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10246105415142 = 234193787416401
BaseRepresentation
bin1001010100011001101101…
…1110010011110111100110
31100021111222200222200220000
42111012123132103313212
52320333010441241032
633442555034122130
72105154021015252
oct225063336236746
940244880880800
1010246105415142
1132a0392433aa3
12119591bb80346
135942853b421c
14275cb25cb262
1512b7d0daae7c
hex9519b793de6

10246105415142 has 80 divisors (see below), whose sum is σ = 23107202975472. Its totient is φ = 3393346867200.

The previous prime is 10246105415123. The next prime is 10246105415153. The reversal of 10246105415142 is 24151450164201.

10246105415142 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 61 + 0 + 541 + 51 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10246105415097 and 10246105415106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24398142 + ... + 24814542.

Almost surely, 210246105415142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10246105415142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11553601487736).

10246105415142 is an abundant number, since it is smaller than the sum of its proper divisors (12861097560330).

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

10246105415142 is a wasteful number, since it uses less digits than its factorization.

10246105415142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417395 (or 417386 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 10246105415142 its reverse (24151450164201), we get a palindrome (34397555579343).

The spelling of 10246105415142 in words is "ten trillion, two hundred forty-six billion, one hundred five million, four hundred fifteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 193 386 579 787 1158 1574 1737 2361 3474 4722 5211 7083 10422 14166 15633 21249 31266 42498 63747 127494 151891 303782 416401 455673 832802 911346 1249203 1367019 2498406 2734038 3747609 4101057 7495218 8202114 11242827 12303171 22485654 24606342 33728481 67456962 80365393 160730786 241096179 327707587 482192358 655415174 723288537 983122761 1446577074 1966245522 2169865611 2949368283 4339731222 5898736566 6509596833 8848104849 13019193666 17696209698 26544314547 53088629094 63247564291 126495128582 189742692873 379485385746 569228078619 1138456157238 1707684235857 3415368471714 5123052707571 10246105415142