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242666135141472 = 253272531095729611
BaseRepresentation
bin110111001011010000011100…
…110010001011110001100000
31011211012122201012012021000100
4313023100130302023301200
5223301320221044011342
62220035141122422400
7102054023022224100
oct6713203462136140
91154178635167010
10242666135141472
1170359147aa3409
12232723a5801a00
13a55341a569bc3
1443cd164433200
151d0c482c88e4c
hexdcb41cc8bc60

242666135141472 has 432 divisors, whose sum is σ = 817996704597072. Its totient is φ = 68016502794240.

The previous prime is 242666135141281. The next prime is 242666135141519. The reversal of 242666135141472 is 274141531666242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8195119947 + ... + 8195149557.

It is an arithmetic number, because the mean of its divisors is an integer number (1893510890271).

Almost surely, 2242666135141472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242666135141472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408998352298536).

242666135141472 is an abundant number, since it is smaller than the sum of its proper divisors (575330569455600).

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

242666135141472 is a wasteful number, since it uses less digits than its factorization.

242666135141472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40651 (or 40633 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 242666135141472 in words is "two hundred forty-two trillion, six hundred sixty-six billion, one hundred thirty-five million, one hundred forty-one thousand, four hundred seventy-two".