Search a number
-
+
12234624444 = 2232759822883
BaseRepresentation
bin10110110010011110…
…11000110110111100
31011120122121022120200
423121033120312330
5200024030440234
65342010243500
7612120410010
oct133117306674
934518538520
1012234624444
115209143479
122455426590
1311cc952963
14840c54540
154b9168d99
hex2d93d8dbc

12234624444 has 72 divisors (see below), whose sum is σ = 35943573120. Its totient is φ = 3436355232.

The previous prime is 12234624443. The next prime is 12234624461. The reversal of 12234624444 is 44442643221.

12234624444 is a `hidden beast` number, since 1 + 2 + 23 + 4 + 624 + 4 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12234624399 and 12234624408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12234624443) 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, 396574 + ... + 426309.

Almost surely, 212234624444 is an apocalyptic number.

12234624444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12234624444 is an abundant number, since it is smaller than the sum of its proper divisors (23708948676).

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

12234624444 is a wasteful number, since it uses less digits than its factorization.

12234624444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822959 (or 822954 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The spelling of 12234624444 in words is "twelve billion, two hundred thirty-four million, six hundred twenty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 59 63 84 118 126 177 236 252 354 413 531 708 826 1062 1239 1652 2124 2478 3717 4956 7434 14868 822883 1645766 2468649 3291532 4937298 5760181 7405947 9874596 11520362 14811894 17280543 23040724 29623788 34561086 48550097 51841629 69122172 97100194 103683258 145650291 194200388 207366516 291300582 339850679 436950873 582601164 679701358 873901746 1019552037 1359402716 1747803492 2039104074 3058656111 4078208148 6117312222 12234624444