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132422334140020 = 225173055312747601
BaseRepresentation
bin11110000110111111111010…
…001011111100111001110100
3122100212110012011001101010211
4132012333322023330321310
5114324101420014440040
61145345551441155204
736615124613156431
oct3606777213747164
9570773164041124
10132422334140020
1139214aa6419371
1212a2840392bb04
1358b74ac59bb52
14249b3bd0d0b88
15104991eaa28ea
hex786ffa2fce74

132422334140020 has 48 divisors (see below), whose sum is σ = 294454615020048. Its totient is φ = 49851478425600.

The previous prime is 132422334139999. The next prime is 132422334140027. The reversal of 132422334140020 is 20041433224231.

It can be written as a sum of positive squares in 8 ways, for example, as 22710828985744 + 109711505154276 = 4765588^2 + 10474326^2 .

It is a super-2 number, since 2×1324223341400202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132422334140027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4014220 + ... + 16761820.

It is an arithmetic number, because the mean of its divisors is an integer number (6134471146251).

Almost surely, 2132422334140020 is an apocalyptic number.

132422334140020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132422334140020 is an abundant number, since it is smaller than the sum of its proper divisors (162032280880028).

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

132422334140020 is a wasteful number, since it uses less digits than its factorization.

132422334140020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12778180 (or 12778178 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 132422334140020 its reverse (20041433224231), we get a palindrome (152463767364251).

The spelling of 132422334140020 in words is "one hundred thirty-two trillion, four hundred twenty-two billion, three hundred thirty-four million, one hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 30553 61106 122212 152765 305530 519401 611060 1038802 2077604 2597005 5194010 10388020 12747601 25495202 50990404 63738005 127476010 216709217 254952020 433418434 866836868 1083546085 2167092170 4334184340 389477453353 778954906706 1557909813412 1947387266765 3894774533530 6621116707001 7789549067060 13242233414002 26484466828004 33105583535005 66211167070010 132422334140020