Search a number
-
+
4244402402240 = 26571113233891481
BaseRepresentation
bin111101110000111010000…
…110001111001111000000
3120000202112200221010110212
4331300322012033033000
51024020014003332430
613005503533413252
7615435151102640
oct75607206171700
916022480833425
104244402402240
11139704a560870
1258671593a228
1324a3262916b0
14109604570520
1575617676b95
hex3dc3a18f3c0

4244402402240 has 896 divisors, whose sum is σ = 14206212034560. Its totient is φ = 1164283084800.

The previous prime is 4244402402209. The next prime is 4244402402257. The reversal of 4244402402240 is 422042044424.

4244402402240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 4244402402197 and 4244402402206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2865902300 + ... + 2865903780.

It is an arithmetic number, because the mean of its divisors is an integer number (15855147360).

Almost surely, 24244402402240 is an apocalyptic number.

4244402402240 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 4244402402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7103106017280).

4244402402240 is an abundant number, since it is smaller than the sum of its proper divisors (9961809632320).

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

4244402402240 is a wasteful number, since it uses less digits than its factorization.

4244402402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 4244402402240 its reverse (422042044424), we get a palindrome (4666444446664).

The spelling of 4244402402240 in words is "four trillion, two hundred forty-four billion, four hundred two million, four hundred two thousand, two hundred forty".