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1240008714 = 2327101139701
BaseRepresentation
bin100100111101001…
…0000100000001010
310012102021222011200
41021322100200022
510014420234324
6323013405030
742504620520
oct11172204012
93172258150
101240008714
11586a5299a
122a7339776
13169b91c89
14ba986310
1573cdeec9
hex49e9080a

1240008714 has 96 divisors (see below), whose sum is σ = 3127662720. Its totient is φ = 347760000.

The previous prime is 1240008703. The next prime is 1240008751. The reversal of 1240008714 is 4178000421.

It is a super-2 number, since 2×12400087142 = 3075243221591867592, which contains 22 as substring.

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1768564 + ... + 1769264.

It is an arithmetic number, because the mean of its divisors is an integer number (32579820).

Almost surely, 21240008714 is an apocalyptic number.

1240008714 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1240008714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563831360).

1240008714 is an abundant number, since it is smaller than the sum of its proper divisors (1887654006).

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

1240008714 is a wasteful number, since it uses less digits than its factorization.

1240008714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 1240008714 is about 35213.7574535862. The cubic root of 1240008714 is about 1074.3395875888.

The spelling of 1240008714 in words is "one billion, two hundred forty million, eight thousand, seven hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 101 126 139 202 278 303 417 606 701 707 834 909 973 1251 1402 1414 1818 1946 2103 2121 2502 2919 4206 4242 4907 5838 6309 6363 8757 9814 12618 12726 14039 14721 17514 28078 29442 42117 44163 70801 84234 88326 97439 98273 126351 141602 194878 196546 212403 252702 292317 294819 424806 495607 584634 589638 637209 682073 876951 884457 991214 1274418 1364146 1486821 1753902 1768914 2046219 2973642 4092438 4460463 6138657 8920926 9841339 12277314 19682678 29524017 59048034 68889373 88572051 137778746 177144102 206668119 413336238 620004357 1240008714