Search a number
-
+
34057065247141 = 232776478262193
BaseRepresentation
bin1111011111001100001110…
…10001101011000110100101
311110120211020102201101002011
413233212013101223012211
513430442332200402031
6200233333315314221
710113353553114256
oct757460721530645
9143524212641064
1034057065247141
11a94057a5144a2
1239a05a22ab971
13160074b9769c1
1485a5294bcb2d
153e0d80a306b1
hex1ef98746b1a5

34057065247141 has 16 divisors (see below), whose sum is σ = 35721232222464. Its totient is φ = 32408547266304.

The previous prime is 34057065247099. The next prime is 34057065247147. The reversal of 34057065247141 is 14174256075043.

It is not a de Polignac number, because 34057065247141 - 217 = 34057065116069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34057065247147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9060 + ... + 8253133.

It is an arithmetic number, because the mean of its divisors is an integer number (2232577013904).

Almost surely, 234057065247141 is an apocalyptic number.

It is an amenable number.

34057065247141 is a deficient number, since it is larger than the sum of its proper divisors (1664166975323).

34057065247141 is a wasteful number, since it uses less digits than its factorization.

34057065247141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8263140.

The product of its (nonzero) digits is 2822400, while the sum is 49.

The spelling of 34057065247141 in words is "thirty-four trillion, fifty-seven billion, sixty-five million, two hundred forty-seven thousand, one hundred forty-one".

Divisors: 1 23 277 647 6371 14881 179219 4122037 8262193 190030439 2288627461 5345638871 52638431603 122949694033 1480741967267 34057065247141