Search a number
-
+
12040400210320 = 245653230482393
BaseRepresentation
bin1010111100110101111111…
…0001110000100110010000
31120122001101012012102122101
42233031133301300212100
53034232214423212240
641335141122450144
72351614225102156
oct257153761604620
946561335172571
1012040400210320
11392233a031879
121425615803954
13694535658391
142d8a893a73d6
1515d2e9b0d39a
hexaf35fc70990

12040400210320 has 40 divisors (see below), whose sum is σ = 28036800335736. Its totient is φ = 4808784626688.

The previous prime is 12040400210299. The next prime is 12040400210369. The reversal of 12040400210320 is 2301200404021.

It can be written as a sum of positive squares in 4 ways, for example, as 274622113936 + 11765778096384 = 524044^2 + 3430128^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115188957 + ... + 115293436.

Almost surely, 212040400210320 is an apocalyptic number.

12040400210320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12040400210320 is an abundant number, since it is smaller than the sum of its proper divisors (15996400125416).

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

12040400210320 is a wasteful number, since it uses less digits than its factorization.

12040400210320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230483059 (or 230483053 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 12040400210320 its reverse (2301200404021), we get a palindrome (14341600614341).

The spelling of 12040400210320 in words is "twelve trillion, forty billion, four hundred million, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 653 1306 2612 3265 5224 6530 10448 13060 26120 52240 230482393 460964786 921929572 1152411965 1843859144 2304823930 3687718288 4609647860 9219295720 18438591440 150505002629 301010005258 602020010516 752525013145 1204040021032 1505050026290 2408080042064 3010100052580 6020200105160 12040400210320