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132215131416410 = 25722381113324989
BaseRepresentation
bin11110000011111110111011…
…111100010010011101011010
3122100010122100211120102100022
4132003332323330102131122
5114312203042120311120
61145110443131510442
736564141132113300
oct3603767374223532
9570118324512308
10132215131416410
1139145138930329
12129b4217bb8422
1358a0aaac77b53
1424913645a2270
15104434411d025
hex783fbbf1275a

132215131416410 has 48 divisors (see below), whose sum is σ = 276958569460680. Its totient is φ = 45311863201920.

The previous prime is 132215131416391. The next prime is 132215131416479. The reversal of 132215131416410 is 14614131512231.

It can be written as a sum of positive squares in 4 ways, for example, as 27299339665129 + 104915791751281 = 5224877^2 + 10242841^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

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 23 ways as a sum of consecutive naturals, for example, 55495805 + ... + 57829184.

Almost surely, 2132215131416410 is an apocalyptic number.

132215131416410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132215131416410 is an abundant number, since it is smaller than the sum of its proper divisors (144743438044270).

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

132215131416410 is a wasteful number, since it uses less digits than its factorization.

132215131416410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113327391 (or 113327384 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

Adding to 132215131416410 its reverse (14614131512231), we get a palindrome (146829262928641).

The spelling of 132215131416410 in words is "one hundred thirty-two trillion, two hundred fifteen billion, one hundred thirty-one million, four hundred sixteen thousand, four hundred ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 2381 4762 11905 16667 23810 33334 83335 116669 166670 233338 583345 1166690 113324989 226649978 566624945 793274923 1133249890 1586549846 3966374615 5552924461 7932749230 11105848922 27764622305 55529244610 269826798809 539653597618 1349133994045 1888787591663 2698267988090 3777575183326 9443937958315 13221513141641 18887875916630 26443026283282 66107565708205 132215131416410