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402040200040 = 23510199514901
BaseRepresentation
bin1011101100110110111…
…01101001101101101000
31102102201212120021022021
411312123131221231220
523041334242400130
6504410020434224
741021634213043
oct5663335515550
91372655507267
10402040200040
11145560236936
1265b02548974
132bbb221c2bb
141565d123c5a
15a6d0a9c37a
hex5d9b769b68

402040200040 has 32 divisors (see below), whose sum is σ = 913546800360. Its totient is φ = 159223840000.

The previous prime is 402040200007. The next prime is 402040200047. The reversal of 402040200040 is 40002040204.

It can be written as a sum of positive squares in 4 ways, for example, as 385613676484 + 16426523556 = 620978^2 + 128166^2 .

It is a junction number, because it is equal to n+sod(n) for n = 402040199987 and 402040200023.

It is not an unprimeable number, because it can be changed into a prime (402040200047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49753411 + ... + 49761490.

Almost surely, 2402040200040 is an apocalyptic number.

402040200040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402040200040 is an abundant number, since it is smaller than the sum of its proper divisors (511506600320).

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

402040200040 is a wasteful number, since it uses less digits than its factorization.

402040200040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99515013 (or 99515009 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 402040200040 its reverse (40002040204), we get a palindrome (442042240244).

The spelling of 402040200040 in words is "four hundred two billion, forty million, two hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 2020 4040 99514901 199029802 398059604 497574505 796119208 995149010 1990298020 3980596040 10051005001 20102010002 40204020004 50255025005 80408040008 100510050010 201020100020 402040200040