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132310422432 = 2533153137063
BaseRepresentation
bin111101100111001010…
…0001101001110100000
3110122111221101212101000
41323032110031032200
54131432432004212
6140441011312000
712362530014546
oct1731624151640
9418457355330
10132310422432
1151126869761
12217865ab600
13c6277588b6
14659228bd96
153695ae31dc
hex1ece50d3a0

132310422432 has 48 divisors (see below), whose sum is σ = 385905401280. Its totient is φ = 44103473856.

The previous prime is 132310422427. The next prime is 132310422451. The reversal of 132310422432 is 234224013231.

132310422432 is a `hidden beast` number, since 1 + 3 + 231 + 0 + 422 + 4 + 3 + 2 = 666.

132310422432 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 132310422396 and 132310422405.

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, 76567668 + ... + 76569395.

It is an arithmetic number, because the mean of its divisors is an integer number (8039695860).

Almost surely, 2132310422432 is an apocalyptic number.

132310422432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132310422432 is an abundant number, since it is smaller than the sum of its proper divisors (253594978848).

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

132310422432 is a wasteful number, since it uses less digits than its factorization.

132310422432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153137082 (or 153137068 counting only the distinct ones).

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

Adding to 132310422432 its reverse (234224013231), we get a palindrome (366534435663).

The spelling of 132310422432 in words is "one hundred thirty-two billion, three hundred ten million, four hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 153137063 306274126 459411189 612548252 918822378 1225096504 1378233567 1837644756 2450193008 2756467134 3675289512 4134700701 4900386016 5512934268 7350579024 8269401402 11025868536 14701158048 16538802804 22051737072 33077605608 44103474144 66155211216 132310422432