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4314463860 = 2235779712889
BaseRepresentation
bin1000000010010100…
…10111111001110100
3102010200102110202210
410001022113321310
532314000320420
61552041533420
7211626223560
oct40112277164
912120373683
104314463860
111914447613
12a04aa4270
13539b14ac5
142cd0106a0
151a3b8e9e0
hex101297e74

4314463860 has 96 divisors (see below), whose sum is σ = 13824679680. Its totient is φ = 984849408.

The previous prime is 4314463859. The next prime is 4314463883. The reversal of 4314463860 is 683644134.

It is a happy number.

It is a super-2 number, since 2×43144638602 = 37229196798492199200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328296 + ... + 341184.

It is an arithmetic number, because the mean of its divisors is an integer number (144007080).

Almost surely, 24314463860 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 4314463860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6912339840).

4314463860 is an abundant number, since it is smaller than the sum of its proper divisors (9510215820).

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

4314463860 is a wasteful number, since it uses less digits than its factorization.

4314463860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13705 (or 13703 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The square root of 4314463860 is about 65684.5785553961. The cubic root of 4314463860 is about 1627.9545597815.

The spelling of 4314463860 in words is "four billion, three hundred fourteen million, four hundred sixty-three thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 797 1594 2391 3188 3985 4782 5579 7970 9564 11158 11955 12889 15940 16737 22316 23910 25778 27895 33474 38667 47820 51556 55790 64445 66948 77334 83685 90223 111580 128890 154668 167370 180446 193335 257780 270669 334740 360892 386670 451115 541338 773340 902230 1082676 1353345 1804460 2706690 5413380 10272533 20545066 30817599 41090132 51362665 61635198 71907731 102725330 123270396 143815462 154087995 205450660 215723193 287630924 308175990 359538655 431446386 616351980 719077310 862892772 1078615965 1438154620 2157231930 4314463860