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242455099392 = 2113411247257
BaseRepresentation
bin1110000111001101110…
…0110011100000000000
3212011211010001012020000
43201303130303200000
512433022001140032
6303214330120000
723342156224662
oct3416334634000
9764733035200
10242455099392
1193908645800
123aba5880000
1319b2bc0c86c
14ba40772532
156490767e7c
hex3873733800

242455099392 has 720 divisors, whose sum is σ = 816115940640. Its totient is φ = 71628226560.

The previous prime is 242455099391. The next prime is 242455099423. The reversal of 242455099392 is 293990554242.

242455099392 is a `hidden beast` number, since 2 + 4 + 2 + 45 + 509 + 9 + 3 + 92 = 666.

It is a super-3 number, since 3×2424550993923 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242455099391) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 943404928 + ... + 943405184.

It is an arithmetic number, because the mean of its divisors is an integer number (1133494362).

Almost surely, 2242455099392 is an apocalyptic number.

242455099392 is a gapful number since it is divisible by the number (22) 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 242455099392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408057970320).

242455099392 is an abundant number, since it is smaller than the sum of its proper divisors (573660841248).

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

242455099392 is a wasteful number, since it uses less digits than its factorization.

242455099392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 242455099392 in words is "two hundred forty-two billion, four hundred fifty-five million, ninety-nine thousand, three hundred ninety-two".