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4141210020 = 2235317928183
BaseRepresentation
bin1111011011010101…
…1101100110100100
3101200121102021011220
43312311131212210
531440122210040
61522532300340
7204423463413
oct36665354644
911617367156
104141210020
111835672422
12976a716b0
1350cc6373c
142b3dd147a
1519386a2d0
hexf6d5d9a4

4141210020 has 96 divisors (see below), whose sum is σ = 12121374720. Its totient is φ = 1055134080.

The previous prime is 4141210019. The next prime is 4141210027. The reversal of 4141210020 is 200121414.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (4141210027) 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 31 ways as a sum of consecutive naturals, for example, 132849 + ... + 161031.

It is an arithmetic number, because the mean of its divisors is an integer number (126264320).

Almost surely, 24141210020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4141210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6060687360).

4141210020 is an abundant number, since it is smaller than the sum of its proper divisors (7980164700).

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

4141210020 is a wasteful number, since it uses less digits than its factorization.

4141210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28305 (or 28303 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 4141210020 is about 64352.2339938560. The cubic root of 4141210020 is about 1605.8651947641.

Adding to 4141210020 its reverse (200121414), we get a palindrome (4341331434).

The spelling of 4141210020 in words is "four billion, one hundred forty-one million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 79 93 124 155 158 186 237 310 316 372 395 465 474 620 790 930 948 1185 1580 1860 2370 2449 4740 4898 7347 9796 12245 14694 24490 28183 29388 36735 48980 56366 73470 84549 112732 140915 146940 169098 281830 338196 422745 563660 845490 873673 1690980 1747346 2226457 2621019 3494692 4368365 4452914 5242038 6679371 8736730 8905828 10484076 11132285 13105095 13358742 17473460 22264570 26210190 26717484 33396855 44529140 52420380 66793710 69020167 133587420 138040334 207060501 276080668 345100835 414121002 690201670 828242004 1035302505 1380403340 2070605010 4141210020