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132444601464 = 23377017871429
BaseRepresentation
bin111101101011001010…
…0000011110001111000
3110122212021212212101210
41323112110003301320
54132221304221324
6140502203243120
712366046352220
oct1732624036170
9418767785353
10132444601464
115119558541a
12218035194a0
13c6494a8586
1465a6019080
1536a2799d29
hex1ed6503c78

132444601464 has 128 divisors (see below), whose sum is σ = 379700006400. Its totient is φ = 37712908800.

The previous prime is 132444601433. The next prime is 132444601501. The reversal of 132444601464 is 464106444231.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 92682702 + ... + 92684130.

It is an arithmetic number, because the mean of its divisors is an integer number (2966406300).

Almost surely, 2132444601464 is an apocalyptic number.

132444601464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132444601464 is an abundant number, since it is smaller than the sum of its proper divisors (247255404936).

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

132444601464 is a wasteful number, since it uses less digits than its factorization.

132444601464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2933 (or 2929 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 39.

The spelling of 132444601464 in words is "one hundred thirty-two billion, four hundred forty-four million, six hundred one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 701 787 1402 1429 1574 2103 2361 2804 2858 3148 4206 4287 4722 4907 5509 5608 5716 6296 8412 8574 9444 9814 10003 11018 11432 14721 16527 16824 17148 18888 19628 20006 22036 29442 30009 33054 34296 39256 40012 44072 58884 60018 66108 80024 117768 120036 132216 240072 551687 1001729 1103374 1124623 1655061 2003458 2206748 2249246 3005187 3310122 3373869 3861809 4006916 4413496 4498492 6010374 6620244 6747738 7012103 7723618 7872361 8013832 8996984 11585427 12020748 13240488 13495476 14024206 15447236 15744722 21036309 23170854 23617083 24041496 26990952 28048412 30894472 31489444 42072618 46341708 47234166 56096824 62978888 84145236 92683416 94468332 168290472 188936664 788360723 1576721446 2365082169 3153442892 4730164338 5518525061 6306885784 9460328676 11037050122 16555575183 18920657352 22074100244 33111150366 44148200488 66222300732 132444601464