Search a number
-
+
140430021011322 = 237198111439150791
BaseRepresentation
bin11111111011100001101001…
…100001001010011101111010
3200102012222102121122022002020
4133323201221201022131322
5121401301140334330242
61214400354441415310
741402506555416330
oct3773415141123572
9612188377568066
10140430021011322
11408220459487a9
1213900341a9a536
13604865688c663
142696bc6607b50
151137d917ae6ec
hex7fb86984a77a

140430021011322 has 128 divisors (see below), whose sum is σ = 338530693939200. Its totient is φ = 37937630059200.

The previous prime is 140430021011257. The next prime is 140430021011353. The reversal of 140430021011322 is 223110120034041.

It is a junction number, because it is equal to n+sod(n) for n = 140430021011292 and 140430021011301.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 931213747 + ... + 931364537.

It is an arithmetic number, because the mean of its divisors is an integer number (2644771046400).

Almost surely, 2140430021011322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140430021011322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169265346969600).

140430021011322 is an abundant number, since it is smaller than the sum of its proper divisors (198100672927878).

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

140430021011322 is a wasteful number, since it uses less digits than its factorization.

140430021011322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153072.

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

Adding to 140430021011322 its reverse (223110120034041), we get a palindrome (363540141045363).

The spelling of 140430021011322 in words is "one hundred forty trillion, four hundred thirty billion, twenty-one million, eleven thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 399 798 811 1439 1622 2433 2878 4317 4866 5677 8634 10073 11354 15409 17031 20146 27341 30219 30818 34062 46227 54682 60438 82023 92454 107863 150791 164046 191387 215726 301582 323589 382774 452373 574161 647178 904746 1055537 1148322 1167029 2111074 2334058 2865029 3166611 3501087 5730058 6333222 7002174 8169203 8595087 16338406 17190174 20055203 22173551 24507609 40110406 44347102 49015218 60165609 66520653 120331218 122291501 133041306 155214857 216988249 244583002 310429714 366874503 433976498 465644571 650964747 733749006 856040507 931289142 1301929494 1518917743 1712081014 2323538519 2568121521 3037835486 4122776731 4556753229 4647077038 5136243042 6970615557 8245553462 9113506458 12368330193 13941231114 16264769633 24736660386 28859437117 32529539266 48794308899 57718874234 86578311351 97588617798 173156622702 175977469939 351954939878 527932409817 1055864819634 1231842289573 2463684579146 3343571928841 3695526868719 6687143857682 7391053737438 10030715786523 20061431573046 23405003501887 46810007003774 70215010505661 140430021011322