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3144222430344 = 233243669755977
BaseRepresentation
bin101101110000010010010…
…000101101010010001000
3102010120210021012211201100
4231300102100231102020
5403003331420232334
610404234050421400
7443106522454662
oct55602220552210
912116707184640
103144222430344
111002503657276
12429455891860
1319a664122298
14ac277219532
1556bc5ec5c99
hex2dc1242d488

3144222430344 has 24 divisors (see below), whose sum is σ = 8515602415710. Its totient is φ = 1048074143424.

The previous prime is 3144222430343. The next prime is 3144222430369. The reversal of 3144222430344 is 4430342224413.

3144222430344 is a `hidden beast` number, since 31 + 4 + 42 + 2 + 243 + 0 + 344 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2929540328100 + 214682102244 = 1711590^2 + 463338^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×31442224303442 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3144222430299 and 3144222430308.

It is not an unprimeable number, because it can be changed into a prime (3144222430343) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21834877917 + ... + 21834878060.

Almost surely, 23144222430344 is an apocalyptic number.

It is an amenable number.

3144222430344 is an abundant number, since it is smaller than the sum of its proper divisors (5371379985366).

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

3144222430344 is a wasteful number, since it uses less digits than its factorization.

3144222430344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43669755989 (or 43669755982 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 3144222430344 its reverse (4430342224413), we get a palindrome (7574564654757).

The spelling of 3144222430344 in words is "three trillion, one hundred forty-four billion, two hundred twenty-two million, four hundred thirty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 43669755977 87339511954 131009267931 174679023908 262018535862 349358047816 393027803793 524037071724 786055607586 1048074143448 1572111215172 3144222430344