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14098923468 = 22327223573391
BaseRepresentation
bin11010010000101110…
…00111111111001100
31100101120121112001200
431020113013333030
5212333311022333
610251004505500
71006245605100
oct151027077714
940346545050
1014098923468
115a85524973
12289584b290
131438c66686
1497a6a7900
15577b73c13
hex3485c7fcc

14098923468 has 108 divisors (see below), whose sum is σ = 41487368832. Its totient is φ = 4025367360.

The previous prime is 14098923467. The next prime is 14098923491. The reversal of 14098923468 is 86432989041.

14098923468 is a `hidden beast` number, since 1 + 4 + 0 + 98 + 92 + 3 + 468 = 666.

It is a super-2 number, since 2×140989234682 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14098923467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4156053 + ... + 4159443.

It is an arithmetic number, because the mean of its divisors is an integer number (384142304).

Almost surely, 214098923468 is an apocalyptic number.

14098923468 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 14098923468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20743684416).

14098923468 is an abundant number, since it is smaller than the sum of its proper divisors (27388445364).

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

14098923468 is a wasteful number, since it uses less digits than its factorization.

14098923468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5772 (or 5760 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 14098923468 in words is "fourteen billion, ninety-eight million, nine hundred twenty-three thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 2357 3391 4714 6782 7071 9428 10173 13564 14142 16499 20346 21213 23737 28284 30519 32998 40692 42426 47474 49497 61038 65996 71211 84852 94948 98994 115493 122076 142422 148491 166159 197988 213633 230986 284844 296982 332318 346479 427266 461972 498477 593964 664636 692958 854532 996954 1039437 1385916 1495431 1993908 2078874 2990862 4157748 5981724 7992587 15985174 23977761 31970348 47955522 55948109 71933283 95911044 111896218 143866566 167844327 223792436 287733132 335688654 391636763 503532981 671377308 783273526 1007065962 1174910289 1566547052 2014131924 2349820578 3524730867 4699641156 7049461734 14098923468