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41221141220 = 2257242062389
BaseRepresentation
bin100110011000111110…
…001011001011100100
310221101202211221100002
4212120332023023210
51133410103004340
630534200040432
72656332630200
oct463076131344
9127352757302
1041221141220
1116533294566
127ba4a63118
133b6c06972c
141dd0841b00
151113ceb715
hex998f8b2e4

41221141220 has 36 divisors (see below), whose sum is σ = 100697361660. Its totient is φ = 14132962368.

The previous prime is 41221141183. The next prime is 41221141229. The reversal of 41221141220 is 2214112214.

41221141220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6878380096 + 34342761124 = 82936^2 + 185318^2 .

It is a super-3 number, since 3×412211412203 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 41221141192 and 41221141201.

It is not an unprimeable number, because it can be changed into a prime (41221141229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21030215 + ... + 21032174.

It is an arithmetic number, because the mean of its divisors is an integer number (2797148935).

Almost surely, 241221141220 is an apocalyptic number.

It is an amenable number.

41221141220 is an abundant number, since it is smaller than the sum of its proper divisors (59476220440).

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

41221141220 is a wasteful number, since it uses less digits than its factorization.

41221141220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42062412 (or 42062403 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 41221141220 its reverse (2214112214), we get a palindrome (43435253434).

The spelling of 41221141220 in words is "forty-one billion, two hundred twenty-one million, one hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 42062389 84124778 168249556 210311945 294436723 420623890 588873446 841247780 1177746892 1472183615 2061057061 2944367230 4122114122 5888734460 8244228244 10305285305 20610570610 41221141220