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114224013330 = 23573078632053
BaseRepresentation
bin110101001100001001…
…0000010000000010010
3101220211110122002100020
41222120102002000102
53332412321411310
6124250201004310
711152402044060
oct1523022020022
9356743562306
10114224013330
1144495528919
121a179483696
13aa0466298b
1457581ab030
152e87d6c170
hex1a98482012

114224013330 has 128 divisors (see below), whose sum is σ = 314838171648. Its totient is φ = 25980486912.

The previous prime is 114224013307. The next prime is 114224013347. The reversal of 114224013330 is 33310422411.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 114224013330.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55636584 + ... + 55638636.

It is an arithmetic number, because the mean of its divisors is an integer number (2459673216).

Almost surely, 2114224013330 is an apocalyptic number.

114224013330 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 114224013330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157419085824).

114224013330 is an abundant number, since it is smaller than the sum of its proper divisors (200614158318).

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

114224013330 is a wasteful number, since it uses less digits than its factorization.

114224013330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3240.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 114224013330 its reverse (33310422411), we get a palindrome (147534435741).

The spelling of 114224013330 in words is "one hundred fourteen billion, two hundred twenty-four million, thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 307 614 863 921 1535 1726 1842 2053 2149 2589 3070 4106 4298 4315 4605 5178 6041 6159 6447 8630 9210 10265 10745 12082 12318 12894 12945 14371 18123 20530 21490 25890 28742 30205 30795 32235 36246 43113 60410 61590 64470 71855 86226 90615 143710 181230 215565 264941 431130 529882 630271 794823 1260542 1324705 1589646 1771739 1854587 1890813 2649410 3151355 3543478 3709174 3781626 3974115 4411897 5315217 5563761 6302710 7948230 8823794 8858695 9272935 9454065 10630434 11127522 12402173 13235691 17717390 18545870 18908130 22059485 24804346 26471382 26576085 27818805 37206519 44118970 53152170 55637610 62010865 66178455 74413038 124021730 132356910 186032595 372065190 543923873 1087847746 1631771619 2719619365 3263543238 3807467111 5439238730 7614934222 8158858095 11422401333 16317716190 19037335555 22844802666 38074671110 57112006665 114224013330