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4241106940 = 225715721229
BaseRepresentation
bin1111110011001010…
…0010011111111100
3101221120101112222211
43330302202133330
532141210410230
61540501350204
7210045546160
oct37462423774
911846345884
104241106940
111886aa3464
129a4408364
1352786c345
142c3396ca0
1519c4ee42a
hexfcca27fc

4241106940 has 72 divisors (see below), whose sum is σ = 10252236960. Its totient is φ = 1443656448.

The previous prime is 4241106929. The next prime is 4241106949. The reversal of 4241106940 is 496011424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4241106949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3450246 + ... + 3451474.

It is an arithmetic number, because the mean of its divisors is an integer number (142392180).

Almost surely, 24241106940 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 4241106940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5126118480).

4241106940 is an abundant number, since it is smaller than the sum of its proper divisors (6011130020).

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

4241106940 is a wasteful number, since it uses less digits than its factorization.

4241106940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 4241106940 is about 65123.7816776637. The cubic root of 4241106940 is about 1618.6753053293.

The spelling of 4241106940 in words is "four billion, two hundred forty-one million, one hundred six thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 157 314 628 785 1099 1229 1570 2198 2458 3140 4396 4916 5495 6145 8603 10990 12290 17206 21980 24580 24649 34412 43015 49298 86030 98596 123245 172060 172543 192953 246490 345086 385906 492980 690172 771812 862715 964765 1350671 1725430 1929530 2701342 3450860 3859060 5402684 6753355 13506710 27013420 30293621 60587242 121174484 151468105 212055347 302936210 424110694 605872420 848221388 1060276735 2120553470 4241106940