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1332432331120 = 2451110491443401
BaseRepresentation
bin10011011000111011001…
…001111110000101110000
311201101020111111120122001
4103120323021332011300
5133312310134043440
62500035545023344
7165156625641532
oct23307311760560
94641214446561
101332432331120
11474099350630
12196298a84b54
1398856388207
14486c0a6b852
15249d635eb9a
hex1363b27e170

1332432331120 has 80 divisors (see below), whose sum is σ = 3382756927200. Its totient is φ = 484058624000.

The previous prime is 1332432331091. The next prime is 1332432331127. The reversal of 1332432331120 is 211332342331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332432331127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201420 + ... + 1644820.

It is an arithmetic number, because the mean of its divisors is an integer number (42284461590).

Almost surely, 21332432331120 is an apocalyptic number.

1332432331120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1332432331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691378463600).

1332432331120 is an abundant number, since it is smaller than the sum of its proper divisors (2050324596080).

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

1332432331120 is a wasteful number, since it uses less digits than its factorization.

1332432331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444474 (or 1444468 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 1332432331120 its reverse (211332342331), we get a palindrome (1543764673451).

The spelling of 1332432331120 in words is "one trillion, three hundred thirty-two billion, four hundred thirty-two million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1049 2098 4196 5245 8392 10490 11539 16784 20980 23078 41960 46156 57695 83920 92312 115390 184624 230780 461560 923120 1443401 2886802 5773604 7217005 11547208 14434010 15877411 23094416 28868020 31754822 57736040 63509644 79387055 115472080 127019288 158774110 254038576 317548220 635096440 1270192880 1514127649 3028255298 6056510596 7570638245 12113021192 15141276490 16655404139 24226042384 30282552980 33310808278 60565105960 66621616556 83277020695 121130211920 133243233112 166554041390 266486466224 333108082780 666216165560 1332432331120