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4141107420 = 22354111231499
BaseRepresentation
bin1111011011010100…
…0100100011011100
3101200121020001102220
43312311010203130
531440110414140
61522530145340
7204422555322
oct36665044334
911617201386
104141107420
11183560232a
12976a22250
1350cc28b28
142b3da5d12
15193849bd0
hexf6d448dc

4141107420 has 96 divisors (see below), whose sum is σ = 11896416000. Its totient is φ = 1075683840.

The previous prime is 4141107419. The next prime is 4141107449. The reversal of 4141107420 is 247011414.

It is a congruent number.

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, 2761831 + ... + 2763329.

It is an arithmetic number, because the mean of its divisors is an integer number (123921000).

Almost surely, 24141107420 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 4141107420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5948208000).

4141107420 is an abundant number, since it is smaller than the sum of its proper divisors (7755308580).

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

4141107420 is a wasteful number, since it uses less digits than its factorization.

4141107420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2675 (or 2673 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 4141107420 is about 64351.4368137962. The cubic root of 4141107420 is about 1605.8519326878.

Adding to 4141107420 its reverse (247011414), we get a palindrome (4388118834).

The spelling of 4141107420 in words is "four billion, one hundred forty-one million, one hundred seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1123 1230 1499 2246 2460 2998 3369 4492 4497 5615 5996 6738 7495 8994 11230 13476 14990 16845 17988 22460 22485 29980 33690 44970 46043 61459 67380 89940 92086 122918 138129 184172 184377 230215 245836 276258 307295 368754 460430 552516 614590 690645 737508 920860 921885 1229180 1381290 1683377 1843770 2762580 3366754 3687540 5050131 6733508 8416885 10100262 16833770 20200524 25250655 33667540 50501310 69018457 101002620 138036914 207055371 276073828 345092285 414110742 690184570 828221484 1035276855 1380369140 2070553710 4141107420