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420344040042 = 232193233519301
BaseRepresentation
bin1100001110111100111…
…01010000101001101010
31111011222111110200110100
412013132131100221222
523341331033240132
6521034155330230
742240342250053
oct6073635205152
91434874420410
10420344040042
111522a3285833
1269570450976
133083b393464
14164b804372a
15ae0297237c
hex61de750a6a

420344040042 has 48 divisors (see below), whose sum is σ = 919395110088. Its totient is φ = 138790195200.

The previous prime is 420344040041. The next prime is 420344040073. The reversal of 420344040042 is 240040443024.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 263948310081 + 156395729961 = 513759^2 + 395469^2 .

It is a super-2 number, since 2×4203440400422 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 420344039988 and 420344040015.

It is not an unprimeable number, because it can be changed into a prime (420344040041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 549792 + ... + 1069092.

Almost surely, 2420344040042 is an apocalyptic number.

420344040042 is an abundant number, since it is smaller than the sum of its proper divisors (499051070046).

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

420344040042 is a wasteful number, since it uses less digits than its factorization.

420344040042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519735 (or 519732 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 420344040042 its reverse (240040443024), we get a palindrome (660384483066).

The spelling of 420344040042 in words is "four hundred twenty billion, three hundred forty-four million, forty thousand, forty-two".

Divisors: 1 2 3 6 9 18 193 233 386 466 579 699 1158 1398 1737 2097 3474 4194 44969 89938 134907 269814 404721 519301 809442 1038602 1557903 3115806 4673709 9347418 100225093 120997133 200450186 241994266 300675279 362991399 601350558 725982798 902025837 1088974197 1804051674 2177948394 23352446669 46704893338 70057340007 140114680014 210172020021 420344040042