Search a number
-
+
12454223040 = 26345783827
BaseRepresentation
bin10111001100101010…
…00101110011000000
31012010221211002020000
423212111011303000
5201001240114130
65415453120000
7620425102110
oct134625056300
935127732200
1012454223040
1153110a2116
1224b6a89000
1312362ac75c
14862099040
154cd595260
hex2e6545cc0

12454223040 has 560 divisors, whose sum is σ = 51302668032. Its totient is φ = 2808981504.

The previous prime is 12454223009. The next prime is 12454223071. The reversal of 12454223040 is 4032245421.

It is an interprime number because it is at equal distance from previous prime (12454223009) and next prime (12454223071).

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12454222995 and 12454223013.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15059107 + ... + 15059933.

Almost surely, 212454223040 is an apocalyptic number.

12454223040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12454223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25651334016).

12454223040 is an abundant number, since it is smaller than the sum of its proper divisors (38848444992).

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

12454223040 is an equidigital number, since it uses as much as digits as its factorization.

12454223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 12454223040 its reverse (4032245421), we get a palindrome (16486468461).

The spelling of 12454223040 in words is "twelve billion, four hundred fifty-four million, two hundred twenty-three thousand, forty".