Search a number
-
+
132114230199978 = 231310374332212349
BaseRepresentation
bin11110000010100000111101…
…110000101100011010101010
3122022202222220212010112120020
4132002200331300230122222
5114304024420412344403
61144552234532341310
736553636532661525
oct3602407560543252
9568688825115506
10132114230199978
113910636a811a64
1212998758474836
13589441a837160
14248a511989bbc
1510418dac16453
hex78283dc2c6aa

132114230199978 has 64 divisors (see below), whose sum is σ = 287355168172800. Its totient is φ = 40250432982528.

The previous prime is 132114230199949. The next prime is 132114230200003. The reversal of 132114230199978 is 879991032411231.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58610548 + ... + 60822896.

It is an arithmetic number, because the mean of its divisors is an integer number (4489924502700).

Almost surely, 2132114230199978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132114230199978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143677584086400).

132114230199978 is an abundant number, since it is smaller than the sum of its proper divisors (155240937972822).

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

132114230199978 is a wasteful number, since it uses less digits than its factorization.

132114230199978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2219903.

The product of its (nonzero) digits is 5878656, while the sum is 60.

The spelling of 132114230199978 in words is "one hundred thirty-two trillion, one hundred fourteen billion, two hundred thirty million, one hundred ninety-nine thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 13 26 39 78 103 206 309 618 1339 2678 4017 7433 8034 14866 22299 44598 96629 193258 289887 579774 765599 1531198 2212349 2296797 4424698 4593594 6637047 9952787 13274094 19905574 28760537 29858361 57521074 59716722 86281611 172563222 227871947 455743894 683615841 1367231682 2962335311 5924670622 8887005933 16444390117 17774011866 32888780234 49333170351 98666340702 213777071521 427554143042 641331214563 1282662429126 1693772182051 3387544364102 5081316546153 10162633092306 22019038366663 44038076733326 66057115099989 132114230199978