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14233230450 = 23252172964157
BaseRepresentation
bin11010100000101110…
…11101110001110010
31100201221100000121100
431100113131301302
5213122201333300
610312203305230
71012466314455
oct152027356162
940657300540
1014233230450
11604431877a
12291281b216
13145aa2c66a
1499046949c
15584853700
hex3505ddc72

14233230450 has 144 divisors (see below), whose sum is σ = 41886191880. Its totient is φ = 3449026560.

The previous prime is 14233230443. The next prime is 14233230463. The reversal of 14233230450 is 5403233241.

14233230450 is a `hidden beast` number, since 1 + 423 + 3 + 230 + 4 + 5 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 5471708841 + 8761521609 = 73971^2 + 93603^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 189772 + ... + 253928.

Almost surely, 214233230450 is an apocalyptic number.

14233230450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14233230450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20943095940).

14233230450 is an abundant number, since it is smaller than the sum of its proper divisors (27652961430).

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

14233230450 is a wasteful number, since it uses less digits than its factorization.

14233230450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64221 (or 64213 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 14233230450 its reverse (5403233241), we get a palindrome (19636463691).

The spelling of 14233230450 in words is "fourteen billion, two hundred thirty-three million, two hundred thirty thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 29 30 34 45 50 51 58 75 85 87 90 102 145 150 153 170 174 225 255 261 290 306 425 435 450 493 510 522 725 765 850 870 986 1275 1305 1450 1479 1530 2175 2465 2550 2610 2958 3825 4350 4437 4930 6525 7395 7650 8874 12325 13050 14790 22185 24650 36975 44370 64157 73950 110925 128314 192471 221850 320785 384942 577413 641570 962355 1090669 1154826 1603925 1860553 1924710 2181338 2887065 3207850 3272007 3721106 4811775 5453345 5581659 5774130 6544014 9302765 9623550 9816021 10906690 11163318 14435325 16360035 16744977 18605530 19632042 27266725 27908295 28870650 31629401 32720070 33489954 46513825 49080105 54533450 55816590 63258802 81800175 83724885 93027650 94888203 98160210 139541475 158147005 163600350 167449770 189776406 245400525 279082950 284664609 316294010 418624425 474441015 490801050 569329218 790735025 837248850 948882030 1423323045 1581470050 2372205075 2846646090 4744410150 7116615225 14233230450