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41082810144 = 253597253321
BaseRepresentation
bin100110010000101110…
…011110111100100000
310221001010112222202220
4212100232132330200
51133114144411034
630512335111040
72653033060455
oct462056367440
9127033488686
1041082810144
11164721a2362
127b66672480
133b494c4c1c
141dba31382c
151106ac4749
hex990b9ef20

41082810144 has 48 divisors (see below), whose sum is σ = 109670228640. Its totient is φ = 13462161920.

The previous prime is 41082810137. The next prime is 41082810149. The reversal of 41082810144 is 44101828014.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (41082810149) 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 7 ways as a sum of consecutive naturals, for example, 3620997 + ... + 3632324.

It is an arithmetic number, because the mean of its divisors is an integer number (2284796430).

Almost surely, 241082810144 is an apocalyptic number.

It is an amenable number.

41082810144 is an abundant number, since it is smaller than the sum of its proper divisors (68587418496).

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

41082810144 is a wasteful number, since it uses less digits than its factorization.

41082810144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7253393 (or 7253385 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The spelling of 41082810144 in words is "forty-one billion, eighty-two million, eight hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 944 1416 1888 2832 5664 7253321 14506642 21759963 29013284 43519926 58026568 87039852 116053136 174079704 232106272 348159408 427945939 696318816 855891878 1283837817 1711783756 2567675634 3423567512 5135351268 6847135024 10270702536 13694270048 20541405072 41082810144