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132022033040 = 2451650275413
BaseRepresentation
bin111101011110100100…
…0000101101010010000
3110121202211202011111102
41322331020011222100
54130340120024130
6140352230203532
712352425523262
oct1727510055220
9417684664442
10132022033040
1150a98aa5517
1221705ab35a8
13c5aca947a1
146565c5bb32
15367a629645
hex1ebd205a90

132022033040 has 20 divisors (see below), whose sum is σ = 306951227004. Its totient is φ = 52808813184.

The previous prime is 132022033027. The next prime is 132022033057. The reversal of 132022033040 is 40330220231.

It can be written as a sum of positive squares in 2 ways, for example, as 22929227776 + 109092805264 = 151424^2 + 330292^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 825137627 + ... + 825137786.

Almost surely, 2132022033040 is an apocalyptic number.

132022033040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132022033040 is an abundant number, since it is smaller than the sum of its proper divisors (174929193964).

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

132022033040 is a wasteful number, since it uses less digits than its factorization.

132022033040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650275426 (or 1650275420 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 132022033040 its reverse (40330220231), we get a palindrome (172352253271).

The spelling of 132022033040 in words is "one hundred thirty-two billion, twenty-two million, thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1650275413 3300550826 6601101652 8251377065 13202203304 16502754130 26404406608 33005508260 66011016520 132022033040