Search a number
-
+
3045439365120 = 21333531211421
BaseRepresentation
bin101100010100010010010…
…101001110000000000000
3101210010210220110012011000
4230110102111032000000
5344344024434140440
610251015554452000
7433011553326165
oct54242225160000
911703726405130
103045439365120
11a74622144299
12412287594000
131912507861b9
14a7585a5606c
1554343a1e730
hex2c51254e000

3045439365120 has 896 divisors, whose sum is σ = 11256489308160. Its totient is φ = 780337152000.

The previous prime is 3045439365097. The next prime is 3045439365149. The reversal of 3045439365120 is 215639345403.

3045439365120 is a `hidden beast` number, since 3 + 0 + 4 + 5 + 43 + 93 + 6 + 512 + 0 = 666.

It is a super-2 number, since 2×30454393651202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7233822510 + ... + 7233822930.

Almost surely, 23045439365120 is an apocalyptic number.

3045439365120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3045439365120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5628244654080).

3045439365120 is an abundant number, since it is smaller than the sum of its proper divisors (8211049943040).

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

3045439365120 is a wasteful number, since it uses less digits than its factorization.

3045439365120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 3045439365120 in words is "three trillion, forty-five billion, four hundred thirty-nine million, three hundred sixty-five thousand, one hundred twenty".