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242155034511220 = 225195571144075567
BaseRepresentation
bin110111000011110100011100…
…110100000000011101110100
31011202101210110201012002210001
4313003310130310000131310
5223214432002313324340
62215004253114241044
7102002060332443055
oct6703643464003564
91152353421162701
10242155034511220
1170181412016126
12231ab327126184
13a5171776c017c
1443b251ac2672c
151cee01c83a29a
hexdc3d1cd00774

242155034511220 has 48 divisors (see below), whose sum is σ = 536251100232960. Its totient is φ = 91599266116224.

The previous prime is 242155034511167. The next prime is 242155034511233. The reversal of 242155034511220 is 22115430551242.

It is a self number, because there is not a number n which added to its sum of digits gives 242155034511220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 571826124 + ... + 572249443.

It is an arithmetic number, because the mean of its divisors is an integer number (11171897921520).

Almost surely, 2242155034511220 is an apocalyptic number.

242155034511220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242155034511220 is an abundant number, since it is smaller than the sum of its proper divisors (294096065721740).

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

242155034511220 is a wasteful number, since it uses less digits than its factorization.

242155034511220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144076152 (or 1144076150 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 37.

The spelling of 242155034511220 in words is "two hundred forty-two trillion, one hundred fifty-five billion, thirty-four million, five hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 557 1114 2228 2785 5570 10583 11140 21166 42332 52915 105830 211660 1144075567 2288151134 4576302268 5720377835 11440755670 21737435773 22881511340 43474871546 86949743092 108687178865 217374357730 434748715460 637250090819 1274500181638 2549000363276 3186250454095 6372500908190 12107751725561 12745001816380 24215503451122 48431006902244 60538758627805 121077517255610 242155034511220