Base | Representation |
---|---|
bin | 11010111011001110… |
… | …11011110110000000 |
3 | 1101022102121112102100 |
4 | 31131213123312000 |
5 | 214101103130030 |
6 | 10350223550400 |
7 | 1021135620021 |
oct | 153547336600 |
9 | 41272545370 |
10 | 14455520640 |
11 | 6148845680 |
12 | 297515b400 |
13 | 1494abc612 |
14 | 9b1bb0c48 |
15 | 599112360 |
hex | 35d9dbd80 |
14455520640 has 384 divisors, whose sum is σ = 54696863520. Its totient is φ = 3488808960.
The previous prime is 14455520609. The next prime is 14455520659. The reversal of 14455520640 is 4602555441.
14455520640 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 5 + 5 + 2 + 0 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (384).
It is a super-3 number, since 3×144555206403 (a number of 31 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 14455520595 and 14455520604.
It is a congruent number.
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, 21351982 + ... + 21352658.
Almost surely, 214455520640 is an apocalyptic number.
14455520640 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 14455520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27348431760).
14455520640 is an abundant number, since it is smaller than the sum of its proper divisors (40241342880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
14455520640 is a wasteful number, since it uses less digits than its factorization.
14455520640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1050 (or 1035 counting only the distinct ones).
The product of its (nonzero) digits is 96000, while the sum is 36.
It can be divided in two parts, 14455 and 520640, that added together give a triangular number (535095 = T1034).
The spelling of 14455520640 in words is "fourteen billion, four hundred fifty-five million, five hundred twenty thousand, six hundred forty".
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