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34146145211605 = 575318407625451
BaseRepresentation
bin1111100001110010001001…
…10110110001010011010101
311110220100011120101102201021
413300321010312301103111
513433422301133232410
6200342304512201141
710122656211244420
oct760710466612325
9143810146342637
1034146145211605
11a975331869239
1239b5902b391b1
131608c76ca8c4b
1486097a1269b7
153e3346223eda
hex1f0e44db14d5

34146145211605 has 16 divisors (see below), whose sum is σ = 47712565171584. Its totient is φ = 22972716561600.

The previous prime is 34146145211593. The next prime is 34146145211701. The reversal of 34146145211605 is 50611254164143.

It is not a de Polignac number, because 34146145211605 - 25 = 34146145211573 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9203810871 + ... + 9203814580.

It is an arithmetic number, because the mean of its divisors is an integer number (2982035323224).

Almost surely, 234146145211605 is an apocalyptic number.

34146145211605 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34146145211605 is a deficient number, since it is larger than the sum of its proper divisors (13566419959979).

34146145211605 is a wasteful number, since it uses less digits than its factorization.

34146145211605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18407625516.

The product of its (nonzero) digits is 345600, while the sum is 43.

Adding to 34146145211605 its reverse (50611254164143), we get a palindrome (84757399375748).

The spelling of 34146145211605 in words is "thirty-four trillion, one hundred forty-six billion, one hundred forty-five million, two hundred eleven thousand, six hundred five".

Divisors: 1 5 7 35 53 265 371 1855 18407625451 92038127255 128853378157 644266890785 975604148903 4878020744515 6829229042321 34146145211605