Search a number
-
+
242433123626400 = 253527191136721259
BaseRepresentation
bin110111000111110111011100…
…001101110010110110100000
31011210101101021012220212002120
4313013313130031302312200
5223234011014122021100
62215340123421144240
7102031133543065650
oct6707673415626640
91153341235825076
10242433123626400
1170279346083353
12232351b66bb080
13a537464c9c075
1443c1b7bd84360
151d063966200a0
hexdc7ddc372da0

242433123626400 has 576 divisors, whose sum is σ = 957718252108800. Its totient is φ = 52032215531520.

The previous prime is 242433123626279. The next prime is 242433123626411. The reversal of 242433123626400 is 4626321334242.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32708971 + ... + 39430229.

It is an arithmetic number, because the mean of its divisors is an integer number (1662705298800).

Almost surely, 2242433123626400 is an apocalyptic number.

242433123626400 is a gapful number since it is divisible by the number (20) 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 242433123626400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478859126054400).

242433123626400 is an abundant number, since it is smaller than the sum of its proper divisors (715285128482400).

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

242433123626400 is a wasteful number, since it uses less digits than its factorization.

242433123626400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6721421 (or 6721408 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 42.

The spelling of 242433123626400 in words is "two hundred forty-two trillion, four hundred thirty-three billion, one hundred twenty-three million, six hundred twenty-six thousand, four hundred".