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146312426444513 = 7167261747825881
BaseRepresentation
bin100001010001001000000100…
…001101000101011011100001
3201012001022221120020220111012
4201101020010031011123201
5123134140322132211023
61235103000101030305
742550503215541050
oct4121100415053341
9635038846226435
10146312426444513
114268a82a40964a
12144b03b36b5395
1363842831a3a34
14281b7b8726397
1511dadc6a3c978
hex8512043456e1

146312426444513 has 16 divisors (see below), whose sum is σ = 168279765798144. Its totient is φ = 124612052071680.

The previous prime is 146312426444477. The next prime is 146312426444519. The reversal of 146312426444513 is 315444624213641.

It is a cyclic number.

It is not a de Polignac number, because 146312426444513 - 240 = 145212914816737 is a prime.

It is a super-2 number, since 2×1463124264445132 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (146312426444519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20853668 + ... + 26972213.

It is an arithmetic number, because the mean of its divisors is an integer number (10517485362384).

Almost surely, 2146312426444513 is an apocalyptic number.

It is an amenable number.

146312426444513 is a deficient number, since it is larger than the sum of its proper divisors (21967339353631).

146312426444513 is a wasteful number, since it uses less digits than its factorization.

146312426444513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47828672.

The product of its digits is 6635520, while the sum is 50.

The spelling of 146312426444513 in words is "one hundred forty-six trillion, three hundred twelve billion, four hundred twenty-six million, four hundred forty-four thousand, five hundred thirteen".

Divisors: 1 7 167 1169 2617 18319 437039 3059273 47825881 334781167 7986922127 55908454889 125160330577 876122314039 20901775206359 146312426444513