Search a number
-
+
42343066034324 = 22117692837441107
BaseRepresentation
bin10011010000010110000110…
…11010001110000010010100
312112220221212002001002220222
421220023003122032002110
521022222044401044244
6230020045213013512
711630120435526506
oct1150130332160224
9175827762032828
1042343066034324
1112545658993160
1248ba453184298
131a81c1aca4c83
14a655b594dd76
154d6691129bee
hex2682c368e094

42343066034324 has 48 divisors (see below), whose sum is σ = 80970596118720. Its totient is φ = 19215000821760.

The previous prime is 42343066034261. The next prime is 42343066034327.

42343066034324 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×423430660343242 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42343066034327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95772179 + ... + 96213285.

It is an arithmetic number, because the mean of its divisors is an integer number (1686887419140).

Almost surely, 242343066034324 is an apocalyptic number.

42343066034324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42343066034324 is a deficient number, since it is larger than the sum of its proper divisors (38627530084396).

42343066034324 is a wasteful number, since it uses less digits than its factorization.

42343066034324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444728 (or 444726 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 44.

The spelling of 42343066034324 in words is "forty-two trillion, three hundred forty-three billion, sixty-six million, thirty-four thousand, three hundred twenty-four".

Divisors: 1 2 4 11 22 44 769 1538 2837 3076 5674 8459 11348 16918 31207 33836 62414 124828 441107 882214 1764428 2181653 4363306 4852177 8726612 9704354 19408708 23998183 47996366 95992732 339211283 678422566 1251420559 1356845132 2502841118 3731324113 5005682236 7462648226 13765626149 14925296452 27531252298 55062504596 962342409871 1924684819742 3849369639484 10585766508581 21171533017162 42343066034324