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146111342301 = 3267734397561
BaseRepresentation
bin1000100000010011101…
…0100010011011011101
3111222010202021020100100
42020010322202123131
54343214000423201
6151042253051313
713361526626541
oct2100472423335
9458122236310
10146111342301
1156a69053061
1224398486b39
1310a16a43082
147101141a21
153c024ee886
hex2204ea26dd

146111342301 has 48 divisors (see below), whose sum is σ = 217657348480. Its totient is φ = 94411215360.

The previous prime is 146111342243. The next prime is 146111342323. The reversal of 146111342301 is 103243111641.

146111342301 is a `hidden beast` number, since 1 + 4 + 6 + 1 + 11 + 342 + 301 = 666.

It is not a de Polignac number, because 146111342301 - 214 = 146111325917 is a prime.

It is a super-3 number, since 3×1461113423013 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146111342701) 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 47 ways as a sum of consecutive naturals, for example, 19320561 + ... + 19328121.

Almost surely, 2146111342301 is an apocalyptic number.

It is an amenable number.

146111342301 is a deficient number, since it is larger than the sum of its proper divisors (71546006179).

146111342301 is a wasteful number, since it uses less digits than its factorization.

146111342301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8146 (or 8143 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 146111342301 its reverse (103243111641), we get a palindrome (249354453942).

The spelling of 146111342301 in words is "one hundred forty-six billion, one hundred eleven million, three hundred forty-two thousand, three hundred one".

Divisors: 1 3 9 67 73 201 219 439 603 657 1317 3951 4891 7561 14673 22683 29413 32047 44019 68049 88239 96141 264717 288423 506587 551953 1519761 1655859 2147149 3319279 4559283 4967577 6441447 9957837 19324341 29873511 36980851 110942553 222391693 242307367 332827659 667175079 726922101 2001525237 2180766303 16234593589 48703780767 146111342301