| Base | Representation |
|---|---|
| bin | 11101111010000100000100… |
| … | …100011010111100100000000 |
| 3 | 122020201110211021101100211000 |
| 4 | 131322010010203113210000 |
| 5 | 114220021001123223131 |
| 6 | 1143425344353252000 |
| 7 | 36463656335132400 |
| oct | 3572040443274400 |
| 9 | 566643737340730 |
| 10 | 131533449820416 |
| 11 | 38a020283987a6 |
| 12 | 12904092264000 |
| 13 | 58517219b1127 |
| 14 | 246a3780cc800 |
| 15 | 1031748365ce6 |
| hex | 77a1048d7900 |
131533449820416 has 864 divisors, whose sum is σ = 483175266739200. Its totient is φ = 35114521559040.
The previous prime is 131533449820411. The next prime is 131533449820453. The reversal of 131533449820416 is 614028944335131.
131533449820416 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 3 + 344 + 98 + 204 + 1 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (864).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (131533449820411) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 304264516 + ... + 304696508.
It is an arithmetic number, because the mean of its divisors is an integer number (559230632800).
Almost surely, 2131533449820416 is an apocalyptic number.
131533449820416 is a gapful number since it is divisible by the number (16) 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 131533449820416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241587633369600).
131533449820416 is an abundant number, since it is smaller than the sum of its proper divisors (351641816918784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131533449820416 is a wasteful number, since it uses less digits than its factorization.
131533449820416 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 432092 (or 432065 counting only the distinct ones).
The product of its (nonzero) digits is 7464960, while the sum is 54.
The spelling of 131533449820416 in words is "one hundred thirty-one trillion, five hundred thirty-three billion, four hundred forty-nine million, eight hundred twenty thousand, four hundred sixteen".
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