Search a number
-
+
42743834724 = 22343473075741
BaseRepresentation
bin100111110011101110…
…110010100001100100
311002022220001210010210
4213303232302201210
51200014410202344
631345232415420
73042142412643
oct476356624144
9132286053123
1042743834724
1117144864748
12834a9a7570
1340526760c6
1420d6b7135a
1511a2829db9
hex9f3bb2864

42743834724 has 96 divisors (see below), whose sum is σ = 104584144896. Its totient is φ = 13573768320.

The previous prime is 42743834717. The next prime is 42743834741.

42743834724 is nontrivially palindromic in base 10.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7442494 + ... + 7448234.

It is an arithmetic number, because the mean of its divisors is an integer number (1089418176).

Almost surely, 242743834724 is an apocalyptic number.

It is an amenable number.

42743834724 is an abundant number, since it is smaller than the sum of its proper divisors (61840310172).

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

42743834724 is a wasteful number, since it uses less digits than its factorization.

42743834724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6145 (or 6143 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 48.

The spelling of 42743834724 in words is "forty-two billion, seven hundred forty-three million, eight hundred thirty-four thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 12 43 47 86 94 129 141 172 188 258 282 307 516 564 614 921 1228 1842 2021 3684 4042 5741 6063 8084 11482 12126 13201 14429 17223 22964 24252 26402 28858 34446 39603 43287 52804 57716 68892 79206 86574 158412 173148 246863 269827 493726 539654 620447 740589 809481 987452 1079308 1240894 1481178 1618962 1762487 1861341 2481788 2962356 3237924 3524974 3722682 5287461 7049948 7445364 10574922 11602561 21149844 23205122 34807683 46410244 69615366 75786941 82836889 139230732 151573882 165673778 227360823 248510667 303147764 331347556 454721646 497021334 909443292 994042668 3561986227 7123972454 10685958681 14247944908 21371917362 42743834724