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14545531020 = 22353715143391
BaseRepresentation
bin11011000101111101…
…10011000010001100
31101112200222112110010
431202332303002030
5214242123443040
610403201113220
71023310654656
oct154276630214
941480875403
1014545531020
116194633819
12299b328810
1314aa6461b7
149bdb216d6
155a1e91e80
hex362fb308c

14545531020 has 96 divisors (see below), whose sum is σ = 42106208256. Its totient is φ = 3748896000.

The previous prime is 14545530971. The next prime is 14545531031. The reversal of 14545531020 is 2013554541.

14545531020 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 (30).

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, 313525 + ... + 356915.

It is an arithmetic number, because the mean of its divisors is an integer number (438606336).

Almost surely, 214545531020 is an apocalyptic number.

14545531020 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 14545531020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21053104128).

14545531020 is an abundant number, since it is smaller than the sum of its proper divisors (27560677236).

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

14545531020 is a wasteful number, since it uses less digits than its factorization.

14545531020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43591 (or 43589 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 14545531020 in words is "fourteen billion, five hundred forty-five million, five hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 151 185 222 302 370 444 453 555 604 740 755 906 1110 1510 1812 2220 2265 3020 4530 5587 9060 11174 16761 22348 27935 33522 43391 55870 67044 83805 86782 111740 130173 167610 173564 216955 260346 335220 433910 520692 650865 867820 1301730 1605467 2603460 3210934 4816401 6421868 6552041 8027335 9632802 13104082 16054670 19265604 19656123 24082005 26208164 32109340 32760205 39312246 48164010 65520410 78624492 96328020 98280615 131040820 196561230 242425517 393122460 484851034 727276551 969702068 1212127585 1454553102 2424255170 2909106204 3636382755 4848510340 7272765510 14545531020