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242102144 = 2710331831
BaseRepresentation
bin11100110111000…
…10111110000000
3121212120001201002
432123202332000
5443434232034
640005031132
75666556104
oct1633427600
9555501632
10242102144
11114729a19
12690b54a8
133b20890b
1424221904
15163c3e7e
hexe6e2f80

242102144 has 32 divisors (see below), whose sum is σ = 483043440. Its totient is φ = 120867840.

The previous prime is 242102143. The next prime is 242102167. The reversal of 242102144 is 441201242.

242102144 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×2421021442 = 117226896258793472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242102143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 131309 + ... + 133139.

Almost surely, 2242102144 is an apocalyptic number.

It is an amenable number.

242102144 is a deficient number, since it is larger than the sum of its proper divisors (240941296).

242102144 is a wasteful number, since it uses less digits than its factorization.

242102144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2878 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 242102144 is about 15559.6318722520. The cubic root of 242102144 is about 623.2556322324.

Adding to 242102144 its reverse (441201242), we get a palindrome (683303386).

The spelling of 242102144 in words is "two hundred forty-two million, one hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 1033 1831 2066 3662 4132 7324 8264 14648 16528 29296 33056 58592 66112 117184 132224 234368 1891423 3782846 7565692 15131384 30262768 60525536 121051072 242102144