| Base | Representation |
|---|---|
| bin | 101101101111000011000010… |
| … | …000000100110000000000000 |
| 3 | 222101012021211021111022020000 |
| 4 | 231233003002000212000000 |
| 5 | 202331030243303414244 |
| 6 | 1551444451250120000 |
| 7 | 60240154442155542 |
| oct | 5557030200460000 |
| 9 | 871167737438200 |
| 10 | 201145163341824 |
| 11 | 59100203954529 |
| 12 | 1a687344280000 |
| 13 | 8830ba4a68b50 |
| 14 | 3795699319692 |
| 15 | 183c3a9996169 |
| hex | b6f0c2026000 |
201145163341824 has 560 divisors, whose sum is σ = 685207356438528. Its totient is φ = 58250140581888.
The previous prime is 201145163341709. The next prime is 201145163341831. The reversal of 201145163341824 is 428143361541102.
It is a happy number.
201145163341824 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 4 + 5 + 1 + 633 + 4 + 1 + 8 + 2 + 4 = 666.
201145163341824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2011451633418242 (a number of 29 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 201145163341824.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 145959169 + ... + 147330815.
Almost surely, 2201145163341824 is an apocalyptic number.
201145163341824 is a gapful number since it is divisible by the number (24) 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 201145163341824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342603678219264).
201145163341824 is an abundant number, since it is smaller than the sum of its proper divisors (484062193096704).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
201145163341824 is a wasteful number, since it uses less digits than its factorization.
201145163341824 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1371715 (or 1371682 counting only the distinct ones).
The product of its (nonzero) digits is 552960, while the sum is 45.
The spelling of 201145163341824 in words is "two hundred one trillion, one hundred forty-five billion, one hundred sixty-three million, three hundred forty-one thousand, eight hundred twenty-four".
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