Search a number
-
+
3323035334144 = 2910760657041
BaseRepresentation
bin110000010110110100010…
…101110011011000000000
3102202200100001020112010002
4300112310111303120000
5413421034021143034
611022325323455132
7462036625202141
oct60266425633000
912680301215102
103323035334144
1110713228a6509
124580399874a8
131b148cb3c836
14b6b9b4c3ac8
155b68e391e7e
hex305b4573600

3323035334144 has 40 divisors (see below), whose sum is σ = 6701632628328. Its totient is φ = 1645989437440.

The previous prime is 3323035334131. The next prime is 3323035334233. The reversal of 3323035334144 is 4414335303233.

It is a super-2 number, since 2×33230353341442 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3323035334098 and 3323035334107.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 30273737 + ... + 30383304.

Almost surely, 23323035334144 is an apocalyptic number.

It is an amenable number.

3323035334144 is an abundant number, since it is smaller than the sum of its proper divisors (3378597294184).

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

3323035334144 is an equidigital number, since it uses as much as digits as its factorization.

3323035334144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60657166 (or 60657150 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 38.

The spelling of 3323035334144 in words is "three trillion, three hundred twenty-three billion, thirty-five million, three hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 107 128 214 256 428 512 856 1712 3424 6848 13696 27392 54784 60657041 121314082 242628164 485256328 970512656 1941025312 3882050624 6490303387 7764101248 12980606774 15528202496 25961213548 31056404992 51922427096 103844854192 207689708384 415379416768 830758833536 1661517667072 3323035334144