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132142434140 = 2252910716313063
BaseRepresentation
bin111101100010001001…
…1011000011101011100
3110122002020022011202102
41323010103120131130
54131111430343030
6140412210544232
712355420105013
oct1730423303534
9418066264672
10132142434140
115104aa60662
122173a298078
13c5cb9cc142
146577c3da7a
153685eadc45
hex1ec44d875c

132142434140 has 96 divisors (see below), whose sum is σ = 291550855680. Its totient is φ = 50243348736.

The previous prime is 132142434029. The next prime is 132142434161. The reversal of 132142434140 is 41434241231.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10109249 + ... + 10122311.

It is an arithmetic number, because the mean of its divisors is an integer number (3036988080).

Almost surely, 2132142434140 is an apocalyptic number.

132142434140 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 132142434140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145775427840).

132142434140 is an abundant number, since it is smaller than the sum of its proper divisors (159408421540).

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

132142434140 is a wasteful number, since it uses less digits than its factorization.

132142434140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13371 (or 13369 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 132142434140 its reverse (41434241231), we get a palindrome (173576675371).

The spelling of 132142434140 in words is "one hundred thirty-two billion, one hundred forty-two million, four hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 107 116 145 163 214 290 326 428 535 580 652 815 1070 1630 2140 3103 3260 4727 6206 9454 12412 13063 15515 17441 18908 23635 26126 31030 34882 47270 52252 62060 65315 69764 87205 94540 130630 174410 261260 348820 378827 505789 757654 1011578 1397741 1515308 1894135 2023156 2129269 2528945 2795482 3788270 4258538 5057890 5590964 6988705 7576540 8517076 10115780 10646345 13977410 21292690 27954820 40534489 42585380 61748801 81068978 123497602 162137956 202672445 227831783 246995204 308744005 405344890 455663566 617488010 810689780 911327132 1139158915 1234976020 2278317830 4556635660 6607121707 13214243414 26428486828 33035608535 66071217070 132142434140