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4141211120 = 245192724481
BaseRepresentation
bin1111011011010101…
…1101110111110000
3101200121102022200122
43312311131313300
531440122223440
61522532305412
7204423466544
oct36665356760
911617368618
104141211120
111835673232
12976a72268
1350cc640a7
142b3dd1a24
1519386a7b5
hexf6d5ddf0

4141211120 has 40 divisors (see below), whose sum is σ = 10135073040. Its totient is φ = 1569300480.

The previous prime is 4141211117. The next prime is 4141211131. The reversal of 4141211120 is 211121414.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1360721 + ... + 1363760.

It is an arithmetic number, because the mean of its divisors is an integer number (253376826).

Almost surely, 24141211120 is an apocalyptic number.

4141211120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4141211120 is an abundant number, since it is smaller than the sum of its proper divisors (5993861920).

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

4141211120 is a wasteful number, since it uses less digits than its factorization.

4141211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724513 (or 2724507 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 4141211120 is about 64352.2425405673. The cubic root of 4141211120 is about 1605.8653369489.

Adding to 4141211120 its reverse (211121414), we get a palindrome (4352332534).

The spelling of 4141211120 in words is "four billion, one hundred forty-one million, two 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 2724481 5448962 10897924 13622405 21795848 27244810 43591696 51765139 54489620 103530278 108979240 207060556 217958480 258825695 414121112 517651390 828242224 1035302780 2070605560 4141211120