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2140960916367 = 3271319487728211
BaseRepresentation
bin11111001001111011001…
…101110000001110001111
321120200012020200100011100
4133021323031300032033
5240034141443310432
64315313250354143
7310452002344560
oct37117315601617
97520166610140
102140960916367
11755a81693689
122a6b2358b953
13126b7922ab20
14758a1974167
153aa5826007c
hex1f27b37038f

2140960916367 has 96 divisors (see below), whose sum is σ = 4007440120320. Its totient is φ = 1069604040960.

The previous prime is 2140960916273. The next prime is 2140960916371. The reversal of 2140960916367 is 7636190690412.

2140960916367 is a `hidden beast` number, since 2 + 14 + 0 + 9 + 609 + 16 + 3 + 6 + 7 = 666.

It is not a de Polignac number, because 2140960916367 - 210 = 2140960915343 is a prime.

It is a super-2 number, since 2×21409609163672 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140960915367) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75876892 + ... + 75905102.

It is an arithmetic number, because the mean of its divisors is an integer number (41744167920).

Almost surely, 22140960916367 is an apocalyptic number.

2140960916367 is a deficient number, since it is larger than the sum of its proper divisors (1866479203953).

2140960916367 is a wasteful number, since it uses less digits than its factorization.

2140960916367 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33133 (or 33130 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 2140960916367 in words is "two trillion, one hundred forty billion, nine hundred sixty million, nine hundred sixteen thousand, three hundred sixty-seven".

Divisors: 1 3 7 9 13 19 21 39 57 63 91 117 133 171 247 273 399 741 819 1197 1729 2223 4877 5187 14631 15561 28211 34139 43893 63401 84633 92663 102417 190203 197477 253899 277989 307251 366743 443807 536009 570609 592431 648641 833967 1100229 1204619 1331421 1608027 1777293 1945923 2567201 3300687 3613857 3752063 3994263 4824081 5837769 6968117 7701603 8432333 10841571 11256189 20904351 23104809 25296999 33768567 48776819 62713053 75890997 137585047 146330457 412755141 438991371 963095329 1238265423 1788605611 2614115893 2889285987 5365816833 7842347679 8667857961 12520239277 16097450499 18298811251 23527043037 33983506609 37560717831 54896433753 101950519827 112682153493 164689301259 237884546263 305851559481 713653638789 2140960916367