Search a number
-
+
42143615145 = 355172717529
BaseRepresentation
bin100111001111111101…
…001000100010101001
311000210001122110200000
4213033331020202221
51142302231141040
631205511533213
73021233550432
oct471775104251
9130701573600
1042143615145
1116966a76905
12820198a209
133c882015a8
14207b16c489
151169cb7130
hex9cff488a9

42143615145 has 96 divisors (see below), whose sum is σ = 80517265920. Its totient is φ = 21073582080.

The previous prime is 42143615131. The next prime is 42143615149. The reversal of 42143615145 is 54151634124.

42143615145 is a `hidden beast` number, since 4 + 21 + 4 + 3 + 615 + 14 + 5 = 666.

It is not a de Polignac number, because 42143615145 - 25 = 42143615113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42143615149) 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 95 ways as a sum of consecutive naturals, for example, 5593741 + ... + 5601269.

It is an arithmetic number, because the mean of its divisors is an integer number (838721520).

Almost surely, 242143615145 is an apocalyptic number.

42143615145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42143615145 is a deficient number, since it is larger than the sum of its proper divisors (38373650775).

42143615145 is a wasteful number, since it uses less digits than its factorization.

42143615145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7837 (or 7825 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The spelling of 42143615145 in words is "forty-two billion, one hundred forty-three million, six hundred fifteen thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 17 27 45 51 81 85 135 153 243 255 271 405 459 765 813 1215 1355 1377 2295 2439 4065 4131 4607 6885 7317 7529 12195 13821 20655 21951 22587 23035 36585 37645 41463 65853 67761 69105 109755 112935 124389 127993 203283 207315 329265 338805 373167 383979 609849 621945 639965 1016415 1119501 1151937 1829547 1865835 1919895 2040359 3049245 3455811 5597505 5759685 6121077 9147735 10201795 10367433 17279055 18363231 30605385 31102299 34686103 51837165 55089693 91816155 104058309 155511495 165269079 173430515 275448465 312174927 495807237 520291545 826345395 936524781 1560874635 2479036185 2809574343 4682623905 8428723029 14047871715 42143615145