Search a number
-
+
12340947375 = 34531218859
BaseRepresentation
bin10110111111001001…
…11110100110101111
31011212001200002020000
423133210332212233
5200233240304000
65400325155343
7614551215261
oct133744764657
934761602200
1012340947375
115263163469
122484b5bb53
13121899b433
1485100db31
154c366c000
hex2df93e9af

12340947375 has 40 divisors (see below), whose sum is σ = 23007201360. Its totient is φ = 6581833200.

The previous prime is 12340947373. The next prime is 12340947401. The reversal of 12340947375 is 57374904321.

12340947375 is a `hidden beast` number, since 1 + 234 + 0 + 9 + 47 + 375 = 666.

It is not a de Polignac number, because 12340947375 - 21 = 12340947373 is a prime.

It is a super-2 number, since 2×123409473752 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 12340947375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12340947373) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 599305 + ... + 619554.

It is an arithmetic number, because the mean of its divisors is an integer number (575180034).

Almost surely, 212340947375 is an apocalyptic number.

12340947375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12340947375 is a deficient number, since it is larger than the sum of its proper divisors (10666253985).

12340947375 is an equidigital number, since it uses as much as digits as its factorization.

12340947375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218886 (or 1218867 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 12340947375 in words is "twelve billion, three hundred forty million, nine hundred forty-seven thousand, three hundred seventy-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 125 135 225 375 405 675 1125 2025 3375 10125 1218859 3656577 6094295 10969731 18282885 30471475 32909193 54848655 91414425 98727579 152357375 164545965 274243275 457072125 493637895 822729825 1371216375 2468189475 4113649125 12340947375