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2095142841 = 35112353643
BaseRepresentation
bin111110011100001…
…0101011110111001
312102000101021200000
41330320111132321
513242324032331
6543522103213
7102630264111
oct17470253671
95360337600
102095142841
11985720910
124a57aab09
132750aa0bc
1415c384041
15c3e080e6
hex7ce157b9

2095142841 has 96 divisors (see below), whose sum is σ = 3645637632. Its totient is φ = 1189805760.

The previous prime is 2095142839. The next prime is 2095142873. The reversal of 2095142841 is 1482415902.

It is not a de Polignac number, because 2095142841 - 21 = 2095142839 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2095142796 and 2095142805.

It is not an unprimeable number, because it can be changed into a prime (2095142821) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3258066 + ... + 3258708.

It is an arithmetic number, because the mean of its divisors is an integer number (37975392).

Almost surely, 22095142841 is an apocalyptic number.

It is an amenable number.

2095142841 is a deficient number, since it is larger than the sum of its proper divisors (1550494791).

2095142841 is a wasteful number, since it uses less digits than its factorization.

2095142841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2095142841 is about 45772.7303205741. The cubic root of 2095142841 is about 1279.5911049477.

The spelling of 2095142841 in words is "two billion, ninety-five million, one hundred forty-two thousand, eight hundred forty-one".

Divisors: 1 3 9 11 23 27 33 53 69 81 99 159 207 243 253 297 477 583 621 643 759 891 1219 1431 1749 1863 1929 2277 2673 3657 4293 5247 5589 5787 6831 7073 10971 12879 13409 14789 15741 17361 20493 21219 32913 34079 40227 44367 47223 52083 61479 63657 98739 102237 120681 133101 141669 156249 162679 190971 296217 306711 362043 374869 399303 488037 572913 783817 920133 1086129 1124607 1197909 1464111 1718739 2351451 2760399 3258387 3373821 3593727 4392333 7054353 8281197 8621987 10121463 13176999 21163059 25865961 30364389 39530997 63489177 77597883 91093167 190467531 232793649 698380947 2095142841