Search a number
-
+
4142543067 = 34136771827
BaseRepresentation
bin1111011011101010…
…0011000011011011
3101200200220222210000
43312322203003123
531440442334232
61523021024043
7204441015015
oct36672430333
911620828700
104142543067
1118363a2a13
129773b5023
1351030c420
142b425b1b5
15193a3027c
hexf6ea30db

4142543067 has 80 divisors (see below), whose sum is σ = 6867286272. Its totient is φ = 2472845760.

The previous prime is 4142543063. The next prime is 4142543081. The reversal of 4142543067 is 7603452414.

It is not a de Polignac number, because 4142543067 - 22 = 4142543063 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4142543063) 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 79 ways as a sum of consecutive naturals, for example, 5008708 + ... + 5009534.

Almost surely, 24142543067 is an apocalyptic number.

4142543067 is a deficient number, since it is larger than the sum of its proper divisors (2724743205).

4142543067 is a wasteful number, since it uses less digits than its factorization.

4142543067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 4142543067 is about 64362.5905864579. The cubic root of 4142543067 is about 1606.0374845148.

The spelling of 4142543067 in words is "four billion, one hundred forty-two million, five hundred forty-three thousand, sixty-seven".

Divisors: 1 3 9 13 27 39 67 71 81 117 201 213 351 603 639 827 871 923 1053 1809 1917 2481 2613 2769 4757 5427 5751 7443 7839 8307 10751 14271 22329 23517 24921 32253 42813 55409 58717 61841 66987 70551 74763 96759 128439 166227 176151 185523 290277 385317 498681 528453 556569 720317 763321 870831 1496043 1585359 1669707 2160951 2289963 3934039 4488129 4756077 5009121 6482853 6869889 11802117 19448559 20609667 35406351 51142507 58345677 61829001 106219053 153427521 318657159 460282563 1380847689 4142543067