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1404323225440 = 25579157707653
BaseRepresentation
bin10100011011111000001…
…011111101111101100000
311222020210200220101212121
4110123320023331331200
5141002023221203230
62553045344234024
7203313303314602
oct24337013757540
94866720811777
101404323225440
114a162a939583
121a820100b914
13a2572498935
144bd8085b172
15267e298077a
hex146f82fdf60

1404323225440 has 96 divisors (see below), whose sum is σ = 3381114199680. Its totient is φ = 551085410304.

The previous prime is 1404323225411. The next prime is 1404323225477. The reversal of 1404323225440 is 445223234041.

It is a junction number, because it is equal to n+sod(n) for n = 1404323225396 and 1404323225405.

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 15 ways as a sum of consecutive naturals, for example, 1630654 + ... + 2338306.

It is an arithmetic number, because the mean of its divisors is an integer number (35219939580).

Almost surely, 21404323225440 is an apocalyptic number.

1404323225440 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 1404323225440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690557099840).

1404323225440 is an abundant number, since it is smaller than the sum of its proper divisors (1976790974240).

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

1404323225440 is a wasteful number, since it uses less digits than its factorization.

1404323225440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707904 (or 707896 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 34.

Adding to 1404323225440 its reverse (445223234041), we get a palindrome (1849546459481).

The spelling of 1404323225440 in words is "one trillion, four hundred four billion, three hundred twenty-three million, two hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 79 80 157 158 160 314 316 395 628 632 785 790 1256 1264 1570 1580 2512 2528 3140 3160 5024 6280 6320 12403 12560 12640 24806 25120 49612 62015 99224 124030 198448 248060 396896 496120 707653 992240 1415306 1984480 2830612 3538265 5661224 7076530 11322448 14153060 22644896 28306120 55904587 56612240 111101521 111809174 113224480 222203042 223618348 279522935 444406084 447236696 555507605 559045870 888812168 894473392 1111015210 1118091740 1777624336 1788946784 2222030420 2236183480 3555248672 4444060840 4472366960 8777020159 8888121680 8944733920 17554040318 17776243360 35108080636 43885100795 70216161272 87770201590 140432322544 175540403180 280864645088 351080806360 702161612720 1404323225440