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12042001341504 = 263220906252329
BaseRepresentation
bin1010111100111011111100…
…1101100101110001000000
31120122012111210000022201100
42233032333031211301000
53034244004320412004
641340004040334400
72352002006353131
oct257167715456100
946565453008640
1012042001341504
113922a90906392
1214259a1a74400
1369472c298c94
142d8b9bcb3c88
1515d390482739
hexaf3bf365c40

12042001341504 has 42 divisors (see below), whose sum is σ = 34516222596830. Its totient is φ = 4014000446976.

The previous prime is 12042001341481. The next prime is 12042001341593. The reversal of 12042001341504 is 40514310024021.

12042001341504 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 20 + 0 + 134 + 1 + 504 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6344957966400 + 5697043375104 = 2518920^2 + 2386848^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10453125589 + ... + 10453126740.

Almost surely, 212042001341504 is an apocalyptic number.

It is an amenable number.

12042001341504 is an abundant number, since it is smaller than the sum of its proper divisors (22474221255326).

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

12042001341504 is a wasteful number, since it uses less digits than its factorization.

12042001341504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20906252347 (or 20906252334 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 12042001341504 its reverse (40514310024021), we get a palindrome (52556311365525).

The spelling of 12042001341504 in words is "twelve trillion, forty-two billion, one million, three hundred forty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 20906252329 41812504658 62718756987 83625009316 125437513974 167250018632 188156270961 250875027948 334500037264 376312541922 501750055896 669000074528 752625083844 1003500111792 1338000149056 1505250167688 2007000223584 3010500335376 4014000447168 6021000670752 12042001341504