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242405204010 = 235312311112787
BaseRepresentation
bin1110000111000001111…
…0011110000000101010
3212011200122011020121220
43201300132132000222
512432421213012020
6303205344442510
723341012144254
oct3416036360052
9764618136556
10242405204010
1193892466652
123ab91019436
1319b2178cc78
14ba37ca4cd4
15648b1ae240
hex387079e02a

242405204010 has 64 divisors (see below), whose sum is σ = 600804532224. Its totient is φ = 62528558400.

The previous prime is 242405204003. The next prime is 242405204011. The reversal of 242405204010 is 10402504242.

It is a happy number.

It is a super-2 number, since 2×2424052040102 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242405204011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2092837 + ... + 2205623.

It is an arithmetic number, because the mean of its divisors is an integer number (9387570816).

Almost surely, 2242405204010 is an apocalyptic number.

242405204010 is an abundant number, since it is smaller than the sum of its proper divisors (358399328214).

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

242405204010 is a wasteful number, since it uses less digits than its factorization.

242405204010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115139.

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 242405204010 its reverse (10402504242), we get a palindrome (252807708252).

The spelling of 242405204010 in words is "two hundred forty-two billion, four hundred five million, two hundred four thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 930 2311 4622 6933 11555 13866 23110 34665 69330 71641 112787 143282 214923 225574 338361 358205 429846 563935 676722 716410 1074615 1127870 1691805 2149230 3383610 3496397 6992794 10489191 17481985 20978382 34963970 52445955 104891910 260650757 521301514 781952271 1303253785 1563904542 2606507570 3909761355 7819522710 8080173467 16160346934 24240520401 40400867335 48481040802 80801734670 121202602005 242405204010