Search a number
-
+
132964416240 = 2435554018401
BaseRepresentation
bin111101111010101001…
…0111111101011110000
3110201012112000012012220
41323311102333223300
54134302342304430
6141025532521040
712414660614205
oct1736522775360
9421175005186
10132964416240
1151431a45a07
1221929620180
13c7000aa696
14661508bcac
1536d3229110
hex1ef54bfaf0

132964416240 has 40 divisors (see below), whose sum is σ = 412189691088. Its totient is φ = 35457177600.

The previous prime is 132964416239. The next prime is 132964416329. The reversal of 132964416240 is 42614469231.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 132964416192 and 132964416201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 277008961 + ... + 277009440.

Almost surely, 2132964416240 is an apocalyptic number.

132964416240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132964416240 is an abundant number, since it is smaller than the sum of its proper divisors (279225274848).

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

132964416240 is a wasteful number, since it uses less digits than its factorization.

132964416240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554018417 (or 554018411 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 132964416240 in words is "one hundred thirty-two billion, nine hundred sixty-four million, four hundred sixteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 554018401 1108036802 1662055203 2216073604 2770092005 3324110406 4432147208 5540184010 6648220812 8310276015 8864294416 11080368020 13296441624 16620552030 22160736040 26592883248 33241104060 44321472080 66482208120 132964416240