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4042413210040 = 235636115887491
BaseRepresentation
bin111010110100110010100…
…110100111100110111000
3112022110011201122000021021
4322310302212213212320
51012212330240210130
612333020424152224
7565024524226522
oct72646246474670
915273151560237
104042413210040
111319417965077
12553544008674
13234275b1061a
14dd922208a12
157024477737a
hex3ad329a79b8

4042413210040 has 32 divisors (see below), whose sum is σ = 9096860169360. Its totient is φ = 1616710982400.

The previous prime is 4042413210029. The next prime is 4042413210049. The reversal of 4042413210040 is 400123142404.

It is a super-2 number, since 2×40424132100402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4042413209987 and 4042413210014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042413210049) 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, 7689306 + ... + 8198185.

Almost surely, 24042413210040 is an apocalyptic number.

4042413210040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4042413210040 is an abundant number, since it is smaller than the sum of its proper divisors (5054446959320).

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

4042413210040 is a wasteful number, since it uses less digits than its factorization.

4042413210040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15893863 (or 15893859 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 4042413210040 its reverse (400123142404), we get a palindrome (4442536352444).

The spelling of 4042413210040 in words is "four trillion, forty-two billion, four hundred thirteen million, two hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 6361 12722 25444 31805 50888 63610 127220 254440 15887491 31774982 63549964 79437455 127099928 158874910 317749820 635499640 101060330251 202120660502 404241321004 505301651255 808482642008 1010603302510 2021206605020 4042413210040