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4141010020 = 2257157293643
BaseRepresentation
bin1111011011010010…
…1100110001100100
3101200121001002211111
43312310230301210
531440044310040
61522524114404
7204422001340
oct36664546144
911617032744
104141010020
111835546134
12976995a04
1350cbc36b4
142b3d7c620
1519382adea
hexf6d2cc64

4141010020 has 96 divisors (see below), whose sum is σ = 10051469568. Its totient is φ = 1403730432.

The previous prime is 4141010009. The next prime is 4141010033. The reversal of 4141010020 is 200101414.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6439819 + ... + 6440461.

It is an arithmetic number, because the mean of its divisors is an integer number (104702808).

Almost surely, 24141010020 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 4141010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5025734784).

4141010020 is an abundant number, since it is smaller than the sum of its proper divisors (5910459548).

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

4141010020 is a wasteful number, since it uses less digits than its factorization.

4141010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 4141010020 is about 64350.6800274869. The cubic root of 4141010020 is about 1605.8393425608.

Adding to 4141010020 its reverse (200101414), we get a palindrome (4341111434).

The spelling of 4141010020 in words is "four billion, one hundred forty-one million, ten thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 157 293 314 586 628 643 785 1099 1172 1286 1465 1570 2051 2198 2572 2930 3140 3215 4102 4396 4501 5495 5860 6430 8204 9002 10255 10990 12860 18004 20510 21980 22505 41020 45010 46001 90020 92002 100951 184004 188399 201902 230005 322007 376798 403804 460010 504755 644014 706657 753596 920020 941995 1009510 1288028 1318793 1413314 1610035 1883990 2019020 2637586 2826628 3220070 3533285 3767980 5275172 6440140 6593965 7066570 13187930 14133140 26375860 29578643 59157286 118314572 147893215 207050501 295786430 414101002 591572860 828202004 1035252505 2070505010 4141010020