Search a number
-
+
14233423224 = 23323414713381
BaseRepresentation
bin11010100000110000…
…01100110101111000
31100201221200211001010
431100120030311320
5213122224020344
610312211353520
71012501046466
oct152030146570
940657624033
1014233423224
11604443a599
1229128b28a0
13145aa99327
149904b9836
155848908b9
hex35060cd78

14233423224 has 128 divisors (see below), whose sum is σ = 38848481280. Its totient is φ = 4332979200.

The previous prime is 14233423207. The next prime is 14233423261. The reversal of 14233423224 is 42232433241.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 14233423191 and 14233423200.

It is a congruent number.

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, 1057014 + ... + 1070394.

It is an arithmetic number, because the mean of its divisors is an integer number (303503760).

Almost surely, 214233423224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14233423224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19424240640).

14233423224 is an abundant number, since it is smaller than the sum of its proper divisors (24615058056).

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

14233423224 is a wasteful number, since it uses less digits than its factorization.

14233423224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13501 (or 13497 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

Adding to 14233423224 its reverse (42232433241), we get a palindrome (56465856465).

The spelling of 14233423224 in words is "fourteen billion, two hundred thirty-three million, four hundred twenty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 23 24 41 46 47 69 82 92 94 123 138 141 164 184 188 246 276 282 328 376 492 552 564 943 984 1081 1128 1886 1927 2162 2829 3243 3772 3854 4324 5658 5781 6486 7544 7708 8648 11316 11562 12972 13381 15416 22632 23124 25944 26762 40143 44321 46248 53524 80286 88642 107048 132963 160572 177284 265926 307763 321144 354568 531852 548621 615526 628907 923289 1063704 1097242 1231052 1257814 1645863 1846578 1886721 2194484 2462104 2515628 3291726 3693156 3773442 4388968 5031256 6583452 7386312 7546884 12618283 13166904 14464861 15093768 25236566 25785187 28929722 37854849 43394583 50473132 51570374 57859444 75709698 77355561 86789166 100946264 103140748 115718888 151419396 154711122 173578332 206281496 302838792 309422244 347156664 593059301 618844488 1186118602 1779177903 2372237204 3558355806 4744474408 7116711612 14233423224