Search a number
-
+
243131442120 = 23325796480731
BaseRepresentation
bin1110001001101111000…
…0110110001111001000
3212020120020200222000200
43202123300312033020
512440413122121440
6303405410332200
723365011105450
oct3423360661710
9766506628020
10243131442120
11941253a7036
123b15428a060
1319c09087c68
14baa650cd60
1564ced15c30
hex389bc363c8

243131442120 has 96 divisors (see below), whose sum is σ = 903059651520. Its totient is φ = 55572900480.

The previous prime is 243131442107. The next prime is 243131442121. The reversal of 243131442120 is 21244131342.

243131442120 is a `hidden beast` number, since 2 + 431 + 3 + 14 + 4 + 212 + 0 = 666.

243131442120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2431314421202 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (243131442121) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 48237846 + ... + 48242885.

It is an arithmetic number, because the mean of its divisors is an integer number (9406871370).

Almost surely, 2243131442120 is an apocalyptic number.

243131442120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243131442120 is an abundant number, since it is smaller than the sum of its proper divisors (659928209400).

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

243131442120 is a wasteful number, since it uses less digits than its factorization.

243131442120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96480755 (or 96480748 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 243131442120 its reverse (21244131342), we get a palindrome (264375573462).

The spelling of 243131442120 in words is "two hundred forty-three billion, one hundred thirty-one million, four hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 96480731 192961462 289442193 385922924 482403655 578884386 675365117 771845848 868326579 964807310 1157768772 1350730234 1447210965 1736653158 1929614620 2026095351 2315537544 2701460468 2894421930 3376825585 3473306316 3859229240 4052190702 4341632895 5402920936 5788843860 6078286053 6753651170 6946612632 8104381404 8683265790 10130476755 11577687720 12156572106 13507302340 16208762808 17366531580 20260953510 24313144212 27014604680 30391430265 34733063160 40521907020 48626288424 60782860530 81043814040 121565721060 243131442120