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241401000420 = 223255922730791
BaseRepresentation
bin1110000011010010011…
…1101111000111100100
3212002002122120102021100
43200310213233013210
512423342124003140
6302521553120100
723304066435066
oct3406447570744
9762078512240
10241401000420
1193417631628
123a950859030
13199c1710668
14b980781736
15642ce4c530
hex38349ef1e4

241401000420 has 72 divisors (see below), whose sum is σ = 744660745920. Its totient is φ = 63282519360.

The previous prime is 241401000419. The next prime is 241401000443. The reversal of 241401000420 is 24000104142.

241401000420 is a `hidden beast` number, since 2 + 4 + 140 + 100 + 0 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 241401000393 and 241401000402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11354776 + ... + 11376015.

It is an arithmetic number, because the mean of its divisors is an integer number (10342510360).

Almost surely, 2241401000420 is an apocalyptic number.

241401000420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241401000420 is an abundant number, since it is smaller than the sum of its proper divisors (503259745500).

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

241401000420 is a wasteful number, since it uses less digits than its factorization.

241401000420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22730865 (or 22730860 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 241401000420 its reverse (24000104142), we get a palindrome (265401104562).

The spelling of 241401000420 in words is "two hundred forty-one billion, four hundred one million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 236 295 354 531 590 708 885 1062 1180 1770 2124 2655 3540 5310 10620 22730791 45461582 68192373 90923164 113653955 136384746 204577119 227307910 272769492 340961865 409154238 454615820 681923730 818308476 1022885595 1341116669 1363847460 2045771190 2682233338 4023350007 4091542380 5364466676 6705583345 8046700014 12070050021 13411166690 16093400028 20116750035 24140100042 26822333380 40233500070 48280200084 60350250105 80467000140 120700500210 241401000420