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242455341240 = 233257312531889
BaseRepresentation
bin1110000111001101110…
…1101110100010111000
3212011211010111110222100
43201303131232202320
512433022031404430
6303214335223400
723342161253040
oct3416335564270
9764733443870
10242455341240
11939087a0482
123aba5977b60
1319b2bc95978
14ba407d6720
1564907b4960
hex387376e8b8

242455341240 has 576 divisors, whose sum is σ = 948594628800. Its totient is φ = 52590919680.

The previous prime is 242455341223. The next prime is 242455341241. The reversal of 242455341240 is 42143554242.

242455341240 is a `hidden beast` number, since 2 + 4 + 24 + 55 + 341 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 242455341195 and 242455341204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242455341241) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 128350216 + ... + 128352104.

It is an arithmetic number, because the mean of its divisors is an integer number (1646865675).

Almost surely, 2242455341240 is an apocalyptic number.

242455341240 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 242455341240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474297314400).

242455341240 is an abundant number, since it is smaller than the sum of its proper divisors (706139287560).

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

242455341240 is a wasteful number, since it uses less digits than its factorization.

242455341240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 242455341240 its reverse (42143554242), we get a palindrome (284598895482).

The spelling of 242455341240 in words is "two hundred forty-two billion, four hundred fifty-five million, three hundred forty-one thousand, two hundred forty".