Search a number
-
+
12255115440 = 243567937517
BaseRepresentation
bin10110110100111011…
…00011100010110000
31011122002011100221110
423122131203202300
5200044302143230
65344021353320
7612456522351
oct133235434260
934562140843
1012255115440
115219769687
122460268840
131203c786c9
14843869d28
154bad654b0
hex2da7638b0

12255115440 has 80 divisors (see below), whose sum is σ = 38001505248. Its totient is φ = 3267115008.

The previous prime is 12255115427. The next prime is 12255115459. The reversal of 12255115440 is 4451155221.

12255115440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12255115398 and 12255115407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1626562 + ... + 1634078.

Almost surely, 212255115440 is an apocalyptic number.

12255115440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12255115440 is an abundant number, since it is smaller than the sum of its proper divisors (25746389808).

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

12255115440 is a wasteful number, since it uses less digits than its factorization.

12255115440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14326 (or 14320 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The spelling of 12255115440 in words is "twelve billion, two hundred fifty-five million, one hundred fifteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 6793 7517 13586 15034 20379 22551 27172 30068 33965 37585 40758 45102 54344 60136 67930 75170 81516 90204 101895 108688 112755 120272 135860 150340 163032 180408 203790 225510 271720 300680 326064 360816 407580 451020 543440 601360 815160 902040 1630320 1804080 51062981 102125962 153188943 204251924 255314905 306377886 408503848 510629810 612755772 765944715 817007696 1021259620 1225511544 1531889430 2042519240 2451023088 3063778860 4085038480 6127557720 12255115440