Search a number
-
+
2445130401 = 377310914633
BaseRepresentation
bin1001000110111101…
…1011101010100001
320022101221111100020
42101233123222201
520001423133101
61042343344053
7114410160030
oct22157335241
96271844306
102445130401
11104523772a
12582a52029
132cc75a72c
14192a4a717
15e49dd136
hex91bdbaa1

2445130401 has 32 divisors (see below), whose sum is σ = 3811864320. Its totient is φ = 1365341184.

The previous prime is 2445130399. The next prime is 2445130453. The reversal of 2445130401 is 1040315442.

It is not a de Polignac number, because 2445130401 - 21 = 2445130399 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2445130481) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 159781 + ... + 174413.

It is an arithmetic number, because the mean of its divisors is an integer number (119120760).

Almost surely, 22445130401 is an apocalyptic number.

2445130401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2445130401 is a deficient number, since it is larger than the sum of its proper divisors (1366733919).

2445130401 is a wasteful number, since it uses less digits than its factorization.

2445130401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14825.

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2445130401 is about 49448.2598379357. The cubic root of 2445130401 is about 1347.2060003206.

Adding to 2445130401 its reverse (1040315442), we get a palindrome (3485445843).

The spelling of 2445130401 in words is "two billion, four hundred forty-five million, one hundred thirty thousand, four hundred one".

Divisors: 1 3 7 21 73 109 219 327 511 763 1533 2289 7957 14633 23871 43899 55699 102431 167097 307293 1068209 1594997 3204627 4784991 7477463 11164979 22432389 33494937 116434781 349304343 815043467 2445130401