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14345450532 = 22327293475657
BaseRepresentation
bin11010101110000111…
…00011010000100100
31101000202111101121200
431113003203100210
5213334413404112
610331252442500
71015331213640
oct152703432044
941022441550
1014345450532
1160a16a6346
122944319430
13147806138a
149a131bc20
1558e61dcdc
hex3570e3424

14345450532 has 144 divisors (see below), whose sum is σ = 43002610560. Its totient is φ = 3945263616.

The previous prime is 14345450521. The next prime is 14345450593. The reversal of 14345450532 is 23505454341.

14345450532 is a `hidden beast` number, since 1 + 43 + 45 + 45 + 0 + 532 = 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2533048 + ... + 2538704.

It is an arithmetic number, because the mean of its divisors is an integer number (298629240).

Almost surely, 214345450532 is an apocalyptic number.

14345450532 is a gapful number since it is divisible by the number (12) 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 14345450532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21501305280).

14345450532 is an abundant number, since it is smaller than the sum of its proper divisors (28657160028).

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

14345450532 is a wasteful number, since it uses less digits than its factorization.

14345450532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6050 (or 6045 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 14345450532 in words is "fourteen billion, three hundred forty-five million, four hundred fifty thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 347 348 406 522 609 694 812 1041 1044 1218 1388 1827 2082 2429 2436 3123 3654 4164 4858 5657 6246 7287 7308 9716 10063 11314 12492 14574 16971 20126 21861 22628 29148 30189 33942 39599 40252 43722 50913 60378 67884 70441 79198 87444 90567 101826 118797 120756 140882 158396 164053 181134 203652 211323 237594 281764 328106 356391 362268 422646 475188 492159 633969 656212 712782 845292 984318 1148371 1267938 1425564 1476477 1962979 1968636 2296742 2535876 2952954 3445113 3925958 4593484 5888937 5905908 6890226 7851916 10335339 11777874 13740853 13780452 17666811 20670678 23555748 27481706 35333622 41222559 41341356 54963412 56926391 70667244 82445118 113852782 123667677 164890236 170779173 227705564 247335354 341558346 398484737 494670708 512337519 683116692 796969474 1024675038 1195454211 1593938948 2049350076 2390908422 3586362633 4781816844 7172725266 14345450532