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441212102320 = 245111792800991
BaseRepresentation
bin1100110101110100100…
…10100110011010110000
31120011211211102002021211
412122322102212122300
524212100244233240
6534405014325504
743606434663553
oct6327222463260
91504754362254
10441212102320
111601318028a0
1271615059894
13327b58617c2
14174d773069a
15b724a0bbea
hex66ba4a66b0

441212102320 has 80 divisors (see below), whose sum is σ = 1125326545920. Its totient is φ = 159544390400.

The previous prime is 441212102299. The next prime is 441212102321. The reversal of 441212102320 is 23201212144.

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

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 441212102291 and 441212102300.

It is not an unprimeable number, because it can be changed into a prime (441212102321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1242976 + ... + 1558015.

It is an arithmetic number, because the mean of its divisors is an integer number (14066581824).

Almost surely, 2441212102320 is an apocalyptic number.

441212102320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441212102320 is an abundant number, since it is smaller than the sum of its proper divisors (684114443600).

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

441212102320 is a wasteful number, since it uses less digits than its factorization.

441212102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2801194 (or 2801188 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 441212102320 its reverse (23201212144), we get a palindrome (464413314464).

The spelling of 441212102320 in words is "four hundred forty-one billion, two hundred twelve million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 179 220 358 440 716 880 895 1432 1790 1969 2864 3580 3938 7160 7876 9845 14320 15752 19690 31504 39380 78760 157520 2800991 5601982 11203964 14004955 22407928 28009910 30810901 44815856 56019820 61621802 112039640 123243604 154054505 224079280 246487208 308109010 492974416 501377389 616218020 1002754778 1232436040 2005509556 2464872080 2506886945 4011019112 5013773890 5515151279 8022038224 10027547780 11030302558 20055095560 22060605116 27575756395 40110191120 44121210232 55151512790 88242420464 110303025580 220606051160 441212102320