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231043313040 = 243517173327331
BaseRepresentation
bin1101011100101101000…
…0010010110110010000
3211002100210202101022020
43113023100102312100
512241134042004130
6254050112011440
722456316520561
oct3271320226620
9732323671266
10231043313040
1189a91a21811
123893bb30b80
1318a308a7c67
14b27ad10168
156023987e10
hex35cb412d90

231043313040 has 160 divisors (see below), whose sum is σ = 762751645056. Its totient is φ = 57651978240.

The previous prime is 231043312987. The next prime is 231043313041. The reversal of 231043313040 is 40313340132.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 231043313040.

It is not an unprimeable number, because it can be changed into a prime (231043313041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 542175 + ... + 869505.

Almost surely, 2231043313040 is an apocalyptic number.

231043313040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231043313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381375822528).

231043313040 is an abundant number, since it is smaller than the sum of its proper divisors (531708332016).

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

231043313040 is a wasteful number, since it uses less digits than its factorization.

231043313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327537 (or 327531 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 231043313040 its reverse (40313340132), we get a palindrome (271356653172).

The spelling of 231043313040 in words is "two hundred thirty-one billion, forty-three million, three hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 173 204 240 255 272 340 346 408 510 519 680 692 816 865 1020 1038 1360 1384 1730 2040 2076 2595 2768 2941 3460 4080 4152 5190 5882 6920 8304 8823 10380 11764 13840 14705 17646 20760 23528 29410 35292 41520 44115 47056 58820 70584 88230 117640 141168 176460 235280 327331 352920 654662 705840 981993 1309324 1636655 1963986 2618648 3273310 3927972 4909965 5237296 5564627 6546620 7855944 9819930 11129254 13093240 15711888 16693881 19639860 22258508 26186480 27823135 33387762 39279720 44517016 55646270 56628263 66775524 78559440 83469405 89034032 111292540 113256526 133551048 166938810 169884789 222585080 226513052 267102096 283141315 333877620 339769578 445170160 453026104 566282630 667755240 679539156 849423945 906052208 962680471 1132565260 1335510480 1359078312 1698847890 1925360942 2265130520 2718156624 2888041413 3397695780 3850721884 4530261040 4813402355 5776082826 6795391560 7701443768 9626804710 11552165652 13590783120 14440207065 15402887536 19253609420 23104331304 28880414130 38507218840 46208662608 57760828260 77014437680 115521656520 231043313040