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132131050240 = 285717867457
BaseRepresentation
bin111101100001110011…
…1111101001100000000
3110122001102212210222111
41323003213331030000
54131101022101430
6140411122545104
712355221252550
oct1730347751400
9418042783874
10132131050240
1151044595782
1221736508194
13c5c95446c7
146576519160
153684eb0c2a
hex1ec39fd300

132131050240 has 144 divisors (see below), whose sum is σ = 382986176832. Its totient is φ = 42637197312.

The previous prime is 132131050229. The next prime is 132131050241. The reversal of 132131050240 is 42050131231.

It is a happy number.

It is a super-2 number, since 2×1321310502402 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132131050241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 281409 + ... + 586048.

It is an arithmetic number, because the mean of its divisors is an integer number (2659626228).

Almost surely, 2132131050240 is an apocalyptic number.

132131050240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132131050240 is an abundant number, since it is smaller than the sum of its proper divisors (250855126592).

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

132131050240 is an equidigital number, since it uses as much as digits as its factorization.

132131050240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867502 (or 867488 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 132131050240 its reverse (42050131231), we get a palindrome (174181181471).

The spelling of 132131050240 in words is "one hundred thirty-two billion, one hundred thirty-one million, fifty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 64 68 70 80 85 112 119 128 136 140 160 170 224 238 256 272 280 320 340 448 476 544 560 595 640 680 896 952 1088 1120 1190 1280 1360 1792 1904 2176 2240 2380 2720 3808 4352 4480 4760 5440 7616 8960 9520 10880 15232 19040 21760 30464 38080 76160 152320 867457 1734914 3469828 4337285 6072199 6939656 8674570 12144398 13879312 14746769 17349140 24288796 27758624 29493538 30360995 34698280 48577592 55517248 58987076 60721990 69396560 73733845 97155184 103227383 111034496 117974152 121443980 138793120 147467690 194310368 206454766 222068992 235948304 242887960 277586240 294935380 388620736 412909532 471896608 485775920 516136915 555172480 589870760 777241472 825819064 943793216 971551840 1032273830 1110344960 1179741520 1554482944 1651638128 1887586432 1943103680 2064547660 2359483040 3303276256 3775172864 3886207360 4129095320 4718966080 6606552512 7772414720 8258190640 9437932160 13213105024 16516381280 18875864320 26426210048 33032762560 66065525120 132131050240