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146322223641 = 32113739946007
BaseRepresentation
bin1000100001000101111…
…0111111001000011001
3111222200110002010011100
42020101132333020121
54344131442124031
6151115225022013
713400000244126
oct2102136771031
9458613063140
10146322223641
1157067098360
1224437024909
1310a4b63a129
14712115774d
153c15ca7de6
hex22117bf219

146322223641 has 24 divisors (see below), whose sum is σ = 236799935424. Its totient is φ = 86283372960.

The previous prime is 146322223633. The next prime is 146322223657.

146322223641 is a `hidden beast` number, since 1 + 4 + 6 + 3 + 2 + 2 + 2 + 2 + 3 + 641 = 666.

146322223641 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 146322223641 - 23 = 146322223633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 146322223596 and 146322223605.

It is not an unprimeable number, because it can be changed into a prime (146322223601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19969341 + ... + 19976666.

It is an arithmetic number, because the mean of its divisors is an integer number (9866663976).

Almost surely, 2146322223641 is an apocalyptic number.

146322223641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

146322223641 is a deficient number, since it is larger than the sum of its proper divisors (90477711783).

146322223641 is a wasteful number, since it uses less digits than its factorization.

146322223641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39946061 (or 39946058 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 146322 and 223641, that added together give a palindrome (369963).

The spelling of 146322223641 in words is "one hundred forty-six billion, three hundred twenty-two million, two hundred twenty-three thousand, six hundred forty-one".

Divisors: 1 3 9 11 33 37 99 111 333 407 1221 3663 39946007 119838021 359514063 439406077 1318218231 1478002259 3954654693 4434006777 13302020331 16258024849 48774074547 146322223641