 171389185167 228518913556 342778370334 457037827112 514167555501 685556740668 1028335111002 1371113481336 2056670222004 4113340444008