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242274289140 = 223351359358199
BaseRepresentation
bin1110000110100010101…
…1000100010111110100
3212011100111211002012000
43201220223010113310
512432134204223030
6303144350455300
723334532323252
oct3415053042764
9764314732160
10242274289140
119382557a344
123ab55204530
1319b00613c50
14ba247475d2
15647e94e860
hex3868ac45f4

242274289140 has 192 divisors, whose sum is σ = 813105216000. Its totient is φ = 59535157248.

The previous prime is 242274289111. The next prime is 242274289193. The reversal of 242274289140 is 41982472242.

242274289140 is a `hidden beast` number, since 2 + 4 + 227 + 4 + 289 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4133761 + ... + 4191959.

It is an arithmetic number, because the mean of its divisors is an integer number (4234923000).

Almost surely, 2242274289140 is an apocalyptic number.

242274289140 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 242274289140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406552608000).

242274289140 is an abundant number, since it is smaller than the sum of its proper divisors (570830926860).

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

242274289140 is a wasteful number, since it uses less digits than its factorization.

242274289140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58823 (or 58815 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 242274289140 in words is "two hundred forty-two billion, two hundred seventy-four million, two hundred eighty-nine thousand, one hundred forty".