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132444214299 = 32197110908839
BaseRepresentation
bin111101101011001001…
…0100101010000011011
3110122212021011012022100
41323112102211100123
54132221204324144
6140502151054443
712366043150365
oct1732622452033
9418767135270
10132444214299
1151195340551
1221803371423
13c6493a1297
1465a5d57d35
1536a2720269
hex1ed64a541b

132444214299 has 24 divisors (see below), whose sum is σ = 204213484800. Its totient is φ = 82470815280.

The previous prime is 132444214213. The next prime is 132444214303. The reversal of 132444214299 is 992412444231.

132444214299 is a `hidden beast` number, since 132 + 4 + 4 + 421 + 4 + 2 + 99 = 666.

It is not a de Polignac number, because 132444214299 - 212 = 132444210203 is a prime.

It is a super-2 number, since 2×1324442142992 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132444214099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5442279 + ... + 5466560.

It is an arithmetic number, because the mean of its divisors is an integer number (8508895200).

Almost surely, 2132444214299 is an apocalyptic number.

132444214299 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

132444214299 is a deficient number, since it is larger than the sum of its proper divisors (71769270501).

132444214299 is a wasteful number, since it uses less digits than its factorization.

132444214299 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10908935 (or 10908932 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 132444214299 in words is "one hundred thirty-two billion, four hundred forty-four million, two hundred fourteen thousand, two hundred ninety-nine".

Divisors: 1 3 9 19 57 71 171 213 639 1349 4047 12141 10908839 32726517 98179551 207267941 621803823 774527569 1865411469 2323582707 6970748121 14716023811 44148071433 132444214299