Search a number
-
+
3042122548920 = 2335713424365657
BaseRepresentation
bin101100010001001100101…
…000100100011010111000
3101202211020202021110200120
4230101030220210122320
5344320231333031140
610245310511533240
7432533430005130
oct54211450443270
911684222243616
103042122548920
11a7317a964184
1241170082a220
13190b42566970
14a734d33dac0
15541ec7491d0
hex2c44ca246b8

3042122548920 has 256 divisors, whose sum is σ = 11235270896640. Its totient is φ = 641693380608.

The previous prime is 3042122548897. The next prime is 3042122548967. The reversal of 3042122548920 is 298452212403.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 46300732 + ... + 46366388.

It is an arithmetic number, because the mean of its divisors is an integer number (43887776940).

Almost surely, 23042122548920 is an apocalyptic number.

3042122548920 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 3042122548920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5617635448320).

3042122548920 is an abundant number, since it is smaller than the sum of its proper divisors (8193148347720).

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

3042122548920 is a wasteful number, since it uses less digits than its factorization.

3042122548920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69934 (or 69930 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 3042122548920 in words is "three trillion, forty-two billion, one hundred twenty-two million, five hundred forty-eight thousand, nine hundred twenty".