Search a number
-
+
20400444144 = 2432141669751
BaseRepresentation
bin10010111111111101…
…100001001011110000
31221122202000221100100
4102333331201023300
5313240003203034
613212152152400
71321353625353
oct227775411360
957582027310
1020400444144
1187195786a3
123b54098700
131c01643432
14db756429a
157e5ebb099
hex4bff612f0

20400444144 has 30 divisors (see below), whose sum is σ = 57092910056. Its totient is φ = 6800148000.

The previous prime is 20400444143. The next prime is 20400444149. The reversal of 20400444144 is 44144400402.

20400444144 is a `hidden beast` number, since 204 + 0 + 0 + 44 + 414 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20400444143) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70834732 + ... + 70835019.

Almost surely, 220400444144 is an apocalyptic number.

20400444144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20400444144 is an abundant number, since it is smaller than the sum of its proper divisors (36692465912).

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

20400444144 is a wasteful number, since it uses less digits than its factorization.

20400444144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141669765 (or 141669756 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 20400444144 its reverse (44144400402), we get a palindrome (64544844546).

The spelling of 20400444144 in words is "twenty billion, four hundred million, four hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 141669751 283339502 425009253 566679004 850018506 1133358008 1275027759 1700037012 2266716016 2550055518 3400074024 5100111036 6800148048 10200222072 20400444144