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14013241000 = 2353111967049
BaseRepresentation
bin11010000110100000…
…10001011010101000
31100011121101101210221
431003100101122220
5212144342203000
610234304215424
71004155404013
oct150320213250
940147341727
1014013241000
115a41122410
12287100a574
1314242969a5
1496d16237a
1557039b61a
hex3434116a8

14013241000 has 128 divisors (see below), whose sum is σ = 37655280000. Its totient is φ = 4827456000.

The previous prime is 14013240971. The next prime is 14013241031. The reversal of 14013241000 is 14231041.

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 31 ways as a sum of consecutive naturals, for example, 175476 + ... + 242524.

It is an arithmetic number, because the mean of its divisors is an integer number (294181875).

Almost surely, 214013241000 is an apocalyptic number.

14013241000 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 14013241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18827640000).

14013241000 is an abundant number, since it is smaller than the sum of its proper divisors (23642039000).

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

14013241000 is a wasteful number, since it uses less digits than its factorization.

14013241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67100 (or 67086 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 14013241000 its reverse (14231041), we get a palindrome (14027472041).

The spelling of 14013241000 in words is "fourteen billion, thirteen million, two hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 11 19 20 22 25 38 40 44 50 55 76 88 95 100 110 125 152 190 200 209 220 250 275 380 418 440 475 500 550 760 836 950 1000 1045 1100 1375 1672 1900 2090 2200 2375 2750 3800 4180 4750 5225 5500 8360 9500 10450 11000 19000 20900 26125 41800 52250 67049 104500 134098 209000 268196 335245 536392 670490 737539 1273931 1340980 1475078 1676225 2547862 2681960 2950156 3352450 3687695 5095724 5900312 6369655 6704900 7375390 8381125 10191448 12739310 13409800 14013241 14750780 16762250 18438475 25478620 28026482 29501560 31848275 33524500 36876950 50957240 56052964 63696550 67049000 70066205 73753900 92192375 112105928 127393100 140132410 147507800 159241375 184384750 254786200 280264820 318482750 350331025 368769500 560529640 636965500 700662050 737539000 1273931000 1401324100 1751655125 2802648200 3503310250 7006620500 14013241000