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14493730500 = 2232534374903
BaseRepresentation
bin11010111111110010…
…01100011011000100
31101102002111210111100
431133321030123010
5214140343334000
610354110540100
71022111451024
oct153771143304
941362453440
1014493730500
116168373277
122985b07630
13149c9aa3c2
149b6cb9a84
1559c65da00
hex35fe4c6c4

14493730500 has 144 divisors (see below), whose sum is σ = 46786836096. Its totient is φ = 3775060800.

The previous prime is 14493730481. The next prime is 14493730513. The reversal of 14493730500 is 503739441.

14493730500 is a `hidden beast` number, since 144 + 9 + 3 + 7 + 3 + 0 + 500 = 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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156049 + ... + 230951.

It is an arithmetic number, because the mean of its divisors is an integer number (324908584).

Almost surely, 214493730500 is an apocalyptic number.

14493730500 is a gapful number since it is divisible by the number (10) 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 14493730500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23393418048).

14493730500 is an abundant number, since it is smaller than the sum of its proper divisors (32293105596).

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

14493730500 is a wasteful number, since it uses less digits than its factorization.

14493730500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74971 (or 74956 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 14493730500 in words is "fourteen billion, four hundred ninety-three million, seven hundred thirty thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 43 45 50 60 75 86 90 100 125 129 150 172 180 215 225 250 258 300 375 387 430 450 500 516 645 750 774 860 900 1075 1125 1290 1500 1548 1935 2150 2250 2580 3225 3870 4300 4500 5375 6450 7740 9675 10750 12900 16125 19350 21500 32250 38700 48375 64500 74903 96750 149806 193500 224709 299612 374515 449418 674127 749030 898836 1123545 1348254 1498060 1872575 2247090 2696508 3220829 3370635 3745150 4494180 5617725 6441658 6741270 7490300 9362875 9662487 11235450 12883316 13482540 16104145 16853175 18725750 19324974 22470900 28088625 28987461 32208290 33706350 37451500 38649948 48312435 56177250 57974922 64416580 67412700 80520725 84265875 96624870 112354500 115949844 144937305 161041450 168531750 193249740 241562175 289874610 322082900 337063500 402603625 483124350 579749220 724686525 805207250 966248700 1207810875 1449373050 1610414500 2415621750 2898746100 3623432625 4831243500 7246865250 14493730500