| Base | Representation |
|---|---|
| bin | 101111001111001100… |
| … | …0011001010010010000 |
| 3 | 100200211121222020021000 |
| 4 | 1132132120121102100 |
| 5 | 3130223002133320 |
| 6 | 114333534102000 |
| 7 | 10220546016054 |
| oct | 1363630312220 |
| 9 | 320747866230 |
| 10 | 101441442960 |
| 11 | 3a026060580 |
| 12 | 177b064a900 |
| 13 | 974833b780 |
| 14 | 4ca467dc64 |
| 15 | 298aa68c90 |
| hex | 179e619490 |
101441442960 has 1280 divisors, whose sum is σ = 435572121600. Its totient is φ = 21349785600.
The previous prime is 101441442953. The next prime is 101441442967. The reversal of 101441442960 is 69244144101.
It is a happy number.
101441442960 is a `hidden beast` number, since 10 + 144 + 1 + 442 + 9 + 60 = 666.
It is an interprime number because it is at equal distance from previous prime (101441442953) and next prime (101441442967).
It is a super-3 number, since 3×1014414429603 (a number of 34 digits) contains 333 as substring.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (101441442967) 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 255 ways as a sum of consecutive naturals, for example, 774362095 + ... + 774362225.
It is an arithmetic number, because the mean of its divisors is an integer number (340290720).
Almost surely, 2101441442960 is an apocalyptic number.
101441442960 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 101441442960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217786060800).
101441442960 is an abundant number, since it is smaller than the sum of its proper divisors (334130678640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101441442960 is a wasteful number, since it uses less digits than its factorization.
101441442960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 309 (or 297 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 36.
The spelling of 101441442960 in words is "one hundred one billion, four hundred forty-one million, four hundred forty-two thousand, nine hundred sixty".
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