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2140889101416 = 2332132287274681
BaseRepresentation
bin11111001001110110111…
…011110011010001101000
321120200000020112202120100
4133021312323303101220
5240034020102221131
64315302203225400
7310450141051542
oct37116673632150
97520006482510
102140889101416
11755a450a2a8a
122a6b03518260
13126b673a5180
14758961dc692
153aa51cc67e6
hex1f276ef3468

2140889101416 has 48 divisors (see below), whose sum is σ = 6244259881860. Its totient is φ = 658735107840.

The previous prime is 2140889101381. The next prime is 2140889101441. The reversal of 2140889101416 is 6141019880412.

2140889101416 is a `hidden beast` number, since 2 + 140 + 8 + 8 + 91 + 0 + 1 + 416 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2133381572100 + 7507529316 = 1460610^2 + 86646^2 .

It is a super-2 number, since 2×21408891014162 (a number of 25 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, 1143636405 + ... + 1143638276.

Almost surely, 22140889101416 is an apocalyptic number.

2140889101416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2140889101416 is an abundant number, since it is smaller than the sum of its proper divisors (4103370780444).

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

2140889101416 is a wasteful number, since it uses less digits than its factorization.

2140889101416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2287274706 (or 2287274699 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 2140889101416 in words is "two trillion, one hundred forty billion, eight hundred eighty-nine million, one hundred one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 2287274681 4574549362 6861824043 9149098724 13723648086 18298197448 20585472129 27447296172 29734570853 41170944258 54894592344 59469141706 82341888516 89203712559 118938283412 164683777032 178407425118 237876566824 267611137677 356814850236 535222275354 713629700472 1070444550708 2140889101416