Search a number
-
+
231133243040 = 25572171734193
BaseRepresentation
bin1101011101000010011…
…1010110011010100000
3211002121001222022001222
43113100213112122200
512241330102234130
6254103043314212
722461461102300
oct3272047263240
9732531868058
10231133243040
118a028765527
123896607b968
1318a4640408b
14b288c3d600
15602b7edce5
hex35d09d66a0

231133243040 has 144 divisors (see below), whose sum is σ = 672568990632. Its totient is φ = 74584129536.

The previous prime is 231133243039. The next prime is 231133243049. The reversal of 231133243040 is 40342331132.

It can be written as a sum of positive squares in 4 ways, for example, as 228954594064 + 2178648976 = 478492^2 + 46676^2 .

It is not an unprimeable number, because it can be changed into a prime (231133243049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 733817 + ... + 1000376.

Almost surely, 2231133243040 is an apocalyptic number.

231133243040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231133243040 is an abundant number, since it is smaller than the sum of its proper divisors (441435747592).

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

231133243040 is a wasteful number, since it uses less digits than its factorization.

231133243040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734239 (or 1734224 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 231133243040 its reverse (40342331132), we get a palindrome (271475574172).

The spelling of 231133243040 in words is "two hundred thirty-one billion, one hundred thirty-three million, two hundred forty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 49 56 68 70 80 85 98 112 119 136 140 160 170 196 224 238 245 272 280 340 392 476 490 544 560 595 680 784 833 952 980 1120 1190 1360 1568 1666 1904 1960 2380 2720 3332 3808 3920 4165 4760 6664 7840 8330 9520 13328 16660 19040 26656 33320 66640 133280 1734193 3468386 6936772 8670965 12139351 13873544 17341930 24278702 27747088 29481281 34683860 48557404 55494176 58962562 60696755 69367720 84975457 97114808 117925124 121393510 138735440 147406405 169950914 194229616 206368967 235850248 242787020 277470880 294812810 339901828 388459232 412737934 424877285 471700496 485574040 589625620 679803656 825475868 849754570 943400992 971148080 1031844835 1179251240 1359607312 1444582769 1650951736 1699509140 1942296160 2063689670 2358502480 2719214624 2889165538 3301903472 3399018280 4127379340 4717004960 5778331076 6603806944 6798036560 7222913845 8254758680 11556662152 13596073120 14445827690 16509517360 23113324304 28891655380 33019034720 46226648608 57783310760 115566621520 231133243040