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132140665305 = 3351188983613
BaseRepresentation
bin111101100010000110…
…0101000100111011001
3110122002002222022101000
41323010030220213121
54131111002242210
6140412105015213
712355366060035
oct1730414504731
9418062868330
10132140665305
1151049a62710
1221739784509
13c5cb52ccac
1465778dd1c5
153685c5eac0
hex1ec43289d9

132140665305 has 32 divisors (see below), whose sum is σ = 256272808320. Its totient is φ = 64068200640.

The previous prime is 132140665277. The next prime is 132140665309. The reversal of 132140665305 is 503566041231.

132140665305 is a `hidden beast` number, since 1 + 3 + 21 + 40 + 66 + 530 + 5 = 666.

It is not a de Polignac number, because 132140665305 - 212 = 132140661209 is a prime.

It is a super-2 number, since 2×1321406653052 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132140665305.

It is not an unprimeable number, because it can be changed into a prime (132140665309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44490322 + ... + 44493291.

It is an arithmetic number, because the mean of its divisors is an integer number (8008525260).

Almost surely, 2132140665305 is an apocalyptic number.

132140665305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132140665305 is a deficient number, since it is larger than the sum of its proper divisors (124132143015).

132140665305 is a wasteful number, since it uses less digits than its factorization.

132140665305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88983638 (or 88983632 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 132140665305 in words is "one hundred thirty-two billion, one hundred forty million, six hundred sixty-five thousand, three hundred five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 297 495 1485 88983613 266950839 444918065 800852517 978819743 1334754195 2402557551 2936459229 4004262585 4894098715 8809377687 12012787755 14682296145 26428133061 44046888435 132140665305