Base | Representation |
---|---|
bin | 10001110011010111100… |
… | …100111110000000000000 |
3 | 11022221202222102110000000 |
4 | 101303113210332000000 |
5 | 130020444200122030 |
6 | 2334003320000000 |
7 | 154246453132530 |
oct | 21632744760000 |
9 | 4287688373000 |
10 | 1223387504640 |
11 | 431921397524 |
12 | 179126000000 |
13 | 8b498a31b52 |
14 | 432d86874c0 |
15 | 21c53041860 |
hex | 11cd793e000 |
1223387504640 has 896 divisors, whose sum is σ = 5034870743040. Its totient is φ = 279488102400.
The previous prime is 1223387504561. The next prime is 1223387504641. The reversal of 1223387504640 is 464057833221.
1223387504640 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 3 + 87 + 504 + 64 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (896).
It is a super-3 number, since 3×12233875046403 (a number of 37 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1223387504641) by changing a digit.
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 63 ways as a sum of consecutive naturals, for example, 627055665 + ... + 627057615.
Almost surely, 21223387504640 is an apocalyptic number.
1223387504640 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 1223387504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2517435371520).
1223387504640 is an abundant number, since it is smaller than the sum of its proper divisors (3811483238400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1223387504640 is an frugal number, since it uses more digits than its factorization.
1223387504640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2010 (or 1968 counting only the distinct ones).
The product of its (nonzero) digits is 967680, while the sum is 45.
The spelling of 1223387504640 in words is "one trillion, two hundred twenty-three billion, three hundred eighty-seven million, five hundred four thousand, six hundred forty".
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