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34146145211604 = 2236094346691369
BaseRepresentation
bin1111100001110010001001…
…10110110001010011010100
311110220100011120101102201020
413300321010312301103110
513433422301133232404
6200342304512201140
710122656211244416
oct760710466612324
9143810146342636
1034146145211604
11a975331869238
1239b5902b391b0
131608c76ca8c4a
1486097a1269b6
153e3346223ed9
hex1f0e44db14d4

34146145211604 has 24 divisors (see below), whose sum is σ = 79675647891840. Its totient is φ = 11381861394624.

The previous prime is 34146145211593. The next prime is 34146145211701. The reversal of 34146145211604 is 40611254164143.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22614369 + ... + 24077000.

It is an arithmetic number, because the mean of its divisors is an integer number (3319818662160).

Almost surely, 234146145211604 is an apocalyptic number.

It is an amenable number.

34146145211604 is an abundant number, since it is smaller than the sum of its proper divisors (45529502680236).

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

34146145211604 is a wasteful number, since it uses less digits than its factorization.

34146145211604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46752319 (or 46752317 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

Adding to 34146145211604 its reverse (40611254164143), we get a palindrome (74757399375747).

The spelling of 34146145211604 in words is "thirty-four trillion, one hundred forty-six billion, one hundred forty-five million, two hundred eleven thousand, six hundred four".

Divisors: 1 2 3 4 6 12 60943 121886 182829 243772 365658 731316 46691369 93382738 140074107 186765476 280148214 560296428 2845512100967 5691024201934 8536536302901 11382048403868 17073072605802 34146145211604