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42002462040040 = 2352640293977069
BaseRepresentation
bin10011000110011011101011…
…10101000101111111101000
312111201101200210112110021201
421203031311311011333220
521001132020240240130
6225155355323213544
711563402110410065
oct1143156565057750
9174641623473251
1042002462040040
1112424164901a97
1248644376772b4
131a58a79c2a158
14a52d03d37c6c
154cc8a8e27bca
hex263375d45fe8

42002462040040 has 32 divisors (see below), whose sum is σ = 94505921289000. Its totient is φ = 16800916958464.

The previous prime is 42002462039983. The next prime is 42002462040061. The reversal of 42002462040040 is 4004026420024.

It can be written as a sum of positive squares in 4 ways, for example, as 34109407786276 + 7893054253764 = 5840326^2 + 2809458^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42002462039990 and 42002462040008.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8572626 + ... + 12549694.

Almost surely, 242002462040040 is an apocalyptic number.

42002462040040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42002462040040 is an abundant number, since it is smaller than the sum of its proper divisors (52503459248960).

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

42002462040040 is a wasteful number, since it uses less digits than its factorization.

42002462040040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4241109 (or 4241105 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 42002462040040 its reverse (4004026420024), we get a palindrome (46006488460064).

The spelling of 42002462040040 in words is "forty-two trillion, two billion, four hundred sixty-two million, forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 264029 528058 1056116 1320145 2112232 2640290 3977069 5280580 7954138 10561160 15908276 19885345 31816552 39770690 79541380 159082760 1050061551001 2100123102002 4200246204004 5250307755005 8400492408008 10500615510010 21001231020020 42002462040040