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132032023440345 = 3457263177080389
BaseRepresentation
bin11110000001010100011001…
…110110110010101111011001
3122022111010201201121110110000
4132001110121312302233121
5114301203041000042340
61144450401344243213
736544666424025420
oct3601243166625731
9568433651543400
10132032023440345
1139084515189796
1212984835610509
135889749475012
142486553ad42b7
15103e6c8b42d30
hex781519db2bd9

132032023440345 has 80 divisors (see below), whose sum is σ = 271519486951680. Its totient is φ = 60127999906176.

The previous prime is 132032023440319. The next prime is 132032023440353. The reversal of 132032023440345 is 543044320230231.

132032023440345 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 3 + 202 + 3 + 4 + 403 + 45 = 666.

It is not a de Polignac number, because 132032023440345 - 25 = 132032023440313 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 87794590 + ... + 89285799.

It is an arithmetic number, because the mean of its divisors is an integer number (3393993586896).

Almost surely, 2132032023440345 is an apocalyptic number.

132032023440345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132032023440345 is an abundant number, since it is smaller than the sum of its proper divisors (139487463511335).

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

132032023440345 is a wasteful number, since it uses less digits than its factorization.

132032023440345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177080676 (or 177080667 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 132032023440345 its reverse (543044320230231), we get a palindrome (675076343670576).

The spelling of 132032023440345 in words is "one hundred thirty-two trillion, thirty-two billion, twenty-three million, four hundred forty thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 263 315 405 567 789 945 1315 1841 2367 2835 3945 5523 7101 9205 11835 16569 21303 27615 35505 49707 82845 106515 149121 248535 745605 177080389 531241167 885401945 1239562723 1593723501 2656205835 3718688169 4781170503 6197813615 7968617505 11156064507 14343511509 18593440845 23905852515 33468193521 46572142307 55780322535 71717557545 100404580563 139716426921 167340967605 232860711535 326004996149 419149280763 502022902815 698582134605 978014988447 1257447842289 1630024980745 2095746403815 2934044965341 3772343526867 4890074942235 6287239211445 8802134896023 14670224826705 18861717634335 26406404688069 44010674480115 132032023440345