Base | Representation |
---|---|
bin | 100001001110011000000001… |
… | …100011000110011011111111 |
3 | 201011101021001012220102122212 |
4 | 201032120001203012123333 |
5 | 123123041212222320020 |
6 | 1234440055331331035 |
7 | 42531032103530450 |
oct | 4116300143063377 |
9 | 634337035812585 |
10 | 146123403323135 |
11 | 42617650823867 |
12 | 1447b840150a7b |
13 | 636c4bb075114 |
14 | 28125a6417127 |
15 | 11d60120dbcc5 |
hex | 84e6018c66ff |
146123403323135 has 16 divisors (see below), whose sum is σ = 200809304772096. Its totient is φ = 99993157885728.
The previous prime is 146123403323101. The next prime is 146123403323137. The reversal of 146123403323135 is 531323304321641.
It is a cyclic number.
It is a de Polignac number, because none of the positive numbers 2k-146123403323135 is a prime.
It is a super-3 number, since 3×1461234033231353 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 146123403323092 and 146123403323101.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (146123403323137) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4286383757 + ... + 4286417846.
It is an arithmetic number, because the mean of its divisors is an integer number (12550581548256).
Almost surely, 2146123403323135 is an apocalyptic number.
146123403323135 is a deficient number, since it is larger than the sum of its proper divisors (54685901448961).
146123403323135 is an equidigital number, since it uses as much as digits as its factorization.
146123403323135 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8572802102.
The product of its (nonzero) digits is 466560, while the sum is 41.
Adding to 146123403323135 its reverse (531323304321641), we get a palindrome (677446707644776).
The spelling of 146123403323135 in words is "one hundred forty-six trillion, one hundred twenty-three billion, four hundred three million, three hundred twenty-three thousand, one hundred thirty-five".
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