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14053500020 = 2257237161471
BaseRepresentation
bin11010001011010011…
…10110010001110100
31100021102010202210202
431011221312101310
5212240144000040
610242303140032
71005154531160
oct150551662164
940242122722
1014053500020
115a6191a62a
1228825a4618
13142c7213b1
14974641ca0
15573ba0015
hex345a76474

14053500020 has 96 divisors (see below), whose sum is σ = 35691134976. Its totient is φ = 4543862400.

The previous prime is 14053500001. The next prime is 14053500031. The reversal of 14053500020 is 2000535041.

14053500020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 14053499965 and 14053500001.

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, 197885 + ... + 259355.

It is an arithmetic number, because the mean of its divisors is an integer number (371782656).

Almost surely, 214053500020 is an apocalyptic number.

14053500020 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 14053500020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17845567488).

14053500020 is an abundant number, since it is smaller than the sum of its proper divisors (21637634956).

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

14053500020 is a wasteful number, since it uses less digits than its factorization.

14053500020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61581 (or 61579 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The spelling of 14053500020 in words is "fourteen billion, fifty-three million, five hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 71 92 115 140 142 161 230 284 322 355 460 497 644 710 805 994 1420 1610 1633 1988 2485 3220 3266 4970 6532 8165 9940 11431 16330 22862 32660 45724 57155 61471 114310 122942 228620 245884 307355 430297 614710 860594 1229420 1413833 1721188 2151485 2827666 4302970 4364441 5655332 7069165 8605940 8728882 9896831 14138330 17457764 19793662 21822205 28276660 30551087 39587324 43644410 49484155 61102174 87288820 98968310 100382143 122204348 152755435 197936620 200764286 305510870 401528572 501910715 611021740 702675001 1003821430 1405350002 2007642860 2810700004 3513375005 7026750010 14053500020