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4441411120 = 245192921981
BaseRepresentation
bin1000010001011101…
…01000111000110000
3102110112022001200011
410020232220320300
533044000123440
62012414504304
7215030241316
oct41056507060
912415261604
104441411120
11197a073a03
12a3b505094
1355a201c23
14301c180b6
151aedb89ea
hex108ba8e30

4441411120 has 40 divisors (see below), whose sum is σ = 10869773040. Its totient is φ = 1683060480.

The previous prime is 4441411061. The next prime is 4441411127. The reversal of 4441411120 is 211141444.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×44414111202 = 39452265473719308800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4441411091 and 4441411100.

It is not an unprimeable number, because it can be changed into a prime (4441411127) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1459471 + ... + 1462510.

It is an arithmetic number, because the mean of its divisors is an integer number (271744326).

Almost surely, 24441411120 is an apocalyptic number.

4441411120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4441411120 is an abundant number, since it is smaller than the sum of its proper divisors (6428361920).

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

4441411120 is a wasteful number, since it uses less digits than its factorization.

4441411120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2922013 (or 2922007 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 4441411120 is about 66643.9128503121. The cubic root of 4441411120 is about 1643.7672566921.

Adding to 4441411120 its reverse (211141444), we get a palindrome (4652552564).

The spelling of 4441411120 in words is "four billion, four hundred forty-one million, four hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 2921981 5843962 11687924 14609905 23375848 29219810 46751696 55517639 58439620 111035278 116879240 222070556 233758480 277588195 444141112 555176390 888282224 1110352780 2220705560 4441411120