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3942443210144 = 25312175972883
BaseRepresentation
bin111001010111101011111…
…011010101010110100000
3111221220010122102211102112
4321113223323111112200
51004043110430211034
612215044452134452
7554555263240055
oct71275373252640
914856118384375
103942443210144
11128aa8745a54a
125380a4307428
13227a035a5c2a
14d8b5b15702c
156c842eb67ce
hex395ebed55a0

3942443210144 has 72 divisors (see below), whose sum is σ = 8024808274560. Its totient is φ = 1906523153280.

The previous prime is 3942443210143. The next prime is 3942443210149. The reversal of 3942443210144 is 4410123442493.

It is not an unprimeable number, because it can be changed into a prime (3942443210143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54056327 + ... + 54129209.

It is an arithmetic number, because the mean of its divisors is an integer number (111455670480).

Almost surely, 23942443210144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3942443210144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4012404137280).

3942443210144 is an abundant number, since it is smaller than the sum of its proper divisors (4082365064416).

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

3942443210144 is a wasteful number, since it uses less digits than its factorization.

3942443210144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74714 (or 74675 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 41.

The spelling of 3942443210144 in words is "three trillion, nine hundred forty-two billion, four hundred forty-three million, two hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 961 992 1759 1922 3518 3844 7036 7688 14072 15376 28144 30752 54529 56288 72883 109058 145766 218116 291532 436232 583064 872464 1166128 1690399 1744928 2259373 2332256 3380798 4518746 6761596 9037492 13523192 18074984 27046384 36149968 54092768 70040563 72299936 128201197 140081126 256402394 280162252 512804788 560324504 1025609576 1120649008 2051219152 2241298016 3974237107 4102438304 7948474214 15896948428 31793896856 63587793712 123201350317 127175587424 246402700634 492805401268 985610802536 1971221605072 3942443210144