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4130495304 = 23313173125121
BaseRepresentation
bin1111011000110010…
…0101101101001000
3101122212020220100120
43312030211231020
531424401322204
61521510503240
7204233426235
oct36614455510
911585226316
104130495304
11182a614291
12973364b20
1350a981780
142b280278c
151929506d9
hexf6325b48

4130495304 has 128 divisors (see below), whose sum is σ = 12155028480. Its totient is φ = 1157529600.

The previous prime is 4130495279. The next prime is 4130495309. The reversal of 4130495304 is 4035940314.

4130495304 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4130495309) 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, 151864 + ... + 176984.

It is an arithmetic number, because the mean of its divisors is an integer number (94961160).

Almost surely, 24130495304 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 4130495304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6077514240).

4130495304 is an abundant number, since it is smaller than the sum of its proper divisors (8024533176).

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

4130495304 is a wasteful number, since it uses less digits than its factorization.

4130495304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25191 (or 25187 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 4130495304 is about 64268.9295383080. The cubic root of 4130495304 is about 1604.4790257965.

The spelling of 4130495304 in words is "four billion, one hundred thirty million, four hundred ninety-five thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 31 34 39 51 52 62 68 78 93 102 104 124 136 156 186 204 221 248 312 372 403 408 442 527 663 744 806 884 1054 1209 1326 1581 1612 1768 2108 2418 2652 3162 3224 4216 4836 5304 6324 6851 9672 12648 13702 20553 25121 27404 41106 50242 54808 75363 82212 100484 150726 164424 200968 301452 326573 427057 602904 653146 778751 854114 979719 1281171 1306292 1557502 1708228 1959438 2336253 2562342 2612584 3115004 3416456 3918876 4672506 5124684 5551741 6230008 7837752 9345012 10123763 10249368 11103482 13238767 16655223 18690024 20247526 22206964 26477534 30371289 33310446 39716301 40495052 44413928 52955068 60742578 66620892 79432602 80990104 105910136 121485156 133241784 158865204 172103971 242970312 317730408 344207942 516311913 688415884 1032623826 1376831768 2065247652 4130495304