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41409159761448 = 23321721990059581
BaseRepresentation
bin10010110101001010100100…
…10000100000111000101000
312102121200021112121220022100
421122211102100200320220
520411421424344331243
6224023034432253400
711502466403301453
oct1132452220407050
9172550245556270
1041409159761448
1112215587172746
1247894579a1260
131a14b36a8a90b
14a322dd40649a
154bc2320b50d3
hex25a952420e28

41409159761448 has 72 divisors (see below), whose sum is σ = 119134916876430. Its totient is φ = 12991108938240.

The previous prime is 41409159761447. The next prime is 41409159761467. The reversal of 41409159761448 is 84416795190414.

41409159761448 is a `hidden beast` number, since 4 + 1 + 4 + 0 + 9 + 1 + 5 + 9 + 7 + 614 + 4 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 39173303464164 + 2235856297284 = 6258858^2 + 1495278^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (41409159761441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 995008983 + ... + 995050598.

Almost surely, 241409159761448 is an apocalyptic number.

It is an amenable number.

41409159761448 is an abundant number, since it is smaller than the sum of its proper divisors (77725757114982).

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

41409159761448 is a wasteful number, since it uses less digits than its factorization.

41409159761448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990059627 (or 1990059603 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 41409159761448 in words is "forty-one trillion, four hundred nine billion, one hundred fifty-nine million, seven hundred sixty-one thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 289 306 408 578 612 867 1156 1224 1734 2312 2601 3468 5202 6936 10404 20808 1990059581 3980119162 5970178743 7960238324 11940357486 15920476648 17910536229 23880714972 33831012877 35821072458 47761429944 67662025754 71642144916 101493038631 135324051508 143284289832 202986077262 270648103016 304479115893 405972154524 575127218909 608958231786 811944309048 1150254437818 1217916463572 1725381656727 2300508875636 2435832927144 3450763313454 4601017751272 5176144970181 6901526626908 10352289940362 13803053253816 20704579880724 41409159761448