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140341823307 = 327217191994951
BaseRepresentation
bin1000001010110100000…
…1100100011101001011
3111102020122220022011200
42002231001210131023
54244410001321212
6144245552155243
713065541546500
oct2025501443513
9442218808150
10140341823307
1154578334044
1223248238b23
13103076444ca
146b14bab4a7
1539b5c426dc
hex20ad06474b

140341823307 has 144 divisors (see below), whose sum is σ = 264199104000. Its totient is φ = 71131737600.

The previous prime is 140341823299. The next prime is 140341823353. The reversal of 140341823307 is 703328143041.

140341823307 is a `hidden beast` number, since 1 + 4 + 0 + 3 + 418 + 233 + 0 + 7 = 666.

It is not a de Polignac number, because 140341823307 - 23 = 140341823299 is a prime.

It is not an unprimeable number, because it can be changed into a prime (140341823357) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28343682 + ... + 28348632.

It is an arithmetic number, because the mean of its divisors is an integer number (1834716000).

Almost surely, 2140341823307 is an apocalyptic number.

140341823307 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

140341823307 is a deficient number, since it is larger than the sum of its proper divisors (123857280693).

140341823307 is a wasteful number, since it uses less digits than its factorization.

140341823307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5206 (or 5196 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 140341823307 its reverse (703328143041), we get a palindrome (843669966348).

The spelling of 140341823307 in words is "one hundred forty billion, three hundred forty-one million, eight hundred twenty-three thousand, three hundred seven".

Divisors: 1 3 7 9 17 19 21 49 51 57 63 119 133 147 153 171 199 323 357 399 441 597 833 931 969 1071 1197 1393 1791 2261 2499 2793 2907 3383 3781 4179 4951 6783 7497 8379 9751 10149 11343 12537 14853 15827 20349 23681 26467 29253 30447 34029 34657 44559 47481 64277 71043 79401 84167 87759 94069 103971 142443 165767 185269 192831 213129 238203 242599 252501 282207 311913 449939 497301 555807 578493 589169 658483 727797 757503 846621 985249 1349817 1491903 1599173 1667421 1767507 1975449 2183391 2955747 3149573 4049451 4124183 4609381 4797519 5302521 5926347 6896743 8867241 9448719 11194211 12372549 13828143 14392557 16749233 18719731 20690229 28346157 33582633 37117647 41484429 48277201 50247699 56159193 62070687 78359477 100747899 117244631 131038117 144831603 150743097 168477579 235078431 318235427 351733893 393114351 434494809 705235293 820712417 917266819 954706281 1055201679 1179343053 2227647989 2462137251 2751800457 2864118843 6682943967 7386411753 8255401371 15593535923 20048831901 46780607769 140341823307