Search a number
-
+
12315220144460 = 2251748017544519
BaseRepresentation
bin1011001100110101110001…
…0100100111000101001100
31121121022201212101120122122
42303031130110213011030
53103233032324110320
642105311203432112
72410513431022022
oct263153424470514
947538655346578
1012315220144460
113a18945794992
12146a932385638
136b442185591c
143080ba28c712
151655318cbd25
hexb335c52714c

12315220144460 has 48 divisors (see below), whose sum is σ = 27388961490240. Its totient is φ = 4635351859200.

The previous prime is 12315220144457. The next prime is 12315220144489. The reversal of 12315220144460 is 6444102251321.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12315220144460.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2139920 + ... + 5404599.

It is an arithmetic number, because the mean of its divisors is an integer number (570603364380).

Almost surely, 212315220144460 is an apocalyptic number.

12315220144460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12315220144460 is an abundant number, since it is smaller than the sum of its proper divisors (15073741345780).

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

12315220144460 is a wasteful number, since it uses less digits than its factorization.

12315220144460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7549346 (or 7549344 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

Adding to 12315220144460 its reverse (6444102251321), we get a palindrome (18759322395781).

The spelling of 12315220144460 in words is "twelve trillion, three hundred fifteen billion, two hundred twenty million, one hundred forty-four thousand, four hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 4801 9602 19204 24005 48010 81617 96020 163234 326468 408085 816170 1632340 7544519 15089038 30178076 37722595 75445190 128256823 150890380 256513646 513027292 641284115 1282568230 2565136460 36221235719 72442471438 144884942876 181106178595 362212357190 615761007223 724424714380 1231522014446 2463044028892 3078805036115 6157610072230 12315220144460