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12141401410098 = 232858297858909
BaseRepresentation
bin1011000010101110001111…
…1010110000101000110010
31120222201002010202222210100
42300223203322300220302
53042411042230110343
641453403253013230
72362121150116362
oct260534372605062
946881063688710
1012141401410098
113961159630104
121441102924216
136a0c1070510c
142dd90b3a89a2
15160c5bbb49d3
hexb0ae3eb0a32

12141401410098 has 24 divisors (see below), whose sum is σ = 26306679566700. Its totient is φ = 4047086134944.

The previous prime is 12141401410087. The next prime is 12141401410121. The reversal of 12141401410098 is 89001410414121.

12141401410098 is a `hidden beast` number, since 1 + 2 + 14 + 140 + 1 + 410 + 0 + 98 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8255720718729 + 3885680691369 = 2873277^2 + 1971213^2 .

It is a super-2 number, since 2×121414014100982 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2384533 + ... + 5474376.

Almost surely, 212141401410098 is an apocalyptic number.

12141401410098 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

12141401410098 is an abundant number, since it is smaller than the sum of its proper divisors (14165278156602).

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

12141401410098 is a wasteful number, since it uses less digits than its factorization.

12141401410098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7944746 (or 7944743 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 12141401410098 in words is "twelve trillion, one hundred forty-one billion, four hundred one million, four hundred ten thousand, ninety-eight".

Divisors: 1 2 3 6 9 18 85829 171658 257487 514974 772461 1544922 7858909 15717818 23576727 47153454 70730181 141460362 674522300561 1349044601122 2023566901683 4047133803366 6070700705049 12141401410098