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14230756008 = 2332727951059
BaseRepresentation
bin11010100000011100…
…00001101010101000
31100201202200022022100
431100032001222220
5213121033143013
610312034253400
71012436300400
oct152016015250
940652608270
1014230756008
116042988687
122911a27260
13145a3742b1
1498ddc3800
15584515473
hex350381aa8

14230756008 has 144 divisors (see below), whose sum is σ = 45402552000. Its totient is φ = 4014384192.

The previous prime is 14230755997. The next prime is 14230756027. The reversal of 14230756008 is 80065703241.

14230756008 is a `hidden beast` number, since 1 + 42 + 3 + 0 + 7 + 5 + 600 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 253183 + ... + 304241.

It is an arithmetic number, because the mean of its divisors is an integer number (315295500).

Almost surely, 214230756008 is an apocalyptic number.

14230756008 is a gapful number since it is divisible by the number (18) 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 14230756008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22701276000).

14230756008 is an abundant number, since it is smaller than the sum of its proper divisors (31171795992).

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

14230756008 is a wasteful number, since it uses less digits than its factorization.

14230756008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51164 (or 51150 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 14230756008 in words is "fourteen billion, two hundred thirty million, seven hundred fifty-six thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 79 84 98 126 147 158 168 196 237 252 294 316 392 441 474 504 553 588 632 711 882 948 1106 1176 1422 1659 1764 1896 2212 2844 3318 3528 3871 4424 4977 5688 6636 7742 9954 11613 13272 15484 19908 23226 30968 34839 39816 46452 51059 69678 92904 102118 139356 153177 204236 278712 306354 357413 408472 459531 612708 714826 919062 1072239 1225416 1429652 1838124 2144478 2501891 2859304 3216717 3676248 4033661 4288956 5003782 6433434 7505673 8067322 8577912 10007564 12100983 12866868 15011346 16134644 20015128 22517019 24201966 25733736 28235627 30022692 32269288 36302949 45034038 48403932 56471254 60045384 72605898 84706881 90068076 96807864 112942508 145211796 169413762 180136152 197649389 225885016 254120643 290423592 338827524 395298778 508241286 592948167 677655048 790597556 1016482572 1185896334 1581195112 1778844501 2032965144 2371792668 3557689002 4743585336 7115378004 14230756008