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146441106813 = 3242343394643
BaseRepresentation
bin1000100001100010010…
…0011111010101111101
3111222222201210000012210
42020120210133111331
54344402410404223
6151135113051033
713402642604241
oct2103044372575
9458881700183
10146441106813
1157118207011
122446a9b6a79
1310a6a1628c1
147132c62421
153c2143c893
hex221891f57d

146441106813 has 16 divisors (see below), whose sum is σ = 195422492160. Its totient is φ = 97543608624.

The previous prime is 146441106781. The next prime is 146441106827. The reversal of 146441106813 is 318601144641.

146441106813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 146441106813 - 25 = 146441106781 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146441106113) 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 15 ways as a sum of consecutive naturals, for example, 31537870 + ... + 31542512.

It is an arithmetic number, because the mean of its divisors is an integer number (12213905760).

Almost surely, 2146441106813 is an apocalyptic number.

It is an amenable number.

146441106813 is a deficient number, since it is larger than the sum of its proper divisors (48981385347).

146441106813 is a wasteful number, since it uses less digits than its factorization.

146441106813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11408.

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 146441106813 in words is "one hundred forty-six billion, four hundred forty-one million, one hundred six thousand, eight hundred thirteen".

Divisors: 1 3 2423 4339 4643 7269 13017 13929 10513397 11249989 20145977 31540191 33749967 60437931 48813702271 146441106813