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242402401140 = 223513469299951
BaseRepresentation
bin1110000111000001001…
…1110001101101110100
3212011200102212211210220
43201300103301231310
512432420003314030
6303205204414340
723340646261524
oct3416023615564
9764612784726
10242402401140
1193890921829
123ab900a73b0
1319b2101b273
14ba37775684
15648ad08a10
hex38704f1b74

242402401140 has 48 divisors (see below), whose sum is σ = 678779377920. Its totient is φ = 64635625600.

The previous prime is 242402401127. The next prime is 242402401201. The reversal of 242402401140 is 41104204242.

242402401140 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 242402401140.

It is a congruent number.

It is an unprimeable number.

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, 658165 + ... + 958115.

It is an arithmetic number, because the mean of its divisors is an integer number (14141237040).

Almost surely, 2242402401140 is an apocalyptic number.

242402401140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242402401140 is an abundant number, since it is smaller than the sum of its proper divisors (436376976780).

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

242402401140 is a wasteful number, since it uses less digits than its factorization.

242402401140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313432 (or 313430 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 242402401140 its reverse (41104204242), we get a palindrome (283506605382).

The spelling of 242402401140 in words is "two hundred forty-two billion, four hundred two million, four hundred one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 13469 26938 40407 53876 67345 80814 134690 161628 202035 269380 299951 404070 599902 808140 899853 1199804 1499755 1799706 2999510 3599412 4499265 5999020 8998530 17997060 4040040019 8080080038 12120120057 16160160076 20200200095 24240240114 40400400190 48480480228 60600600285 80800800380 121201200570 242402401140