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12433214000 = 24537385159
BaseRepresentation
bin10111001010001001…
…11100101000110000
31012002111021201020102
423211010330220300
5200430400322000
65413422531532
7620051401214
oct134504745060
935074251212
1012433214000
115300252779
1224aba36ba8
131231b34c7c
1485d38a944
154cb7e53d5
hex2e513ca30

12433214000 has 80 divisors (see below), whose sum is σ = 30475698240. Its totient is φ = 4905100800.

The previous prime is 12433213981. The next prime is 12433214011. The reversal of 12433214000 is 41233421.

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 (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103421 + ... + 188579.

It is an arithmetic number, because the mean of its divisors is an integer number (380946228).

Almost surely, 212433214000 is an apocalyptic number.

12433214000 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 12433214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15237849120).

12433214000 is an abundant number, since it is smaller than the sum of its proper divisors (18042484240).

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

12433214000 is an equidigital number, since it uses as much as digits as its factorization.

12433214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85255 (or 85239 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12433214000 its reverse (41233421), we get a palindrome (12474447421).

The spelling of 12433214000 in words is "twelve billion, four hundred thirty-three million, two hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 125 146 200 250 292 365 400 500 584 730 1000 1168 1460 1825 2000 2920 3650 5840 7300 9125 14600 18250 29200 36500 73000 85159 146000 170318 340636 425795 681272 851590 1362544 1703180 2128975 3406360 4257950 6216607 6812720 8515900 10644875 12433214 17031800 21289750 24866428 31083035 34063600 42579500 49732856 62166070 85159000 99465712 124332140 155415175 170318000 248664280 310830350 497328560 621660700 777075875 1243321400 1554151750 2486642800 3108303500 6216607000 12433214000