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231230234132240 = 245714532399118457
BaseRepresentation
bin110100100100110101111011…
…111101110111111100010000
31010022201101122120212222110112
4310210311323331313330100
5220301434004414212430
62135441411511420452
766463555521422150
oct6444657375677420
91108641576788415
10231230234132240
116774a21200a542
1221b25b75684728
139c03bc0a25cb5
144115862a8c760
151baec67eca195
hexd24d7bf77f10

231230234132240 has 160 divisors (see below), whose sum is σ = 615096102758400. Its totient is φ = 79190682734592.

The previous prime is 231230234132147. The next prime is 231230234132251. The reversal of 231230234132240 is 42231432032132.

It is a junction number, because it is equal to n+sod(n) for n = 231230234132197 and 231230234132206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1951959092 + ... + 1952077548.

It is an arithmetic number, because the mean of its divisors is an integer number (3844350642240).

Almost surely, 2231230234132240 is an apocalyptic number.

231230234132240 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 231230234132240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307548051379200).

231230234132240 is an abundant number, since it is smaller than the sum of its proper divisors (383865868626160).

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

231230234132240 is a wasteful number, since it uses less digits than its factorization.

231230234132240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122329 (or 122323 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 231230234132240 its reverse (42231432032132), we get a palindrome (273461666164372).

The spelling of 231230234132240 in words is "two hundred thirty-one trillion, two hundred thirty billion, two hundred thirty-four million, one hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1453 2399 2906 4798 5812 7265 9596 10171 11624 11995 14530 16793 19192 20342 23248 23990 29060 33586 38384 40684 47980 50855 58120 67172 81368 83965 95960 101710 116240 118457 134344 162736 167930 191920 203420 236914 268688 335860 406840 473828 592285 671720 813680 829199 947656 1184570 1343440 1658398 1895312 2369140 3316796 3485747 4145995 4738280 6633592 6971494 8291990 9476560 13267184 13942988 16583980 17428735 24400229 27885976 33167960 34857470 48800458 55771952 66335920 69714940 97600916 122001145 139429880 172118021 195201832 244002290 278859760 284178343 344236042 390403664 488004580 568356686 688472084 860590105 976009160 1136713372 1204826147 1376944168 1420891715 1721180210 1952018320 1989248401 2273426744 2409652294 2753888336 2841783430 3442360420 3978496802 4546853488 4819304588 5683566860 6024130735 6884720840 7956993604 9638609176 9946242005 11367133720 12048261470 13769441680 15913987208 19277218352 19892484010 22734267440 24096522940 31827974416 39784968020 48193045880 79569936040 96386091760 159139872080 412911132379 825822264758 1651644529516 2064555661895 2890377926653 3303289059032 4129111323790 5780755853306 6606578118064 8258222647580 11561511706612 14451889633265 16516445295160 23123023413224 28903779266530 33032890590320 46246046826448 57807558533060 115615117066120 231230234132240