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444040113122200 = 23527577935488061
BaseRepresentation
bin110010011110110100010010…
…1001101010110101110011000
32011020012211010221210120101001
41210331220211031112232120
5431200123122424402300
64212221113432434344
7162346560642640360
oct14475504515265630
92136184127716331
10444040113122200
111195373998347a1
1241975b475489b4
131609ca5924c9ba
147b919286799a0
1536507806d516a
hex193da25356b98

444040113122200 has 96 divisors (see below), whose sum is σ = 1179898645448160. Its totient is φ = 152239662489600.

The previous prime is 444040113122149. The next prime is 444040113122201. The reversal of 444040113122200 is 2221311040444.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444040113122201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78166170 + ... + 83654230.

It is an arithmetic number, because the mean of its divisors is an integer number (12290610890085).

Almost surely, 2444040113122200 is an apocalyptic number.

444040113122200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444040113122200 is an abundant number, since it is smaller than the sum of its proper divisors (735858532325960).

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

444040113122200 is a wasteful number, since it uses less digits than its factorization.

444040113122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5545877 (or 5545868 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 444040113122200 its reverse (2221311040444), we get a palindrome (446261424162644).

The spelling of 444040113122200 in words is "four hundred forty-four trillion, forty billion, one hundred thirteen million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 57793 115586 231172 288965 404551 462344 577930 809102 1155860 1444825 1618204 2022755 2311720 2889650 3236408 4045510 5488061 5779300 8091020 10113775 10976122 11558600 16182040 20227550 21952244 27440305 38416427 40455100 43904488 54880610 76832854 80910200 109761220 137201525 153665708 192082135 219522440 274403050 307331416 384164270 548806100 768328540 960410675 1097612200 1536657080 1920821350 3841642700 7683285400 317171509373 634343018746 1268686037492 1585857546865 2220200565611 2537372074984 3171715093730 4440401131222 6343430187460 7929287734325 8880802262444 11101002828055 12686860374920 15858575468650 17761604524888 22202005656110 31717150937300 44404011312220 55505014140275 63434301874600 88808022624440 111010028280550 222020056561100 444040113122200