| Base | Representation |
|---|---|
| bin | 1000100001011101010… |
| … | …0100001101000000000 |
| 3 | 111222221021100000112000 |
| 4 | 2020113110201220000 |
| 5 | 4344332024112030 |
| 6 | 151133043504000 |
| 7 | 13402266460110 |
| oct | 2102724415000 |
| 9 | 458837300460 |
| 10 | 146420144640 |
| 11 | 57107399900 |
| 12 | 24463988000 |
| 13 | 10a65a03553 |
| 14 | 7130167040 |
| 15 | 3c1e69b860 |
| hex | 2217521a00 |
146420144640 has 1920 divisors, whose sum is σ = 680251461120. Its totient is φ = 29196288000.
The previous prime is 146420144639. The next prime is 146420144641. The reversal of 146420144640 is 46441024641.
146420144640 is a `hidden beast` number, since 1 + 4 + 6 + 4 + 2 + 0 + 1 + 4 + 4 + 640 = 666.
It is an interprime number because it is at equal distance from previous prime (146420144639) and next prime (146420144641).
It is a tau number, because it is divible by the number of its divisors (1920).
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 = 146420144595 and 146420144604.
It is not an unprimeable number, because it can be changed into a prime (146420144641) by changing a digit.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2400330210 + ... + 2400330270.
It is an arithmetic number, because the mean of its divisors is an integer number (354297636).
Almost surely, 2146420144640 is an apocalyptic number.
146420144640 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 146420144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340125730560).
146420144640 is an abundant number, since it is smaller than the sum of its proper divisors (533831316480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
146420144640 is a wasteful number, since it uses less digits than its factorization.
146420144640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 163 (or 130 counting only the distinct ones).
The product of its (nonzero) digits is 73728, while the sum is 36.
The spelling of 146420144640 in words is "one hundred forty-six billion, four hundred twenty million, one hundred forty-four thousand, six hundred forty".
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