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34142515005 = 3559733471523
BaseRepresentation
bin11111110011000011…
…010110111100111101
310021010110011110122210
4133303003112330331
51024410440440010
623403532331033
72316040406034
oct376303267475
9107113143583
1034142515005
1113530617955
12674a313a79
1332b1694801
14191c69971b
15d4c650b20
hex7f30d6f3d

34142515005 has 64 divisors (see below), whose sum is σ = 56514309120. Its totient is φ = 17593053696.

The previous prime is 34142514997. The next prime is 34142515009. The reversal of 34142515005 is 50051524143.

It is not a de Polignac number, because 34142515005 - 23 = 34142514997 is a prime.

It is a super-2 number, since 2×341425150052 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34142515009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22417174 + ... + 22418696.

It is an arithmetic number, because the mean of its divisors is an integer number (883036080).

Almost surely, 234142515005 is an apocalyptic number.

It is an amenable number.

34142515005 is a deficient number, since it is larger than the sum of its proper divisors (22371794115).

34142515005 is a wasteful number, since it uses less digits than its factorization.

34142515005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010.

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 34142515005 in words is "thirty-four billion, one hundred forty-two million, five hundred fifteen thousand, five".

Divisors: 1 3 5 15 59 73 177 219 295 347 365 885 1041 1095 1523 1735 4307 4569 5205 7615 12921 20473 21535 22845 25331 61419 64605 75993 89857 102365 111179 126655 269571 307095 333537 379965 449285 528481 555895 1347855 1494529 1585443 1667685 2642405 4483587 6559561 7472645 7927215 19678683 22417935 31180379 32797805 38579113 93541137 98393415 115737339 155901895 192895565 467705685 578686695 2276167667 6828503001 11380838335 34142515005