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4444310323400 = 2352971408316267
BaseRepresentation
bin100000010101100010110…
…0010011100000011001000
3120201212112121221201112212
41000223011202130003020
51040303421420322100
613241404334124252
7636043103305343
oct100530542340310
916655477851485
104444310323400
111463904350852
125b9406650688
132631344b163c
1411516a32345a
157a9179ad635
hex40ac589c0c8

4444310323400 has 96 divisors (see below), whose sum is σ = 10440930591840. Its totient is φ = 1759163996160.

The previous prime is 4444310323319. The next prime is 4444310323417. The reversal of 4444310323400 is 43230134444.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 273202067 + ... + 273218333.

It is an arithmetic number, because the mean of its divisors is an integer number (108759693665).

Almost surely, 24444310323400 is an apocalyptic number.

4444310323400 is a gapful number since it is divisible by the number (40) 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 4444310323400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5220465295920).

4444310323400 is an abundant number, since it is smaller than the sum of its proper divisors (5996620268440).

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

4444310323400 is a wasteful number, since it uses less digits than its factorization.

4444310323400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30463 (or 30454 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 4444310323400 its reverse (43230134444), we get a palindrome (4487540457844).

The spelling of 4444310323400 in words is "four trillion, four hundred forty-four billion, three hundred ten million, three hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 97 100 194 200 388 485 776 970 1940 2425 3880 4850 9700 14083 16267 19400 28166 32534 56332 65068 70415 81335 112664 130136 140830 162670 281660 325340 352075 406675 563320 650680 704150 813350 1366051 1408300 1577899 1626700 2732102 2816600 3155798 3253400 5464204 6311596 6830255 7889495 10928408 12623192 13660510 15778990 27321020 31557980 34151275 39447475 54642040 63115960 68302550 78894950 136605100 157789900 229088161 273210200 315579800 458176322 916352644 1145440805 1832705288 2290881610 4581763220 5727204025 9163526440 11454408050 22221551617 22908816100 44443103234 45817632200 88886206468 111107758085 177772412936 222215516170 444431032340 555538790425 888862064680 1111077580850 2222155161700 4444310323400