Search a number
-
+
12440000000 = 2957311
BaseRepresentation
bin10111001010111101…
…10101011000000000
31012002222001110212202
423211132311120000
5200434120000000
65414224212332
7620163153401
oct134536653000
935088043782
1012440000000
11530406813a
1224b216a0a8
13123336c95c
148602359a8
154cc1d5dd5
hex2e57b5600

12440000000 has 160 divisors (see below), whose sum is σ = 31169451456. Its totient is φ = 4960000000.

The previous prime is 12439999973. The next prime is 12440000011. The reversal of 12440000000 is 4421.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

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, 39999845 + ... + 40000155.

Almost surely, 212440000000 is an apocalyptic number.

12440000000 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 12440000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15584725728).

12440000000 is an abundant number, since it is smaller than the sum of its proper divisors (18729451456).

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

12440000000 is an frugal number, since it uses more digits than its factorization.

12440000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 12440000000 its reverse (4421), we get a palindrome (12440004421).

The spelling of 12440000000 in words is "twelve billion, four hundred forty million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 311 320 400 500 512 622 625 640 800 1000 1244 1250 1280 1555 1600 2000 2488 2500 2560 3110 3125 3200 4000 4976 5000 6220 6250 6400 7775 8000 9952 10000 12440 12500 12800 15550 15625 16000 19904 20000 24880 25000 31100 31250 32000 38875 39808 40000 49760 50000 62200 62500 64000 77750 78125 79616 80000 99520 100000 124400 125000 155500 156250 159232 160000 194375 199040 200000 248800 250000 311000 312500 320000 388750 398080 400000 497600 500000 622000 625000 777500 796160 800000 971875 995200 1000000 1244000 1250000 1555000 1600000 1943750 1990400 2000000 2488000 2500000 3110000 3887500 3980800 4000000 4859375 4976000 5000000 6220000 7775000 8000000 9718750 9952000 10000000 12440000 15550000 19437500 19904000 20000000 24296875 24880000 31100000 38875000 40000000 48593750 49760000 62200000 77750000 97187500 99520000 124400000 155500000 194375000 248800000 311000000 388750000 497600000 622000000 777500000 1244000000 1555000000 2488000000 3110000000 6220000000 12440000000