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140431024420323 = 371317340914874889
BaseRepresentation
bin11111111011100010100101…
…010100110111010111100011
3200102020002000112201202110120
4133323202211110313113203
5121401310214222422243
61214401042204131323
741402543461306110
oct3773424524672743
9612202015652416
10140431024420323
114082251028a83a
1213900581b36b43
1360487867213b0
142696c7d9a1907
151137dee915c83
hex7fb8a55375e3

140431024420323 has 128 divisors (see below), whose sum is σ = 232553515622400. Its totient is φ = 73400853307392.

The previous prime is 140431024420301. The next prime is 140431024420381. The reversal of 140431024420323 is 323024420134041.

It is not a de Polignac number, because 140431024420323 - 28 = 140431024420067 is a prime.

It is a super-3 number, since 3×1404310244203233 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (140431024420523) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 28723872463 + ... + 28723877351.

It is an arithmetic number, because the mean of its divisors is an integer number (1816824340800).

Almost surely, 2140431024420323 is an apocalyptic number.

140431024420323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

140431024420323 is a deficient number, since it is larger than the sum of its proper divisors (92122491202077).

140431024420323 is a wasteful number, since it uses less digits than its factorization.

140431024420323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6981.

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 140431024420323 its reverse (323024420134041), we get a palindrome (463455444554364).

The spelling of 140431024420323 in words is "one hundred forty trillion, four hundred thirty-one billion, twenty-four million, four hundred twenty thousand, three hundred twenty-three".

Divisors: 1 3 7 13 21 39 91 173 273 409 519 1211 1227 1487 2249 2863 3633 4461 4889 5317 6747 8589 10409 14667 15743 15951 19331 31227 34223 37219 47229 57993 63557 70757 102669 111657 135317 190671 212271 257251 405951 444899 495299 608183 771753 845797 919841 1334697 1485897 1800757 1824549 1999601 2537391 2759523 3344263 4257281 5402271 5920579 5998803 6438887 7269943 7906379 10032789 10995361 12771843 13997207 17761737 19316661 21809829 23409841 23719137 25994813 32986083 41991621 50889601 55344653 70229523 76967527 77984439 94509259 105215659 152668803 166033959 181963691 230902581 283527777 315646977 345930973 545891073 661564813 736509613 1037792919 1257700139 1367803567 1984694439 2209528839 2421516811 2973406687 3773100417 4103410701 4497102649 7264550433 8803900973 8920220061 9574624969 13491307947 16350101807 20813846809 26411702919 28723874907 31479718543 38654286931 49050305421 62441540427 94439155629 114450712649 115962860793 270580008517 343352137947 514399356851 811740025551 1543198070553 3600795497957 6687191639063 10802386493871 20061574917189 46810341473441 140431024420323