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34105141005 = 35131729354763
BaseRepresentation
bin11111110000110100…
…110010011100001101
310021000211211200011120
4133300310302130031
51024321404003010
623400115311153
72315104625655
oct376064623415
9107024750146
1034105141005
1113511510251
1267398ab4b9
1332a6a0a310
14191772b365
15d4921be70
hex7f0d3270d

34105141005 has 64 divisors (see below), whose sum is σ = 64368380160. Its totient is φ = 15257604096.

The previous prime is 34105140989. The next prime is 34105141033. The reversal of 34105141005 is 50014150143.

It is a happy number.

It is not a de Polignac number, because 34105141005 - 24 = 34105140989 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81247 + ... + 273516.

It is an arithmetic number, because the mean of its divisors is an integer number (1005755940).

Almost surely, 234105141005 is an apocalyptic number.

It is an amenable number.

34105141005 is a deficient number, since it is larger than the sum of its proper divisors (30263239155).

34105141005 is a wasteful number, since it uses less digits than its factorization.

34105141005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354830.

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 34105141005 its reverse (50014150143), we get a palindrome (84119291148).

It can be divided in two parts, 3410 and 5141005, that added together give a palindrome (5144415).

The spelling of 34105141005 in words is "thirty-four billion, one hundred five million, one hundred forty-one thousand, five".

Divisors: 1 3 5 13 15 17 29 39 51 65 85 87 145 195 221 255 377 435 493 663 1105 1131 1479 1885 2465 3315 5655 6409 7395 19227 32045 96135 354763 1064289 1773815 4611919 5321445 6030971 10288127 13835757 18092913 23059595 30154855 30864381 51440635 69178785 78402623 90464565 133745651 154321905 174898159 235207869 392013115 401236953 524694477 668728255 874490795 1176039345 2006184765 2273676067 2623472385 6821028201 11368380335 34105141005