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41141012004 = 22328811297169
BaseRepresentation
bin100110010100001100…
…100000011000100100
310221012012001221201100
4212110030200120210
51133224044341004
630522214400100
72654340555261
oct462414403044
9127165057640
1041141012004
11164a2035274
127b82060030
133b585925b1
141dc3d44268
15110bc6e739
hex994320624

41141012004 has 36 divisors (see below), whose sum is σ = 104113458540. Its totient is φ = 13698094080.

The previous prime is 41141011949. The next prime is 41141012009. The reversal of 41141012004 is 40021014114.

It can be written as a sum of positive squares in 2 ways, for example, as 17006768100 + 24134243904 = 130410^2 + 155352^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (41141012009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 616869 + ... + 680300.

It is an arithmetic number, because the mean of its divisors is an integer number (2892040515).

Almost surely, 241141012004 is an apocalyptic number.

It is an amenable number.

41141012004 is an abundant number, since it is smaller than the sum of its proper divisors (62972446536).

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

41141012004 is a wasteful number, since it uses less digits than its factorization.

41141012004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298060 (or 1298055 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 41141012004 its reverse (40021014114), we get a palindrome (81162026118).

The spelling of 41141012004 in words is "forty-one billion, one hundred forty-one million, twelve thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 881 1762 2643 3524 5286 7929 10572 15858 31716 1297169 2594338 3891507 5188676 7783014 11674521 15566028 23349042 46698084 1142805889 2285611778 3428417667 4571223556 6856835334 10285253001 13713670668 20570506002 41141012004