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242196014088 = 2336731211907
BaseRepresentation
bin1110000110010000000…
…0011110010000001000
3212011011001112022000000
43201210000132100020
512432004134422323
6303132513043000
723332562103150
oct3414400362010
9764131468000
10242196014088
1193795377116
123ab32b56460
1319aba338a52
14ba181ad760
156477b3be43
hex386401e408

242196014088 has 448 divisors, whose sum is σ = 807928811520. Its totient is φ = 66575779200.

The previous prime is 242196014051. The next prime is 242196014089. The reversal of 242196014088 is 880410691242.

242196014088 is a `hidden beast` number, since 2 + 421 + 9 + 6 + 0 + 140 + 88 = 666.

It is a super-2 number, since 2×2421960140882 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242196014089) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 267029331 + ... + 267030237.

Almost surely, 2242196014088 is an apocalyptic number.

242196014088 is a gapful number since it is divisible by the number (28) 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 242196014088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403964405760).

242196014088 is an abundant number, since it is smaller than the sum of its proper divisors (565732797432).

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

242196014088 is a wasteful number, since it uses less digits than its factorization.

242196014088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 242196014088 in words is "two hundred forty-two billion, one hundred ninety-six million, fourteen thousand, eighty-eight".