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41129124144 = 2434337197569
BaseRepresentation
bin100110010011011111…
…001010000100110000
310221011100200222122020
4212103133022010300
51133213023433034
630521111511440
72654134533633
oct462337120460
9127140628566
1041129124144
1116496355799
127b7a088580
133b55c8c664
141dc252bc1a
15110abc2249
hex9937ca130

41129124144 has 40 divisors (see below), whose sum is σ = 106275273840. Its totient is φ = 13706477568.

The previous prime is 41129124143. The next prime is 41129124161. The reversal of 41129124144 is 44142192114.

It is a super-3 number, since 3×411291241443 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (41129124143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109392 + ... + 306960.

It is an arithmetic number, because the mean of its divisors is an integer number (2656881846).

Almost surely, 241129124144 is an apocalyptic number.

It is an amenable number.

41129124144 is an abundant number, since it is smaller than the sum of its proper divisors (65146149696).

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

41129124144 is a wasteful number, since it uses less digits than its factorization.

41129124144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201917 (or 201911 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The spelling of 41129124144 in words is "forty-one billion, one hundred twenty-nine million, one hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 4337 8674 13011 17348 26022 34696 52044 69392 104088 197569 208176 395138 592707 790276 1185414 1580552 2370828 3161104 4741656 9483312 856856753 1713713506 2570570259 3427427012 5141140518 6854854024 10282281036 13709708048 20564562072 41129124144