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242992681380 = 223351761433931
BaseRepresentation
bin1110001001001101111…
…1100001000110100100
3212020012120121012002000
43202103133201012210
512440122111301010
6303343532245300
723361404466261
oct3422337410644
9766176535060
10242992681380
1194064041039
123b115910830
1319bb63c2a07
14ba91d0c268
1564c2a567c0
hex38937e11a4

242992681380 has 192 divisors, whose sum is σ = 813570428160. Its totient is φ = 59986483200.

The previous prime is 242992681331. The next prime is 242992681381. The reversal of 242992681380 is 83186299242.

242992681380 is a `hidden beast` number, since 2 + 4 + 299 + 268 + 13 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (242992681381) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 343015 + ... + 776945.

It is an arithmetic number, because the mean of its divisors is an integer number (4237345980).

Almost surely, 2242992681380 is an apocalyptic number.

242992681380 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 242992681380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406785214080).

242992681380 is an abundant number, since it is smaller than the sum of its proper divisors (570577746780).

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

242992681380 is a wasteful number, since it uses less digits than its factorization.

242992681380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434027 (or 434019 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 242992681380 in words is "two hundred forty-two billion, nine hundred ninety-two million, six hundred eighty-one thousand, three hundred eighty".