Search a number
-
+
133143044112 = 24331323707807
BaseRepresentation
bin111101111111111110…
…0011010000000010000
3110201122222010102121000
41323333330122000100
54140134104402422
6141055353302000
712422260126161
oct1737774320020
9421588112530
10133143044112
1151513860751
1221979404900
13c72b0c0b50
146630aa9768
1536e3c60cac
hex1efff1a010

133143044112 has 80 divisors (see below), whose sum is σ = 411567546880. Its totient is φ = 40967088768.

The previous prime is 133143044081. The next prime is 133143044113. The reversal of 133143044112 is 211440341331.

133143044112 is a `hidden beast` number, since 1 + 3 + 314 + 304 + 41 + 1 + 2 = 666.

133143044112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (133143044113) 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, 11848288 + ... + 11859519.

It is an arithmetic number, because the mean of its divisors is an integer number (5144594336).

Almost surely, 2133143044112 is an apocalyptic number.

133143044112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133143044112 is an abundant number, since it is smaller than the sum of its proper divisors (278424502768).

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

133143044112 is a wasteful number, since it uses less digits than its factorization.

133143044112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23707837 (or 23707825 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 133143044112 its reverse (211440341331), we get a palindrome (344583385443).

The spelling of 133143044112 in words is "one hundred thirty-three billion, one hundred forty-three million, forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 23707807 47415614 71123421 94831228 142246842 189662456 213370263 284493684 308201491 379324912 426740526 568987368 616402982 640110789 853481052 924604473 1137974736 1232805964 1280221578 1706962104 1849208946 2465611928 2560443156 2773813419 3413924208 3698417892 4931223856 5120886312 5547626838 7396835784 8321440257 10241772624 11095253676 14793671568 16642880514 22190507352 33285761028 44381014704 66571522056 133143044112