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114412303330 = 25131761213913
BaseRepresentation
bin110101010001110000…
…0010011001111100010
3101221022120221012122221
41222203200103033202
53333304022201310
6124321004421254
711160146350363
oct1524340231742
9357276835587
10114412303330
1144581842996
121a21054782a
13aa34679c90
1457751c1b6a
152e99661ada
hex1aa38133e2

114412303330 has 96 divisors (see below), whose sum is σ = 238759898832. Its totient is φ = 39104962560.

The previous prime is 114412303319. The next prime is 114412303339. The reversal of 114412303330 is 33303214411.

It can be written as a sum of positive squares in 24 ways, for example, as 41791216041 + 72621087289 = 204429^2 + 269483^2 .

It is a junction number, because it is equal to n+sod(n) for n = 114412303295 and 114412303304.

It is not an unprimeable number, because it can be changed into a prime (114412303339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8216454 + ... + 8230366.

Almost surely, 2114412303330 is an apocalyptic number.

114412303330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114412303330 is an abundant number, since it is smaller than the sum of its proper divisors (124347595502).

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

114412303330 is a wasteful number, since it uses less digits than its factorization.

114412303330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14072 (or 14011 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 114412303330 its reverse (33303214411), we get a palindrome (147715517741).

The spelling of 114412303330 in words is "one hundred fourteen billion, four hundred twelve million, three hundred three thousand, three hundred thirty".

Divisors: 1 2 5 10 13 17 26 34 61 65 85 122 130 170 221 305 442 610 793 1037 1105 1586 2074 2210 3721 3965 5185 7442 7930 10370 13481 13913 18605 26962 27826 37210 48373 63257 67405 69565 96746 126514 134810 139130 180869 236521 241865 316285 361738 473042 483730 632570 822341 848693 904345 1182605 1644682 1697386 1808690 2365210 3074773 4111705 4243465 6149546 8223410 8486930 11033009 14427781 15373865 22066018 28855562 30747730 51770273 55165045 72138905 103540546 110330090 144277810 187561153 258851365 375122306 517702730 673013549 880094641 937805765 1346027098 1760189282 1875611530 3365067745 4400473205 6730135490 8800946410 11441230333 22882460666 57206151665 114412303330