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242352024111450 = 2325211193139176473
BaseRepresentation
bin110111000110101011111010…
…010011101100100101011010
31011210002121221020212122010200
4313012223322103230211122
5223231143421133031300
62215234552145123030
7102022233040431261
oct6706537223544532
91153077836778120
10242352024111450
1170247a09563430
1223221542629476
13a52c90c1262b6
1443bbc871955d8
151d041eb864200
hexdc6afa4ec95a

242352024111450 has 288 divisors, whose sum is σ = 710970851328192. Its totient is φ = 58697519232000.

The previous prime is 242352024111443. The next prime is 242352024111497. The reversal of 242352024111450 is 54111420253242.

242352024111450 is a `hidden beast` number, since 2 + 4 + 2 + 35 + 202 + 411 + 1 + 4 + 5 + 0 = 666.

It is a super-2 number, since 2×2423520241114502 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37440445414 + ... + 37440451886.

It is an arithmetic number, because the mean of its divisors is an integer number (2468648789334).

Almost surely, 2242352024111450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242352024111450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355485425664096).

242352024111450 is an abundant number, since it is smaller than the sum of its proper divisors (468618827216742).

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

242352024111450 is a wasteful number, since it uses less digits than its factorization.

242352024111450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12350 (or 12342 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 242352024111450 its reverse (54111420253242), we get a palindrome (296463444364692).

The spelling of 242352024111450 in words is "two hundred forty-two trillion, three hundred fifty-two billion, twenty-four million, one hundred eleven thousand, four hundred fifty".