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4263313120 = 2551123105319
BaseRepresentation
bin1111111000011100…
…1111111011100000
3102000010011202010221
43332013033323200
532212402004440
61543013332424
7210435364213
oct37607177340
912003152127
104263313120
111898590280
129ab937114
1352c3459b1
142c62d777a
1519e438d4a
hexfe1cfee0

4263313120 has 96 divisors (see below), whose sum is σ = 11465556480. Its totient is φ = 1482877440.

The previous prime is 4263313111. The next prime is 4263313139. The reversal of 4263313120 is 213133624.

It is a super-4 number, since 4×42633131204 (a number of 40 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12180 + ... + 93139.

It is an arithmetic number, because the mean of its divisors is an integer number (119432880).

Almost surely, 24263313120 is an apocalyptic number.

4263313120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4263313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5732778240).

4263313120 is an abundant number, since it is smaller than the sum of its proper divisors (7202243360).

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

4263313120 is a wasteful number, since it uses less digits than its factorization.

4263313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105368 (or 105360 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 4263313120 is about 65294.0511838559. The cubic root of 4263313120 is about 1621.4954843513.

Adding to 4263313120 its reverse (213133624), we get a palindrome (4476446744).

The spelling of 4263313120 in words is "four billion, two hundred sixty-three million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 80 88 92 110 115 160 176 184 220 230 253 352 368 440 460 506 736 880 920 1012 1265 1760 1840 2024 2530 3680 4048 5060 8096 10120 20240 40480 105319 210638 421276 526595 842552 1053190 1158509 1685104 2106380 2317018 2422337 3370208 4212760 4634036 4844674 5792545 8425520 9268072 9689348 11585090 12111685 16851040 18536144 19378696 23170180 24223370 26645707 37072288 38757392 46340360 48446740 53291414 77514784 92680720 96893480 106582828 133228535 185361440 193786960 213165656 266457070 387573920 426331312 532914140 852662624 1065828280 2131656560 4263313120