Search a number
-
+
132442232340 = 223511200670049
BaseRepresentation
bin111101101011000101…
…1000001011000010100
3110122212010102111120110
41323112023001120110
54132220202413330
6140502040403020
712366020254155
oct1732613013024
9418763374513
10132442232340
1151194207470
1221802776470
13c648b59122
1465a599d92c
1536a247cdb0
hex1ed62c1614

132442232340 has 48 divisors (see below), whose sum is σ = 404550820800. Its totient is φ = 32107207680.

The previous prime is 132442232311. The next prime is 132442232369. The reversal of 132442232340 is 43232244231.

It is an interprime number because it is at equal distance from previous prime (132442232311) and next prime (132442232369).

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 = 132442232298 and 132442232307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100334365 + ... + 100335684.

It is an arithmetic number, because the mean of its divisors is an integer number (8428142100).

Almost surely, 2132442232340 is an apocalyptic number.

132442232340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132442232340 is an abundant number, since it is smaller than the sum of its proper divisors (272108588460).

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

132442232340 is a wasteful number, since it uses less digits than its factorization.

132442232340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200670072 (or 200670070 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 132442232340 its reverse (43232244231), we get a palindrome (175674476571).

The spelling of 132442232340 in words is "one hundred thirty-two billion, four hundred forty-two million, two hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 200670049 401340098 602010147 802680196 1003350245 1204020294 2006700490 2207370539 2408040588 3010050735 4013400980 4414741078 6020101470 6622111617 8829482156 11036852695 12040202940 13244223234 22073705390 26488446468 33110558085 44147410780 66221116170 132442232340