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3144384341316 = 223329114669827
BaseRepresentation
bin101101110000011011111…
…010010110010101000100
3102010121012112212202211000
4231300123322112111010
5403004144342410231
610404302113013300
7443113526623431
oct55603372262504
912117175782730
103144384341316
111002586a94399
1242949bb54230
1319a68b8317aa
14ac290924b88
1556bd53096e6
hex2dc1be96544

3144384341316 has 24 divisors (see below), whose sum is σ = 8152107551840. Its totient is φ = 1048128113736.

The previous prime is 3144384341309. The next prime is 3144384341317. The reversal of 3144384341316 is 6131434834413.

It is a happy number.

3144384341316 is a `hidden beast` number, since 3 + 144 + 3 + 84 + 3 + 413 + 16 = 666.

3144384341316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×31443843413162 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3144384341317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14557334806 + ... + 14557335021.

Almost surely, 23144384341316 is an apocalyptic number.

3144384341316 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3144384341316 is an abundant number, since it is smaller than the sum of its proper divisors (5007723210524).

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

3144384341316 is a wasteful number, since it uses less digits than its factorization.

3144384341316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29114669840 (or 29114669832 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 3144384341316 in words is "three trillion, one hundred forty-four billion, three hundred eighty-four million, three hundred forty-one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 29114669827 58229339654 87344009481 116458679308 174688018962 262032028443 349376037924 524064056886 786096085329 1048128113772 1572192170658 3144384341316