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14232324040 = 23511432812677
BaseRepresentation
bin11010100000101000…
…00000011111001000
31100201212121222020121
431100110000133020
5213121433332130
610312132033024
71012455521044
oct152024003710
940655558217
1014232324040
116043859780
122912462774
13145a7a2c1c
149902b1024
15584724d7a
hex3505007c8

14232324040 has 128 divisors (see below), whose sum is σ = 35886913920. Its totient is φ = 5035161600.

The previous prime is 14232324023. The next prime is 14232324089. The reversal of 14232324040 is 4042323241.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 14232323996 and 14232324014.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5315182 + ... + 5317858.

It is an arithmetic number, because the mean of its divisors is an integer number (280366515).

Almost surely, 214232324040 is an apocalyptic number.

14232324040 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 14232324040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17943456960).

14232324040 is an abundant number, since it is smaller than the sum of its proper divisors (21654589880).

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

14232324040 is a wasteful number, since it uses less digits than its factorization.

14232324040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3023 (or 3019 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 14232324040 its reverse (4042323241), we get a palindrome (18274647281).

The spelling of 14232324040 in words is "fourteen billion, two hundred thirty-two million, three hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 43 44 55 86 88 110 172 215 220 281 344 430 440 473 562 860 946 1124 1405 1720 1892 2248 2365 2677 2810 3091 3784 4730 5354 5620 6182 9460 10708 11240 12083 12364 13385 15455 18920 21416 24166 24728 26770 29447 30910 48332 53540 58894 60415 61820 96664 107080 115111 117788 120830 123640 132913 147235 230222 235576 241660 265826 294470 460444 483320 531652 575555 588940 664565 752237 920888 1063304 1151110 1177880 1266221 1329130 1504474 2302220 2532442 2658260 3008948 3761185 4604440 5064884 5316520 6017896 6331105 7522370 8274607 10129768 12662210 15044740 16549214 25324420 30089480 32346191 33098428 41373035 50648840 64692382 66196856 82746070 129384764 161730955 165492140 258769528 323461910 330984280 355808101 646923820 711616202 1293847640 1423232404 1779040505 2846464808 3558081010 7116162020 14232324040