Search a number
-
+
14442120040 = 2353111646871
BaseRepresentation
bin11010111001101000…
…10100001101101000
31101021111101201020211
431130310110031220
5214034140320130
610345024430504
71020613665145
oct153464241550
941244351224
1014442120040
1161412225a7
122970778434
1314920a9c7a
149b00c33cc
15597d66a2a
hex35cd14368

14442120040 has 32 divisors (see below), whose sum is σ = 33542991360. Its totient is φ = 5590497600.

The previous prime is 14442120023. The next prime is 14442120061. The reversal of 14442120040 is 4002124441.

It is a junction number, because it is equal to n+sod(n) for n = 14442119993 and 14442120020.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5822196 + ... + 5824675.

It is an arithmetic number, because the mean of its divisors is an integer number (1048218480).

Almost surely, 214442120040 is an apocalyptic number.

14442120040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14442120040 is an abundant number, since it is smaller than the sum of its proper divisors (19100871320).

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

14442120040 is a wasteful number, since it uses less digits than its factorization.

14442120040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11646913 (or 11646909 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 14442120040 its reverse (4002124441), we get a palindrome (18444244481).

It can be divided in two parts, 144421 and 20040, that added together give a palindrome (164461).

The spelling of 14442120040 in words is "fourteen billion, four hundred forty-two million, one hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 11646871 23293742 46587484 58234355 93174968 116468710 232937420 361053001 465874840 722106002 1444212004 1805265005 2888424008 3610530010 7221060020 14442120040