Search a number
-
+
132422323014 = 23416712773833
BaseRepresentation
bin111101101010011111…
…1000100101101000110
3110122210201222000010000
41323110333010231012
54132200103314024
6140500045542130
712365356113402
oct1732477045506
9418721860100
10132422323014
1151183a49283
12217b7b74946
13c6449a8067
1465a309a102
1536a0848cc9
hex1ed4fc4b46

132422323014 has 80 divisors (see below), whose sum is σ = 298812574368. Its totient is φ = 43830661248.

The previous prime is 132422323003. The next prime is 132422323063. The reversal of 132422323014 is 410323224231.

132422323014 is a `hidden beast` number, since 1 + 3 + 2 + 422 + 3 + 230 + 1 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34546042 + ... + 34549874.

Almost surely, 2132422323014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132422323014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149406287184).

132422323014 is an abundant number, since it is smaller than the sum of its proper divisors (166390251354).

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

132422323014 is a wasteful number, since it uses less digits than its factorization.

132422323014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5291 (or 5282 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 132422323014 its reverse (410323224231), we get a palindrome (542745547245).

The spelling of 132422323014 in words is "one hundred thirty-two billion, four hundred twenty-two million, three hundred twenty-three thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 167 334 501 1002 1277 1503 2554 3006 3831 3833 4509 7662 7666 9018 11493 11499 13527 22986 22998 27054 34479 34497 68958 68994 103437 103491 206874 206982 213259 310473 426518 620946 639777 640111 1279554 1280222 1919331 1920333 3838662 3840666 4894741 5757993 5760999 9789482 11515986 11521998 14684223 17273979 17282997 29368446 34547958 34565994 44052669 51848991 88105338 103697982 132158007 264316014 396474021 792948042 817421747 1634843494 2452265241 4904530482 7356795723 14713591446 22070387169 44140774338 66211161507 132422323014