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41414340441204 = 223217111136089309
BaseRepresentation
bin10010110101010100001110…
…00011001111010001110100
312102122011122120222200220100
421122222013003033101310
520412013032123104304
6224025252500234100
711503041651325203
oct1132520703172164
9172564576880810
1041414340441204
11122177a5567065
12478a46299b930
131a1548119a8b3
14a3267149b23a
154bc436d0b439
hex25aa870cf474

41414340441204 has 72 divisors (see below), whose sum is σ = 110854256614920. Its totient is φ = 12991562975232.

The previous prime is 41414340441197. The next prime is 41414340441241. The reversal of 41414340441204 is 40214404341414.

41414340441204 is a `hidden beast` number, since 4 + 1 + 4 + 1 + 4 + 3 + 4 + 0 + 441 + 204 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39239648100 + 41375100793104 = 198090^2 + 6432348^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3756502 + ... + 9845810.

It is an arithmetic number, because the mean of its divisors is an integer number (1539642452985).

Almost surely, 241414340441204 is an apocalyptic number.

It is an amenable number.

41414340441204 is an abundant number, since it is smaller than the sum of its proper divisors (69439916173716).

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

41414340441204 is a wasteful number, since it uses less digits than its factorization.

41414340441204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6100449 (or 6100444 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 41414340441204 its reverse (40214404341414), we get a palindrome (81628744782618).

The spelling of 41414340441204 in words is "forty-one trillion, four hundred fourteen billion, three hundred forty million, four hundred forty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 11113 22226 33339 44452 66678 100017 133356 188921 200034 377842 400068 566763 755684 1133526 1700289 2267052 3400578 6089309 6801156 12178618 18267927 24357236 36535854 54803781 73071708 103518253 109607562 207036506 219215124 310554759 414073012 621109518 931664277 1242219036 1863328554 3726657108 67670490917 135340981834 203011472751 270681963668 406022945502 609034418253 812045891004 1150398345589 1218068836506 2300796691178 2436137673012 3451195036767 4601593382356 6902390073534 10353585110301 13804780147068 20707170220602 41414340441204