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141104412306 = 2321113531034323
BaseRepresentation
bin1000001101101001111…
…0100111011010010010
3111111012210211211121200
42003122132213122102
54302440212143211
6144453353132030
713123461500154
oct2033236473222
9444183754550
10141104412306
1154929842490
122341b6ba016
13103c96290c0
146b88198ad4
153a0cb79b56
hex20da7a7692

141104412306 has 96 divisors (see below), whose sum is σ = 365952105792. Its totient is φ = 38725015680.

The previous prime is 141104412301. The next prime is 141104412329. The reversal of 141104412306 is 603214401141.

141104412306 is a `hidden beast` number, since 141 + 104 + 412 + 3 + 0 + 6 = 666.

141104412306 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 141104412306.

It is not an unprimeable number, because it can be changed into a prime (141104412301) 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 47 ways as a sum of consecutive naturals, for example, 380740 + ... + 653583.

It is an arithmetic number, because the mean of its divisors is an integer number (3812001102).

Almost surely, 2141104412306 is an apocalyptic number.

141104412306 is an abundant number, since it is smaller than the sum of its proper divisors (224847693486).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

141104412306 is a wasteful number, since it uses less digits than its factorization.

141104412306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034408 (or 1034405 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 141104412306 its reverse (603214401141), we get a palindrome (744318813447).

The spelling of 141104412306 in words is "one hundred forty-one billion, one hundred four million, four hundred twelve thousand, three hundred six".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 53 66 78 99 106 117 143 159 198 234 286 318 429 477 583 689 858 954 1166 1287 1378 1749 2067 2574 3498 4134 5247 6201 7579 10494 12402 15158 22737 45474 68211 136422 1034323 2068646 3102969 6205938 9308907 11377553 13446199 18617814 22755106 26892398 34132659 40338597 54819119 68265318 80677194 102397977 109638238 121015791 147908189 164457357 204795954 242031582 295816378 328914714 443724567 493372071 603010309 712648547 887449134 986744142 1206020618 1331173701 1425297094 1809030927 2137945641 2662347402 3618061854 4275891282 5427092781 6413836923 7839134017 10854185562 12827673846 15678268034 23517402051 47034804102 70552206153 141104412306