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4141065660 = 2235472276469
BaseRepresentation
bin1111011011010011…
…1010010110111100
3101200121010221011020
43312310322112330
531440103100120
61522525224140
7204422322504
oct36664722674
911617127136
104141065660
111835583a16
12976a02050
1350cc12b14
142b3d94a04
1519383c640
hexf6d3a5bc

4141065660 has 96 divisors (see below), whose sum is σ = 11895690240. Its totient is φ = 1075861248.

The previous prime is 4141065629. The next prime is 4141065661. The reversal of 4141065660 is 665601414.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4141065661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 636906 + ... + 643374.

It is an arithmetic number, because the mean of its divisors is an integer number (123913440).

Almost surely, 24141065660 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 4141065660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5947845120).

4141065660 is an abundant number, since it is smaller than the sum of its proper divisors (7754624580).

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

4141065660 is a wasteful number, since it uses less digits than its factorization.

4141065660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6755 (or 6753 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 4141065660 is about 64351.1123446984. The cubic root of 4141065660 is about 1605.8465347273.

The spelling of 4141065660 in words is "four billion, one hundred forty-one million, sixty-five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 227 235 282 454 470 564 681 705 908 940 1135 1362 1410 2270 2724 2820 3405 4540 6469 6810 10669 12938 13620 19407 21338 25876 32007 32345 38814 42676 53345 64014 64690 77628 97035 106690 128028 129380 160035 194070 213380 304043 320070 388140 608086 640140 912129 1216172 1468463 1520215 1824258 2936926 3040430 3648516 4405389 4560645 5873852 6080860 7342315 8810778 9121290 14684630 17621556 18242580 22026945 29369260 44053890 69017761 88107780 138035522 207053283 276071044 345088805 414106566 690177610 828213132 1035266415 1380355220 2070532830 4141065660