Search a number
-
+
12434524320 = 253525905259
BaseRepresentation
bin10111001010010011…
…11100100010100000
31012002120202021122210
423211021330202200
5200431214234240
65413511002120
7620065466331
oct134511744240
935076667583
1012434524320
115300a68189
1224b0369340
1312321a34ca
1485d60c288
154cb9a3780
hex2e527c8a0

12434524320 has 48 divisors (see below), whose sum is σ = 39168753120. Its totient is φ = 3315873024.

The previous prime is 12434524303. The next prime is 12434524363. The reversal of 12434524320 is 2342543421.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12952150 + ... + 12953109.

It is an arithmetic number, because the mean of its divisors is an integer number (816015690).

Almost surely, 212434524320 is an apocalyptic number.

12434524320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12434524320 is an abundant number, since it is smaller than the sum of its proper divisors (26734228800).

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

12434524320 is a wasteful number, since it uses less digits than its factorization.

12434524320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25905277 (or 25905269 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The spelling of 12434524320 in words is "twelve billion, four hundred thirty-four million, five hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 25905259 51810518 77715777 103621036 129526295 155431554 207242072 259052590 310863108 388578885 414484144 518105180 621726216 777157770 828968288 1036210360 1243452432 1554315540 2072420720 2486904864 3108631080 4144841440 6217262160 12434524320