Search a number
-
+
12444110010 = 23251011368989
BaseRepresentation
bin10111001011011101…
…00000110010111010
31012010020210021202100
423211232200302322
5200441143010020
65414452244230
7620243122053
oct134556406272
935106707670
1012444110010
115306415042
1224b3610676
13123417b607
148609c572a
154cc748a90
hex2e5ba0cba

12444110010 has 48 divisors (see below), whose sum is σ = 32675053320. Its totient is φ = 3285571200.

The previous prime is 12444109943. The next prime is 12444110011. The reversal of 12444110010 is 1001144421.

12444110010 is a `hidden beast` number, since 1 + 244 + 411 + 0 + 0 + 10 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10545852249 + 1898257761 = 102693^2 + 43569^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12444110011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 675405 + ... + 693584.

Almost surely, 212444110010 is an apocalyptic number.

12444110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12444110010 is an abundant number, since it is smaller than the sum of its proper divisors (20230943310).

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

12444110010 is a wasteful number, since it uses less digits than its factorization.

12444110010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369103 (or 1369100 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12444110010 its reverse (1001144421), we get a palindrome (13445254431).

The spelling of 12444110010 in words is "twelve billion, four hundred forty-four million, one hundred ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1818 3030 4545 9090 1368989 2737978 4106967 6844945 8213934 12320901 13689890 20534835 24641802 41069670 61604505 123209010 138267889 276535778 414803667 691339445 829607334 1244411001 1382678890 2074018335 2488822002 4148036670 6222055005 12444110010