Search a number
-
+
41856708316995 = 3551113240908851
BaseRepresentation
bin10011000010001100001100…
…01110110000111101000011
312111012110110222012011100000
421201012012032300331003
520441240014312120440
6225004412323131043
711550022152250035
oct1141060616607503
9174173428164300
1041856708316995
111237836a708640
12484013ab13a83
131a480bc30a310
14a49c384c7c55
154c8bc8019730
hex2611863b0f43

41856708316995 has 96 divisors (see below), whose sum is σ = 88392348705024. Its totient is φ = 18733072176000.

The previous prime is 41856708316993. The next prime is 41856708317057. The reversal of 41856708316995 is 59961380765814.

41856708316995 is a `hidden beast` number, since 41 + 8 + 567 + 0 + 8 + 3 + 16 + 9 + 9 + 5 = 666.

It is not a de Polignac number, because 41856708316995 - 21 = 41856708316993 is a prime.

It is a super-2 number, since 2×418567083169952 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (41856708316993) 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, 120280681 + ... + 120628170.

It is an arithmetic number, because the mean of its divisors is an integer number (920753632344).

Almost surely, 241856708316995 is an apocalyptic number.

41856708316995 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

41856708316995 is an abundant number, since it is smaller than the sum of its proper divisors (46535640388029).

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

41856708316995 is a wasteful number, since it uses less digits than its factorization.

41856708316995 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240908895 (or 240908883 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 72.

The spelling of 41856708316995 in words is "forty-one trillion, eight hundred fifty-six billion, seven hundred eight million, three hundred sixteen thousand, nine hundred ninety-five".

Divisors: 1 3 5 9 11 13 15 27 33 39 45 55 65 81 99 117 135 143 165 195 243 297 351 405 429 495 585 715 891 1053 1215 1287 1485 1755 2145 2673 3159 3861 4455 5265 6435 11583 13365 15795 19305 34749 57915 173745 240908851 722726553 1204544255 2168179659 2649997361 3131815063 3613632765 6504538977 7949992083 9395445189 10840898295 13249986805 15659075315 19513616931 23849976249 28186335567 32522694885 34449965693 39749960415 46977225945 58540850793 71549928747 84559006701 97568084655 103349897079 119249881245 140931677835 172249828465 214649786241 253677020103 292704253965 310049691237 357749643735 422795033505 516749485395 643949358723 761031060309 930149073711 1073248931205 1268385100515 1550248456185 2790447221133 3219746793615 3805155301545 4650745368555 8371341663399 13952236105665 41856708316995