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242130441 = 3765317657
BaseRepresentation
bin11100110111010…
…01111000001001
3121212121111112010
432123221320021
5443441133231
640005410133
76000034440
oct1633517011
9555544463
10242130441
11114749203
1269109949
133b218767
142422bd57
15163cc546
hexe6e9e09

242130441 has 16 divisors (see below), whose sum is σ = 369546624. Its totient is φ = 138140544.

The previous prime is 242130419. The next prime is 242130451. The reversal of 242130441 is 144031242.

It is not a de Polignac number, because 242130441 - 213 = 242122249 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (242130451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4885 + ... + 22541.

It is an arithmetic number, because the mean of its divisors is an integer number (23096664).

Almost surely, 2242130441 is an apocalyptic number.

242130441 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

242130441 is a deficient number, since it is larger than the sum of its proper divisors (127416183).

242130441 is a wasteful number, since it uses less digits than its factorization.

242130441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18320.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 242130441 is about 15560.5411538288. The cubic root of 242130441 is about 623.2799134129.

Adding to 242130441 its reverse (144031242), we get a palindrome (386161683).

The spelling of 242130441 in words is "two hundred forty-two million, one hundred thirty thousand, four hundred forty-one".

Divisors: 1 3 7 21 653 1959 4571 13713 17657 52971 123599 370797 11530021 34590063 80710147 242130441