Search a number
-
+
132144244113330 = 232522310196461401
BaseRepresentation
bin11110000010111100111010…
…101110101011111110110010
3122022212212101120121022110200
4132002330322232223332302
5114310022402443111310
61145014121102540030
736556051362016221
oct3602747256537662
9568785346538420
10132144244113330
1139118071899329
12129a2533b97616
1358971c1a610b7
14248bb5bbb6cb8
151042595b8c9c0
hex782f3ababfb2

132144244113330 has 96 divisors (see below), whose sum is σ = 345454464176640. Its totient is φ = 35046013305600.

The previous prime is 132144244113293. The next prime is 132144244113493. The reversal of 132144244113330 is 33311442441231.

132144244113330 is a `hidden beast` number, since 1 + 3 + 2 + 14 + 42 + 441 + 133 + 30 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17220630 + ... + 23682030.

It is an arithmetic number, because the mean of its divisors is an integer number (3598484001840).

Almost surely, 2132144244113330 is an apocalyptic number.

132144244113330 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 132144244113330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172727232088320).

132144244113330 is an abundant number, since it is smaller than the sum of its proper divisors (213310220063310).

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

132144244113330 is a wasteful number, since it uses less digits than its factorization.

132144244113330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6462656 (or 6462653 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 132144244113330 its reverse (33311442441231), we get a palindrome (165455686554561).

The spelling of 132144244113330 in words is "one hundred thirty-two trillion, one hundred forty-four billion, two hundred forty-four million, one hundred thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 223 446 669 1019 1115 1338 2007 2038 2230 3057 3345 4014 5095 6114 6690 9171 10035 10190 15285 18342 20070 30570 45855 91710 227237 454474 681711 1136185 1363422 2045133 2272370 3408555 4090266 6461401 6817110 10225665 12922802 19384203 20451330 32307005 38768406 58152609 64614010 96921015 116305218 193842030 290763045 581526090 1440892423 2881784846 4322677269 6584167619 7204462115 8645354538 12968031807 13168335238 14408924230 19752502857 21613386345 25936063614 32920838095 39505005714 43226772690 59257508571 64840159035 65841676190 98762514285 118515017142 129680318070 197525028570 296287542855 592575085710 1468269379037 2936538758074 4404808137111 7341346895185 8809616274222 13214424411333 14682693790370 22024040685555 26428848822666 44048081371110 66072122056665 132144244113330