Search a number
-
+
1440002025 = 325271183117
BaseRepresentation
bin101010111010100…
…1010111111101001
310201100121200102100
41111311022333221
510422120031100
6354520124013
750453546430
oct12565127751
93640550370
101440002025
11679930920
12342306609
1319c446207
14d9366117
1586647400
hex55d4afe9

1440002025 has 72 divisors (see below), whose sum is σ = 3215669184. Its totient is φ = 598435200.

The previous prime is 1440002023. The next prime is 1440002029. The reversal of 1440002025 is 5202000441.

1440002025 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1440002025 - 21 = 1440002023 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1440001989 and 1440002007.

It is not an unprimeable number, because it can be changed into a prime (1440002023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24234 + ... + 58883.

It is an arithmetic number, because the mean of its divisors is an integer number (44662072).

Almost surely, 21440002025 is an apocalyptic number.

1440002025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1440002025 is an abundant number, since it is smaller than the sum of its proper divisors (1775667159).

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

1440002025 is a wasteful number, since it uses less digits than its factorization.

1440002025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83151 (or 83143 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 1440002025 is about 37947.3586037289. The cubic root of 1440002025 is about 1129.2437639898.

Adding to 1440002025 its reverse (5202000441), we get a palindrome (6642002466).

The spelling of 1440002025 in words is "one billion, four hundred forty million, two thousand, twenty-five".

Divisors: 1 3 5 7 9 11 15 21 25 33 35 45 55 63 75 77 99 105 165 175 225 231 275 315 385 495 525 693 825 1155 1575 1925 2475 3465 5775 17325 83117 249351 415585 581819 748053 914287 1246755 1745457 2077925 2742861 2909095 3740265 4571435 5236371 6233775 6400009 8228583 8727285 13714305 14545475 18701325 19200027 22857175 26181855 32000045 41142915 43636425 57600081 68571525 96000135 130909275 160000225 205714575 288000405 480000675 1440002025