Search a number
-
+
132302134500240 = 24354713781851093
BaseRepresentation
bin11110000101001111111101…
…101110101101101110010000
3122100102221221020020000100110
4132011033331232231232100
5114320114232413001430
61145214432253521320
736603341141120025
oct3605177556555620
9570387836200313
10132302134500240
11391790248a79a1
1212a090591a3240
1358a9064c25443
14249565945b54c
1510467373147b0
hex7853fdbadb90

132302134500240 has 160 divisors (see below), whose sum is σ = 418893814365696. Its totient is φ = 34527372605440.

The previous prime is 132302134500157. The next prime is 132302134500253. The reversal of 132302134500240 is 42005431203231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 132302134500198 and 132302134500207.

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, 155024134 + ... + 155875226.

Almost surely, 2132302134500240 is an apocalyptic number.

132302134500240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132302134500240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209446907182848).

132302134500240 is an abundant number, since it is smaller than the sum of its proper divisors (286591679865456).

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

132302134500240 is a wasteful number, since it uses less digits than its factorization.

132302134500240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864937 (or 864931 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 132302134500240 its reverse (42005431203231), we get a palindrome (174307565703471).

The spelling of 132302134500240 in words is "one hundred thirty-two trillion, three hundred two billion, one hundred thirty-four million, five hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 705 752 940 1128 1410 1880 2256 2820 3760 5640 11280 13781 27562 41343 55124 68905 82686 110248 137810 165372 206715 220496 275620 330744 413430 551240 647707 661488 826860 851093 1102480 1295414 1653720 1702186 1943121 2553279 2590828 3238535 3307440 3404372 3886242 4255465 5106558 5181656 6477070 6808744 7772484 8510930 9715605 10213116 10363312 12766395 12954140 13617488 15544968 17021860 19431210 20426232 25532790 25908280 31089936 34043720 38862420 40001371 40852464 51065580 51816560 68087440 77724840 80002742 102131160 120004113 155449680 160005484 200006855 204262320 240008226 320010968 400013710 480016452 600020565 640021936 800027420 960032904 1200041130 1600054840 1920065808 2400082260 3200109680 4800164520 9600329040 11728912633 23457825266 35186737899 46915650532 58644563165 70373475798 93831301064 117289126330 140746951596 175933689495 187662602128 234578252660 281493903192 351867378990 469156505320 551258893751 562987806384 703734757980 938313010640 1102517787502 1407469515960 1653776681253 2205035575004 2756294468755 2814939031920 3307553362506 4410071150008 5512588937510 6615106725012 8268883406265 8820142300016 11025177875020 13230213450024 16537766812530 22050355750040 26460426900048 33075533625060 44100711500080 66151067250120 132302134500240