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140431102221300 = 223521177175514433
BaseRepresentation
bin11111111011100010101001…
…111101101001101111110100
3200102020002012222010110100020
4133323202221331221233310
5121401310344132040200
61214401054023445140
741402545424513112
oct3773425175515764
9612202188113306
10140431102221300
1140822550199870
12139005a3bb67b0
136048799891887
142696c8a054ab2
151137e06682ea0
hex7fb8a9f69bf4

140431102221300 has 144 divisors (see below), whose sum is σ = 443309143190592. Its totient is φ = 34039485849600.

The previous prime is 140431102221233. The next prime is 140431102221341. The reversal of 140431102221300 is 3122201134041.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22708884 + ... + 28223316.

Almost surely, 2140431102221300 is an apocalyptic number.

140431102221300 is a gapful number since it is divisible by the number (10) 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 140431102221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221654571595296).

140431102221300 is an abundant number, since it is smaller than the sum of its proper divisors (302878040969292).

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

140431102221300 is a wasteful number, since it uses less digits than its factorization.

140431102221300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5522178 (or 5522171 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 140431102221300 its reverse (3122201134041), we get a palindrome (143553303355341).

The spelling of 140431102221300 in words is "one hundred forty trillion, four hundred thirty-one billion, one hundred two million, two hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 7717 15434 23151 30868 38585 46302 77170 84887 92604 115755 154340 169774 192925 231510 254661 339548 385850 424435 463020 509322 578775 771700 848870 1018644 1157550 1273305 1697740 2122175 2315100 2546610 4244350 5093220 5514433 6366525 8488700 11028866 12733050 16543299 22057732 25466100 27572165 33086598 55144330 60658763 66173196 82716495 110288660 121317526 137860825 165432990 181976289 242635052 275721650 303293815 330865980 363952578 413582475 551443300 606587630 727905156 827164950 909881445 1213175260 1516469075 1654329900 1819762890 3032938150 3639525780 4549407225 6065876300 9098814450 18197628900 42554879461 85109758922 127664638383 170219517844 212774397305 255329276766 425548794610 468103674071 510658553532 638323191915 851097589220 936207348142 1063871986525 1276646383830 1404311022213 1872414696284 2127743973050 2340518370355 2553292767660 2808622044426 3191615959575 4255487946100 4681036740710 5617244088852 6383231919150 7021555111065 9362073481420 11702591851775 12766463838300 14043110222130 23405183703550 28086220444260 35107775555325 46810367407100 70215551110650 140431102221300