Base | Representation |
---|---|
bin | 10001011010100… |
… | …11100001000000 |
3 | 101011220100111020 |
4 | 20231103201000 |
5 | 244400003034 |
6 | 22255145440 |
7 | 3422531310 |
oct | 1055234100 |
9 | 334810436 |
10 | 146094144 |
11 | 75514769 |
12 | 40b15280 |
13 | 24362151 |
14 | 1558d440 |
15 | cc5c249 |
hex | 8b53840 |
146094144 has 112 divisors (see below), whose sum is σ = 448275456. Its totient is φ = 41126400.
The previous prime is 146094077. The next prime is 146094149. The reversal of 146094144 is 441490641.
It is a tau number, because it is divible by the number of its divisors (112).
It is a super-2 number, since 2×1460941442 = 42686997822185472, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (146094149) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94659 + ... + 96189.
Almost surely, 2146094144 is an apocalyptic number.
146094144 is a gapful number since it is divisible by the number (14) 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 146094144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224137728).
146094144 is an abundant number, since it is smaller than the sum of its proper divisors (302181312).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
146094144 is a wasteful number, since it uses less digits than its factorization.
146094144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1624 (or 1614 counting only the distinct ones).
The product of its (nonzero) digits is 13824, while the sum is 33.
The square root of 146094144 is about 12086.9410522266. The cubic root of 146094144 is about 526.6768984464.
The spelling of 146094144 in words is "one hundred forty-six million, ninety-four thousand, one hundred forty-four".
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