Search a number
-
+
4042400200002 = 23397771744979
BaseRepresentation
bin111010110100110001110…
…100111111010101000010
3112022110010211011000212000
4322310301310333111002
51012212313422400002
612333015241244430
7565024305522423
oct72646164772502
915273124130760
104042400200002
11131941058947a
1255353b793716
13234273206988
14dd9205bd64a
157024355761c
hex3ad31d3f542

4042400200002 has 32 divisors (see below), whose sum is σ = 9075720964800. Its totient is φ = 1333575321984.

The previous prime is 4042400199991. The next prime is 4042400200081. The reversal of 4042400200002 is 2000020042404.

4042400200002 is a `hidden beast` number, since 40 + 424 + 0 + 0 + 200 + 0 + 0 + 2 = 666.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 385867252 + ... + 385877727.

It is an arithmetic number, because the mean of its divisors is an integer number (283616280150).

Almost surely, 24042400200002 is an apocalyptic number.

4042400200002 is an abundant number, since it is smaller than the sum of its proper divisors (5033320764798).

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

4042400200002 is a wasteful number, since it uses less digits than its factorization.

4042400200002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771745087 (or 771745081 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 4042400200002 its reverse (2000020042404), we get a palindrome (6042420242406).

The spelling of 4042400200002 in words is "four trillion, forty-two billion, four hundred million, two hundred thousand, two".

Divisors: 1 2 3 6 9 18 27 54 97 194 291 582 873 1746 2619 5238 771744979 1543489958 2315234937 4630469874 6945704811 13891409622 20837114433 41674228866 74859262963 149718525926 224577788889 449155577778 673733366667 1347466733334 2021200100001 4042400200002