Search a number
-
+
4042442110320 = 24365131529121
BaseRepresentation
bin111010110100110100010…
…100110111010101110000
3112022110020202000022000000
4322310310110313111300
51012212410140012240
612333023335430000
7565025324665065
oct72646424672560
915273222008000
104042442110320
1113194322042a9
12553551825300
1323427babbb93
14dd925dacc6c
1570247085430
hex3ad34537570

4042442110320 has 280 divisors, whose sum is σ = 14199166654992. Its totient is φ = 1069753651200.

The previous prime is 4042442110297. The next prime is 4042442110339. The reversal of 4042442110320 is 230112442404.

4042442110320 is a `hidden beast` number, since 4 + 0 + 424 + 4 + 211 + 0 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7375360 + ... + 7904480.

Almost surely, 24042442110320 is an apocalyptic number.

4042442110320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4042442110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7099583327496).

4042442110320 is an abundant number, since it is smaller than the sum of its proper divisors (10156724544672).

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

4042442110320 is a wasteful number, since it uses less digits than its factorization.

4042442110320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529283 (or 529262 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 4042442110320 its reverse (230112442404), we get a palindrome (4272554552724).

The spelling of 4042442110320 in words is "four trillion, forty-two billion, four hundred forty-two million, one hundred ten thousand, three hundred twenty".