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132269513440 = 2555914011601
BaseRepresentation
bin111101100101111100…
…0001001101011100000
3110122102002102110210011
41323023320021223200
54131341443412230
6140432550414304
712361522212421
oct1731370115340
9418362373704
10132269513440
1151105768179
1221774961394
13c61c1343ac
14658aa7d648
153692211e2a
hex1ecbe09ae0

132269513440 has 48 divisors (see below), whose sum is σ = 317783133360. Its totient is φ = 52011059200.

The previous prime is 132269513429. The next prime is 132269513447. The reversal of 132269513440 is 44315962231.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 132269513393 and 132269513402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132269513447) 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 7 ways as a sum of consecutive naturals, for example, 6996361 + ... + 7015240.

It is an arithmetic number, because the mean of its divisors is an integer number (6620481945).

Almost surely, 2132269513440 is an apocalyptic number.

132269513440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132269513440 is an abundant number, since it is smaller than the sum of its proper divisors (185513619920).

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

132269513440 is a wasteful number, since it uses less digits than its factorization.

132269513440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14011675 (or 14011667 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 132269513440 in words is "one hundred thirty-two billion, two hundred sixty-nine million, five hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 80 118 160 236 295 472 590 944 1180 1888 2360 4720 9440 14011601 28023202 56046404 70058005 112092808 140116010 224185616 280232020 448371232 560464040 826684459 1120928080 1653368918 2241856160 3306737836 4133422295 6613475672 8266844590 13226951344 16533689180 26453902688 33067378360 66134756720 132269513440