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41123115144 = 23322324832799
BaseRepresentation
bin100110010011001000…
…001111000010001000
310221010221101200211200
4212103020033002020
51133210004141034
630520335024200
72654032465656
oct462310170210
9127127350750
1041123115144
1116492a21081
127b7806b060
133b54967537
141dc1805dd6
15110a3d6a99
hex99320f088

41123115144 has 48 divisors (see below), whose sum is σ = 116217504000. Its totient is φ = 13111717344.

The previous prime is 41123115133. The next prime is 41123115157. The reversal of 41123115144 is 44151132114.

It is a happy number.

41123115144 is a `hidden beast` number, since 4 + 112 + 31 + 1 + 514 + 4 = 666.

It is a super-2 number, since 2×411231151442 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12414744 + ... + 12418055.

It is an arithmetic number, because the mean of its divisors is an integer number (2421198000).

Almost surely, 241123115144 is an apocalyptic number.

It is an amenable number.

41123115144 is an abundant number, since it is smaller than the sum of its proper divisors (75094388856).

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

41123115144 is a wasteful number, since it uses less digits than its factorization.

41123115144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24832834 (or 24832827 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

Adding to 41123115144 its reverse (44151132114), we get a palindrome (85274247258).

The spelling of 41123115144 in words is "forty-one billion, one hundred twenty-three million, one hundred fifteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 24832799 49665598 74498397 99331196 148996794 198662392 223495191 297993588 446990382 571154377 595987176 893980764 1142308754 1713463131 1787961528 2284617508 3426926262 4569235016 5140389393 6853852524 10280778786 13707705048 20561557572 41123115144