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1032240431120 = 245174431713319
BaseRepresentation
bin11110000010101100101…
…00110000000000010000
310122200101121111000120112
433001112110300000100
5113403012022243440
62110112114500452
7134401610616023
oct17012624600020
93580347430515
101032240431120
113688528a3a98
1214807b294728
137645587a112
1437d642551ba
151bcb6de6965
hexf056530010

1032240431120 has 80 divisors (see below), whose sum is σ = 2546870739840. Its totient is φ = 387730716672.

The previous prime is 1032240431107. The next prime is 1032240431291. The reversal of 1032240431120 is 211340422301.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254180 + ... + 1459139.

It is an arithmetic number, because the mean of its divisors is an integer number (31835884248).

Almost surely, 21032240431120 is an apocalyptic number.

1032240431120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1032240431120 is an abundant number, since it is smaller than the sum of its proper divisors (1514630308720).

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

1032240431120 is a wasteful number, since it uses less digits than its factorization.

1032240431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713792 (or 1713786 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 1032240431120 its reverse (211340422301), we get a palindrome (1243580853421).

The spelling of 1032240431120 in words is "one trillion, thirty-two billion, two hundred forty million, four hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 443 680 886 1360 1772 2215 3544 4430 7088 7531 8860 15062 17720 30124 35440 37655 60248 75310 120496 150620 301240 602480 1713319 3426638 6853276 8566595 13706552 17133190 27413104 29126423 34266380 58252846 68532760 116505692 137065520 145632115 233011384 291264230 466022768 582528460 759000317 1165056920 1518000634 2330113840 3036001268 3795001585 6072002536 7590003170 12144005072 12903005389 15180006340 25806010778 30360012680 51612021556 60720025360 64515026945 103224043112 129030053890 206448086224 258060107780 516120215560 1032240431120