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132444313020 = 22325748998251
BaseRepresentation
bin111101101011001001…
…0111101010110111100
3110122212021100012201200
41323112102331112330
54132221221004040
6140502153135500
712366044041245
oct1732622752674
9418767305650
10132444313020
11511953a8738
12218033ba590
13c6494071b6
1465a5d81ccc
1536a273e630
hex1ed64bd5bc

132444313020 has 72 divisors (see below), whose sum is σ = 401805484080. Its totient is φ = 35313408000.

The previous prime is 132444313019. The next prime is 132444313037. The reversal of 132444313020 is 20313444231.

132444313020 is a `hidden beast` number, since 1 + 324 + 4 + 4 + 31 + 302 + 0 = 666.

132444313020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1298895 + ... + 1397145.

Almost surely, 2132444313020 is an apocalyptic number.

132444313020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132444313020 is an abundant number, since it is smaller than the sum of its proper divisors (269361171060).

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

132444313020 is a wasteful number, since it uses less digits than its factorization.

132444313020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105755 (or 105750 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 132444313020 its reverse (20313444231), we get a palindrome (152757757251).

The spelling of 132444313020 in words is "one hundred thirty-two billion, four hundred forty-four million, three hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 7489 14978 22467 29956 37445 44934 67401 74890 89868 98251 112335 134802 149780 196502 224670 269604 294753 337005 393004 449340 491255 589506 674010 884259 982510 1179012 1348020 1473765 1768518 1965020 2947530 3537036 4421295 5895060 8842590 17685180 735801739 1471603478 2207405217 2943206956 3679008695 4414810434 6622215651 7358017390 8829620868 11037026085 13244431302 14716034780 22074052170 26488862604 33111078255 44148104340 66222156510 132444313020