Search a number
-
+
3144544326560 = 2557131731409813
BaseRepresentation
bin101101110000100101011…
…100101001001110100000
3102010121121200220212022102
4231300211130221032200
5403010011321422220
610404330030025532
7443120511521630
oct55604534511640
912117550825272
103144544326560
1110026593266aa
124295256482a8
1319a6b5a18610
14ac2a7c8c6c0
1556be43ac775
hex2dc257293a0

3144544326560 has 384 divisors, whose sum is σ = 9993534050304. Its totient is φ = 906438574080.

The previous prime is 3144544326541. The next prime is 3144544326619. The reversal of 3144544326560 is 656234454413.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7468214 + ... + 7878026.

It is an arithmetic number, because the mean of its divisors is an integer number (26024828256).

Almost surely, 23144544326560 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 3144544326560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4996767025152).

3144544326560 is an abundant number, since it is smaller than the sum of its proper divisors (6848989723744).

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

3144544326560 is a wasteful number, since it uses less digits than its factorization.

3144544326560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409896 (or 409888 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 47.

The spelling of 3144544326560 in words is "three trillion, one hundred forty-four billion, five hundred forty-four million, three hundred twenty-six thousand, five hundred sixty".