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10040144143024 = 2441107158390359
BaseRepresentation
bin1001001000011010011100…
…1110011010001010110000
31022112211100220112000101101
42102012213032122022300
52303444203400034044
633204213433214144
72054243063052202
oct222064716321260
938484326460341
1010040144143024
113221001693926
121161a1bb61354
1357aa21038ac8
14269d348dc772
151262793edcd4
hex921a739a2b0

10040144143024 has 80 divisors (see below), whose sum is σ = 20126401827840. Its totient is φ = 4848740395520.

The previous prime is 10040144143013. The next prime is 10040144143039. The reversal of 10040144143024 is 42034144104001.

It is a junction number, because it is equal to n+sod(n) for n = 10040144142983 and 10040144143001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111068757 + ... + 111159115.

It is an arithmetic number, because the mean of its divisors is an integer number (251580022848).

Almost surely, 210040144143024 is an apocalyptic number.

It is an amenable number.

10040144143024 is an abundant number, since it is smaller than the sum of its proper divisors (10086257684816).

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

10040144143024 is a wasteful number, since it uses less digits than its factorization.

10040144143024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92098 (or 92092 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 10040144143024 its reverse (42034144104001), we get a palindrome (52074288247025).

The spelling of 10040144143024 in words is "ten trillion, forty billion, one hundred forty-four million, one hundred forty-three thousand, twenty-four".

Divisors: 1 2 4 8 16 41 82 107 164 214 328 428 656 856 1583 1712 3166 4387 6332 8774 12664 17548 25328 35096 64903 70192 90359 129806 169381 180718 259612 338762 361436 519224 677524 722872 1038448 1355048 1445744 2710096 3704719 6944621 7409438 9668413 13889242 14818876 19336826 27778484 29637752 38673652 55556968 59275504 77347304 111113936 143038297 154694608 286076594 396404933 572153188 792809866 1144306376 1585619732 2288612752 3171239464 5864570177 6342478928 11729140354 15305097779 23458280708 30610195558 46916561416 61220391116 93833122832 122440782232 244881564464 627509008939 1255018017878 2510036035756 5020072071512 10040144143024