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42006015400 = 2352449467773
BaseRepresentation
bin100111000111110000…
…001110110110101000
311000102110201200022011
4213013300032312220
51142012014443100
631144114405304
73014643145126
oct470760166650
9130373650264
1042006015400
11168a6334108
128183890834
133c6585491b
142066b90916
15115cb86bba
hex9c7c0eda8

42006015400 has 48 divisors (see below), whose sum is σ = 97881709500. Its totient is φ = 16764948480.

The previous prime is 42006015361. The next prime is 42006015407. The reversal of 42006015400 is 451060024.

42006015400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 15364594116 + 26641421284 = 123954^2 + 163222^2 .

It is not an unprimeable number, because it can be changed into a prime (42006015407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144087 + ... + 323686.

Almost surely, 242006015400 is an apocalyptic number.

42006015400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42006015400 is an abundant number, since it is smaller than the sum of its proper divisors (55875694100).

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

42006015400 is a wasteful number, since it uses less digits than its factorization.

42006015400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468238 (or 468229 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 42006015400 its reverse (451060024), we get a palindrome (42457075424).

The spelling of 42006015400 in words is "forty-two billion, six million, fifteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 449 898 1796 2245 3592 4490 8980 11225 17960 22450 44900 89800 467773 935546 1871092 2338865 3742184 4677730 9355460 11694325 18710920 23388650 46777300 93554600 210030077 420060154 840120308 1050150385 1680240616 2100300770 4200601540 5250751925 8401203080 10501503850 21003007700 42006015400