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242232434020 = 225271313142787
BaseRepresentation
bin1110000110011000101…
…1011001110101100100
3212011020121001121202101
43201212023121311210
512432043000342040
6303140253421444
723333513500543
oct3414613316544
9764217047671
10242232434020
1193803991a35
123ab4319a884
1319ac4a4abc5
14ba1cd7015a
15647ae3309a
hex38662d9d64

242232434020 has 48 divisors (see below), whose sum is σ = 512199975168. Its totient is φ = 96226341120.

The previous prime is 242232433997. The next prime is 242232434023. The reversal of 242232434020 is 20434232242.

It is a happy number.

242232434020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 242232434020.

It is not an unprimeable number, because it can be changed into a prime (242232434023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1625067 + ... + 1767853.

It is an arithmetic number, because the mean of its divisors is an integer number (10670832816).

Almost surely, 2242232434020 is an apocalyptic number.

242232434020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242232434020 is an abundant number, since it is smaller than the sum of its proper divisors (269967541148).

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

242232434020 is a wasteful number, since it uses less digits than its factorization.

242232434020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143380 (or 143378 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 242232434020 its reverse (20434232242), we get a palindrome (262666666262).

The spelling of 242232434020 in words is "two hundred forty-two billion, two hundred thirty-two million, four hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 271 313 542 626 1084 1252 1355 1565 2710 3130 5420 6260 84823 142787 169646 285574 339292 424115 571148 713935 848230 1427870 1696460 2855740 38695277 44692331 77390554 89384662 154781108 178769324 193476385 223461655 386952770 446923310 773905540 893846620 12111621701 24223243402 48446486804 60558108505 121116217010 242232434020