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146450054641 = 1131101242101
BaseRepresentation
bin1000100001100100011…
…0100111110111110001
3112000000100121121022211
42020121012213313301
54344412203222031
6151140032532121
713403111632222
oct2103106476761
9460010547284
10146450054641
1157122268710
12244719b1041
1310a6bc76587
147134111249
153c22108bb1
hex22191a7df1

146450054641 has 24 divisors (see below), whose sum is σ = 166570331904. Its totient is φ = 127563000000.

The previous prime is 146450054629. The next prime is 146450054651.

It is a happy number.

146450054641 is nontrivially palindromic in base 10.

146450054641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-146450054641 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 146450054594 and 146450054603.

It is not an unprimeable number, because it can be changed into a prime (146450054651) 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 23 ways as a sum of consecutive naturals, for example, 3457491 + ... + 3499591.

It is an arithmetic number, because the mean of its divisors is an integer number (6940430496).

Almost surely, 2146450054641 is an apocalyptic number.

146450054641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

146450054641 is a deficient number, since it is larger than the sum of its proper divisors (20120277263).

146450054641 is a wasteful number, since it uses less digits than its factorization.

146450054641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42345 (or 42244 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 146450054641 in words is "one hundred forty-six billion, four hundred fifty million, fifty-four thousand, six hundred forty-one".

Divisors: 1 11 31 101 341 1111 3131 10201 34441 42101 112211 316231 463111 1305131 3478541 4252201 14356441 46774211 131818231 429472301 1450000541 4724195311 13313641331 146450054641