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242044314200 = 23521393093967
BaseRepresentation
bin1110000101101011110…
…1110010001001011000
3212010202111002010212122
43201122331302021120
512431201321023300
6303105453400412
723326040503343
oct3413275621130
9763674063778
10242044314200
1193717783807
123aab0199108
1319a94a931c0
14ba01da145a
156469673c85
hex385af72258

242044314200 has 48 divisors (see below), whose sum is σ = 606041731680. Its totient is φ = 89370207360.

The previous prime is 242044314191. The next prime is 242044314247. The reversal of 242044314200 is 2413440242.

It is a happy number.

242044314200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 242044314200.

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 11 ways as a sum of consecutive naturals, for example, 46544384 + ... + 46549583.

It is an arithmetic number, because the mean of its divisors is an integer number (12625869410).

Almost surely, 2242044314200 is an apocalyptic number.

242044314200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242044314200 is an abundant number, since it is smaller than the sum of its proper divisors (363997417480).

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

242044314200 is a wasteful number, since it uses less digits than its factorization.

242044314200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93093996 (or 93093987 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 242044314200 its reverse (2413440242), we get a palindrome (244457754442).

The spelling of 242044314200 in words is "two hundred forty-two billion, forty-four million, three hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 93093967 186187934 372375868 465469835 744751736 930939670 1210221571 1861879340 2327349175 2420443142 3723758680 4654698350 4840886284 6051107855 9309396700 9681772568 12102215710 18618793400 24204431420 30255539275 48408862840 60511078550 121022157100 242044314200