| Base | Representation |
|---|---|
| bin | 1110111101000100001010… |
| … | …0110001111111011001000 |
| 3 | 2011012212022211011212120200 |
| 4 | 3233101002212033323020 |
| 5 | 4123342213021211130 |
| 6 | 54545244422052200 |
| 7 | 3314625223064100 |
| oct | 357210246177310 |
| 9 | 64185284155520 |
| 10 | 16442252132040 |
| 11 | 526a135752a59 |
| 12 | 1a16750b7a060 |
| 13 | 9236616611c7 |
| 14 | 40bb4881a200 |
| 15 | 1d7a79d74760 |
| hex | ef44298fec8 |
16442252132040 has 1152 divisors, whose sum is σ = 68781184992000. Its totient is φ = 3380550598656.
The previous prime is 16442252132039. The next prime is 16442252132069. The reversal of 16442252132040 is 4023125224461.
16442252132040 is a `hidden beast` number, since 1 + 6 + 4 + 42 + 252 + 1 + 320 + 40 = 666.
It is a super-3 number, since 3×164422521320403 (a number of 41 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 = 16442252131986 and 16442252132004.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1056081376 + ... + 1056096944.
It is an arithmetic number, because the mean of its divisors is an integer number (59705889750).
Almost surely, 216442252132040 is an apocalyptic number.
16442252132040 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 16442252132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34390592496000).
16442252132040 is an abundant number, since it is smaller than the sum of its proper divisors (52338932859960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
16442252132040 is a wasteful number, since it uses less digits than its factorization.
16442252132040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15779 (or 15765 counting only the distinct ones).
The product of its (nonzero) digits is 92160, while the sum is 36.
The spelling of 16442252132040 in words is "sixteen trillion, four hundred forty-two billion, two hundred fifty-two million, one hundred thirty-two thousand, forty".
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