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4244001104016 = 243229472229889
BaseRepresentation
bin111101110000100010001…
…011011010000010010000
3120000201111201211001210200
4331300202023122002100
51024013203240312031
613005400040255200
7615422206113162
oct75604213320220
916021451731720
104244001104016
111396963a89543
12586623471500
1324a2910b721b
141095a714c932
15755e23088e6
hex3dc222da090

4244001104016 has 30 divisors (see below), whose sum is σ = 11877308645670. Its totient is φ = 1414667034624.

The previous prime is 4244001103981. The next prime is 4244001104069. The reversal of 4244001104016 is 6104011004424.

4244001104016 is a `hidden beast` number, since 4 + 244 + 0 + 0 + 1 + 10 + 401 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2412417814416 + 1831583289600 = 1553196^2 + 1353360^2 .

It is a super-3 number, since 3×42440011040163 (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14736114801 + ... + 14736115088.

It is an arithmetic number, because the mean of its divisors is an integer number (395910288189).

Almost surely, 24244001104016 is an apocalyptic number.

It is an amenable number.

4244001104016 is an abundant number, since it is smaller than the sum of its proper divisors (7633307541654).

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

4244001104016 is a wasteful number, since it uses less digits than its factorization.

4244001104016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29472229903 (or 29472229894 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 4244001104016 in words is "four trillion, two hundred forty-four billion, one million, one hundred four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 29472229889 58944459778 88416689667 117888919556 176833379334 235777839112 265250069001 353666758668 471555678224 530500138002 707333517336 1061000276004 1414667034672 2122000552008 4244001104016