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14014600500 = 2235323340099
BaseRepresentation
bin11010000110101010…
…11101010100110100
31100011200221110200210
431003111131110310
5212200214204000
610234353305420
71004203065405
oct150325352464
940150843623
1014014600500
115a4197086a
122871565270
131424651724
1496d3d79ac
15570569350
hex34355d534

14014600500 has 96 divisors (see below), whose sum is σ = 40986691200. Its totient is φ = 3721094400.

The previous prime is 14014600499. The next prime is 14014600513. The reversal of 14014600500 is 500641041.

14014600500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329451 + ... + 369549.

It is an arithmetic number, because the mean of its divisors is an integer number (426944700).

Almost surely, 214014600500 is an apocalyptic number.

14014600500 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 14014600500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20493345600).

14014600500 is an abundant number, since it is smaller than the sum of its proper divisors (26972090700).

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

14014600500 is a wasteful number, since it uses less digits than its factorization.

14014600500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40354 (or 40342 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The spelling of 14014600500 in words is "fourteen billion, fourteen million, six hundred thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 233 250 300 375 466 500 699 750 932 1165 1398 1500 2330 2796 3495 4660 5825 6990 11650 13980 17475 23300 29125 34950 40099 58250 69900 80198 87375 116500 120297 160396 174750 200495 240594 349500 400990 481188 601485 801980 1002475 1202970 2004950 2405940 3007425 4009900 5012375 6014850 9343067 10024750 12029700 15037125 18686134 20049500 28029201 30074250 37372268 46715335 56058402 60148500 93430670 112116804 140146005 186861340 233576675 280292010 467153350 560584020 700730025 934306700 1167883375 1401460050 2335766750 2802920100 3503650125 4671533500 7007300250 14014600500