Search a number
-
+
42231633613224 = 233111249128077109
BaseRepresentation
bin10011001101000110100011…
…00001010001000110101000
312112112022020011021121012120
421212203101201101012220
521013410341201110344
6225452540013311240
711616064151552316
oct1146432141210650
9175468204247176
1042231633613224
111250237621a960
1248a0934795520
131a7456cab7623
14a600444190b6
154d381d3d6219
hex2668d18511a8

42231633613224 has 64 divisors (see below), whose sum is σ = 115269399000000. Its totient is φ = 12787218462720.

The previous prime is 42231633613193. The next prime is 42231633613249.

42231633613224 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63708819 + ... + 64368290.

It is an arithmetic number, because the mean of its divisors is an integer number (1801084359375).

Almost surely, 242231633613224 is an apocalyptic number.

42231633613224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42231633613224 is an abundant number, since it is smaller than the sum of its proper divisors (73037765386776).

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

42231633613224 is a wasteful number, since it uses less digits than its factorization.

42231633613224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128078378 (or 128078374 counting only the distinct ones).

The product of its digits is 746496, while the sum is 42.

It can be divided in two parts, 4223163 and 3613224, that added together give a palindrome (7836387).

The spelling of 42231633613224 in words is "forty-two trillion, two hundred thirty-one billion, six hundred thirty-three million, six hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 1249 2498 3747 4996 7494 9992 13739 14988 27478 29976 41217 54956 82434 109912 164868 329736 128077109 256154218 384231327 512308436 768462654 1024616872 1408848199 1536925308 2817696398 3073850616 4226544597 5635392796 8453089194 11270785592 16906178388 33812356776 159968309141 319936618282 479904927423 639873236564 959809854846 1279746473128 1759651400551 1919619709692 3519302801102 3839239419384 5278954201653 7038605602204 10557908403306 14077211204408 21115816806612 42231633613224