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242112400420 = 225114325593277
BaseRepresentation
bin1110000101111100000…
…1100000110000100100
3212010221020012021121111
43201133001200300210
512431321233303140
6303120324554404
723330525306422
oct3413701406044
9763836167544
10242112400420
1193752157a10
123ab0ab52a04
1319aa5c118c7
14ba0b046112
1564706227ea
hex385f060c24

242112400420 has 48 divisors (see below), whose sum is σ = 567556532928. Its totient is φ = 85993407360.

The previous prime is 242112400403. The next prime is 242112400441. The reversal of 242112400420 is 24004211242.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 242112400391 and 242112400400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12787179 + ... + 12806098.

It is an arithmetic number, because the mean of its divisors is an integer number (11824094436).

Almost surely, 2242112400420 is an apocalyptic number.

242112400420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242112400420 is an abundant number, since it is smaller than the sum of its proper divisors (325444132508).

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

242112400420 is a wasteful number, since it uses less digits than its factorization.

242112400420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25593340 (or 25593338 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 242112400420 its reverse (24004211242), we get a palindrome (266116611662).

The spelling of 242112400420 in words is "two hundred forty-two billion, one hundred twelve million, four hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 215 220 430 473 860 946 1892 2365 4730 9460 25593277 51186554 102373108 127966385 255932770 281526047 511865540 563052094 1100510911 1126104188 1407630235 2201021822 2815260470 4402043644 5502554555 5630520940 11005109110 12105620021 22010218220 24211240042 48422480084 60528100105 121056200210 242112400420