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9313141440 = 263573132893
BaseRepresentation
bin10001010110001101…
…10100001011000000
3220001001022121022110
420223012310023000
5123033131011230
64140044535320
7446534252601
oct105306641300
926031277273
109313141440
113a4a031009
12197ab51540
13b555cc7a5
14644c49da8
153979344b0
hex22b1b42c0

9313141440 has 112 divisors (see below), whose sum is σ = 29974507488. Its totient is φ = 2449465344.

The previous prime is 9313141391. The next prime is 9313141451. The reversal of 9313141440 is 441413139.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 9313141398 and 9313141407.

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, 3634 + ... + 136526.

Almost surely, 29313141440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9313141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14987253744).

9313141440 is an abundant number, since it is smaller than the sum of its proper divisors (20661366048).

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

9313141440 is a wasteful number, since it uses less digits than its factorization.

9313141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132986 (or 132976 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 9313141440 is about 96504.6187495707. The cubic root of 9313141440 is about 2103.9337784629.

Adding to 9313141440 its reverse (441413139), we get a palindrome (9754554579).

The spelling of 9313141440 in words is "nine billion, three hundred thirteen million, one hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 73 80 96 120 146 160 192 219 240 292 320 365 438 480 584 730 876 960 1095 1168 1460 1752 2190 2336 2920 3504 4380 4672 5840 7008 8760 11680 14016 17520 23360 35040 70080 132893 265786 398679 531572 664465 797358 1063144 1328930 1594716 1993395 2126288 2657860 3189432 3986790 4252576 5315720 6378864 7973580 8505152 9701189 10631440 12757728 15947160 19402378 21262880 25515456 29103567 31894320 38804756 42525760 48505945 58207134 63788640 77609512 97011890 116414268 127577280 145517835 155219024 194023780 232828536 291035670 310438048 388047560 465657072 582071340 620876096 776095120 931314144 1164142680 1552190240 1862628288 2328285360 3104380480 4656570720 9313141440