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41234414312144 = 242736194190669
BaseRepresentation
bin10010110000000101000101…
…00111100001101011010000
312101222222020020020022112102
421120002202213201223100
520401041040030442034
6223410454535015532
711454042140423234
oct1130024247415320
9171888206208472
1041234414312144
111215846499a249
12475b609b0a5a8
131a0150894ba81
14a27a834105c4
154b7905d4597e
hex2580a29e1ad0

41234414312144 has 20 divisors (see below), whose sum is σ = 79894598488740. Its totient is φ = 20616453411840.

The previous prime is 41234414312111. The next prime is 41234414312159. The reversal of 41234414312144 is 44121341443214.

It can be written as a sum of positive squares in 2 ways, for example, as 31923494407744 + 9310919904400 = 5650088^2 + 3051380^2 .

It is a junction number, because it is equal to n+sod(n) for n = 41234414312098 and 41234414312107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46657559 + ... + 47533110.

It is an arithmetic number, because the mean of its divisors is an integer number (3994729924437).

Almost surely, 241234414312144 is an apocalyptic number.

It is an amenable number.

41234414312144 is a deficient number, since it is larger than the sum of its proper divisors (38660184176596).

41234414312144 is a wasteful number, since it uses less digits than its factorization.

41234414312144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94218038 (or 94218032 counting only the distinct ones).

The product of its digits is 147456, while the sum is 38.

Adding to 41234414312144 its reverse (44121341443214), we get a palindrome (85355755755358).

The spelling of 41234414312144 in words is "forty-one trillion, two hundred thirty-four billion, four hundred fourteen million, three hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 27361 54722 109444 218888 437776 94190669 188381338 376762676 753525352 1507050704 2577150894509 5154301789018 10308603578036 20617207156072 41234414312144