Base | Representation |
---|---|
bin | 10011111000000100… |
… | …001000111001000000 |
3 | 2001002100011212210000 |
4 | 103320010020321000 |
5 | 322201434004434 |
6 | 13445414440000 |
7 | 1353603326424 |
oct | 237004107100 |
9 | 61070155700 |
10 | 21341703744 |
11 | 9061920999 |
12 | 4177363000 |
13 | 2021654a8a |
14 | 1066580b84 |
15 | 84d947b99 |
hex | 4f8108e40 |
21341703744 has 105 divisors (see below), whose sum is σ = 63294690657. Its totient is φ = 7110395136.
The previous prime is 21341703737. The next prime is 21341703769. The reversal of 21341703744 is 44730714312.
The square root of 21341703744 is 146088.
It is a perfect power (a square), and thus also a powerful number.
21341703744 is a `hidden beast` number, since 213 + 4 + 1 + 70 + 374 + 4 = 666.
It can be written as a sum of positive squares in only one way, i.e., 21173742144 + 167961600 = 145512^2 + 12960^2 .
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 = 21341703699 and 21341703708.
It is an unprimeable number.
It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 10517322 + ... + 10519350.
Almost surely, 221341703744 is an apocalyptic number.
21341703744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.
21341703744 is the 146088-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 21341703744
21341703744 is an abundant number, since it is smaller than the sum of its proper divisors (41952986913).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21341703744 is an frugal number, since it uses more digits than its factorization.
21341703744 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4082 (or 2034 counting only the distinct ones).
The product of its (nonzero) digits is 56448, while the sum is 36.
Multiplying 21341703744 by its sum of digits (36), we get a square (768301334784 = 8765282).
21341703744 divided by its sum of digits (36) gives a square (592825104 = 243482).
The spelling of 21341703744 in words is "twenty-one billion, three hundred forty-one million, seven hundred three thousand, seven hundred forty-four".
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