Search a number
-
+
14022073400 = 2352798091097
BaseRepresentation
bin11010000111100011…
…11101110000111000
31100012020000010120212
431003301331300320
5212204122322100
610235221410252
71004323441316
oct150361756070
940166003525
1014022073400
115a46105315
122873b69988
131426069c6a
149703c10b6
15571043635
hex343c7dc38

14022073400 has 96 divisors (see below), whose sum is σ = 33084936000. Its totient is φ = 5525944320.

The previous prime is 14022073393. The next prime is 14022073459. The reversal of 14022073400 is 437022041.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12781652 + ... + 12782748.

It is an arithmetic number, because the mean of its divisors is an integer number (344634750).

Almost surely, 214022073400 is an apocalyptic number.

14022073400 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 14022073400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16542468000).

14022073400 is an abundant number, since it is smaller than the sum of its proper divisors (19062862600).

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

14022073400 is a wasteful number, since it uses less digits than its factorization.

14022073400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2001 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

Adding to 14022073400 its reverse (437022041), we get a palindrome (14459095441).

The spelling of 14022073400 in words is "fourteen billion, twenty-two million, seventy-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 158 200 316 395 632 790 809 1097 1580 1618 1975 2194 3160 3236 3950 4045 4388 5485 6472 7900 8090 8776 10970 15800 16180 20225 21940 27425 32360 40450 43880 54850 63911 80900 86663 109700 127822 161800 173326 219400 255644 319555 346652 433315 511288 639110 693304 866630 887473 1278220 1597775 1733260 1774946 2166575 2556440 3195550 3466520 3549892 4333150 4437365 6391100 7099784 8666300 8874730 12782200 17332600 17749460 22186825 35498920 44373650 70110367 88747300 140220734 177494600 280441468 350551835 560882936 701103670 1402207340 1752759175 2804414680 3505518350 7011036700 14022073400