Search a number
-
+
144012385440 = 253257113673539
BaseRepresentation
bin1000011000011111001…
…1101001110010100000
3111202201110201011211100
42012013303221302200
54324414132313230
6150054113114400
713255522036020
oct2060763516240
9452643634740
10144012385440
1156091267770
1223ab1558a00
1310770c2bc71
146d82487a80
153b2d0e1660
hex2187ce9ca0

144012385440 has 576 divisors, whose sum is σ = 614550343680. Its totient is φ = 29834680320.

The previous prime is 144012385411. The next prime is 144012385469. The reversal of 144012385440 is 44583210441.

144012385440 is a `hidden beast` number, since 1 + 440 + 123 + 8 + 54 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (144012385411) and next prime (144012385469).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144012385395 and 144012385404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40691191 + ... + 40694729.

It is an arithmetic number, because the mean of its divisors is an integer number (1066927680).

Almost surely, 2144012385440 is an apocalyptic number.

144012385440 is a gapful number since it is divisible by the number (10) 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 144012385440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307275171840).

144012385440 is an abundant number, since it is smaller than the sum of its proper divisors (470537958240).

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

144012385440 is a wasteful number, since it uses less digits than its factorization.

144012385440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3945 (or 3934 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 144012385440 its reverse (44583210441), we get a palindrome (188595595881).

The spelling of 144012385440 in words is "one hundred forty-four billion, twelve million, three hundred eighty-five thousand, four hundred forty".