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4128442272 = 253214334869
BaseRepresentation
bin1111011000010011…
…0000011110100000
3101122201101121010100
43312010300132200
531423340123042
61521354502400
7204210115563
oct36604603640
911581347110
104128442272
111829441869
12972734a00
1350a413166
142b242a4da
1519269724c
hexf61307a0

4128442272 has 36 divisors (see below), whose sum is σ = 11740258530. Its totient is φ = 1376147328.

The previous prime is 4128442243. The next prime is 4128442309. The reversal of 4128442272 is 2722448214.

It can be written as a sum of positive squares in only one way, i.e., 4126263696 + 2178576 = 64236^2 + 1476^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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, 7167147 + ... + 7167722.

Almost surely, 24128442272 is an apocalyptic number.

It is an amenable number.

4128442272 is an abundant number, since it is smaller than the sum of its proper divisors (7611816258).

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

4128442272 is a wasteful number, since it uses less digits than its factorization.

4128442272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14334885 (or 14334874 counting only the distinct ones).

The product of its digits is 57344, while the sum is 36.

The square root of 4128442272 is about 64252.9553561546. The cubic root of 4128442272 is about 1604.2131502818.

The spelling of 4128442272 in words is "four billion, one hundred twenty-eight million, four hundred forty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 14334869 28669738 43004607 57339476 86009214 114678952 129013821 172018428 229357904 258027642 344036856 458715808 516055284 688073712 1032110568 1376147424 2064221136 4128442272