| Base | Representation |
|---|---|
| bin | 1010101000100101110110… |
| … | …00111110000100000000000 |
| 3 | 10001210120121202202120201000 |
| 4 | 11110102323013300200000 |
| 5 | 11031114324440114410 |
| 6 | 121422521014212000 |
| 7 | 4632335434433160 |
| oct | 524227307604000 |
| 9 | 101716552676630 |
| 10 | 23384941332480 |
| 11 | 74a6552813342 |
| 12 | 27581a9654000 |
| 13 | 1008262704600 |
| 14 | 5abba13c05a0 |
| 15 | 2a8468e70dc0 |
| hex | 1544bb1f0800 |
23384941332480 has 4608 divisors, whose sum is σ = 111882580992000. Its totient is φ = 4521496412160.
The previous prime is 23384941332457. The next prime is 23384941332491. The reversal of 23384941332480 is 8423314948332.
It is a happy number.
23384941332480 is a `hidden beast` number, since 2 + 3 + 38 + 4 + 94 + 13 + 32 + 480 = 666.
It is a tau number, because it is divible by the number of its divisors (4608).
It is a super-2 number, since 2×233849413324802 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
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 383 ways as a sum of consecutive naturals, for example, 329365370845 + ... + 329365370915.
It is an arithmetic number, because the mean of its divisors is an integer number (24280074000).
Almost surely, 223384941332480 is an apocalyptic number.
23384941332480 is a gapful number since it is divisible by the number (20) 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 23384941332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55941290496000).
23384941332480 is an abundant number, since it is smaller than the sum of its proper divisors (88497639659520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23384941332480 is a wasteful number, since it uses less digits than its factorization.
23384941332480 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 212 (or 173 counting only the distinct ones).
The product of its (nonzero) digits is 11943936, while the sum is 54.
The spelling of 23384941332480 in words is "twenty-three trillion, three hundred eighty-four billion, nine hundred forty-one million, three hundred thirty-two thousand, four hundred eighty".
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