Search a number
-
+
434575523001012 = 223672292360335457
BaseRepresentation
bin110001011001111100111111…
…1101011010011001010110100
32002222201000101101201020202020
41202303321333223103022310
5423430041132342013022
64140133123355313140
7160352021403203631
oct14263717753231264
92088630341636666
10434575523001012
11116518498412228
12408a779344b7b0
13158643b0355b73
1479457d3493188
15353948ee1b35c
hex18b3e7fad32b4

434575523001012 has 48 divisors (see below), whose sum is σ = 1033638103767360. Its totient is φ = 142073311767552.

The previous prime is 434575523000989. The next prime is 434575523001017. The reversal of 434575523001012 is 210100325575434.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434575523001017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1179983613 + ... + 1180351844.

It is an arithmetic number, because the mean of its divisors is an integer number (21534127161820).

Almost surely, 2434575523001012 is an apocalyptic number.

It is an amenable number.

434575523001012 is an abundant number, since it is smaller than the sum of its proper divisors (599062580766348).

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

434575523001012 is a wasteful number, since it uses less digits than its factorization.

434575523001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2360335760 (or 2360335758 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 42.

Adding to 434575523001012 its reverse (210100325575434), we get a palindrome (644675848576446).

The spelling of 434575523001012 in words is "four hundred thirty-four trillion, five hundred seventy-five billion, five hundred twenty-three million, one thousand, twelve".

Divisors: 1 2 3 4 6 12 67 134 201 229 268 402 458 687 804 916 1374 2748 15343 30686 46029 61372 92058 184116 2360335457 4720670914 7081006371 9441341828 14162012742 28324025484 158142475619 316284951238 474427426857 540516819653 632569902476 948854853714 1081033639306 1621550458959 1897709707428 2162067278612 3243100917918 6486201835836 36214626916751 72429253833502 108643880750253 144858507667004 217287761500506 434575523001012