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132023334433144 = 237114161024489
BaseRepresentation
bin11110000001001100010011…
…111100110111000101111000
3122022110022022011201011100111
4132001030103330313011320
5114301032242103330034
61144442403232514104
736544241205500050
oct3601142374670570
9568408264634314
10132023334433144
11390808664a0000
121298300b6ab934
13588899327123b
142485d6bb14560
15103e36ade7364
hex781313f37178

132023334433144 has 80 divisors (see below), whose sum is σ = 311195929374000. Its totient is φ = 51437662446720.

The previous prime is 132023334433129. The next prime is 132023334433213. The reversal of 132023334433144 is 441334433320231.

It is a junction number, because it is equal to n+sod(n) for n = 132023334433097 and 132023334433106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 79692349 + ... + 81332140.

It is an arithmetic number, because the mean of its divisors is an integer number (3889949117175).

Almost surely, 2132023334433144 is an apocalyptic number.

132023334433144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132023334433144 is an abundant number, since it is smaller than the sum of its proper divisors (179172594940856).

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

132023334433144 is an equidigital number, since it uses as much as digits as its factorization.

132023334433144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161024546 (or 161024509 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 40.

Adding to 132023334433144 its reverse (441334433320231), we get a palindrome (573357767753375).

The spelling of 132023334433144 in words is "one hundred thirty-two trillion, twenty-three billion, three hundred thirty-four million, four hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 121 154 242 308 484 616 847 968 1331 1694 2662 3388 5324 6776 9317 10648 14641 18634 29282 37268 58564 74536 102487 117128 204974 409948 819896 161024489 322048978 644097956 1127171423 1288195912 1771269379 2254342846 3542538758 4508685692 7085077516 9017371384 12398885653 14170155032 19483963169 24797771306 38967926338 49595542612 77935852676 99191085224 136387742183 155871705352 214323594859 272775484366 428647189718 545550968732 857294379436 1091101937464 1500265164013 1714588758872 2357559543449 3000530328026 4715119086898 6001060656052 9430238173796 12002121312104 16502916804143 18860476347592 33005833608286 66011667216572 132023334433144