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34132141105451 = 175373518938487
BaseRepresentation
bin1111100001011000000100…
…01001010110000100101011
311110212000000121012010112222
413300230002021112010223
513433210111110333301
6200332031131424255
710121652163304534
oct760540211260453
9143760017163488
1034132141105451
11a96a3a5915a94
1239b3054bb508b
1316078548900bc
1486000c2a168b
153e2cc6a7e31b
hex1f0b0225612b

34132141105451 has 16 divisors (see below), whose sum is σ = 37326207564864. Its totient is φ = 31086491065344.

The previous prime is 34132141105399. The next prime is 34132141105481. The reversal of 34132141105451 is 15450114123143.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34132141105451 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34132141105481) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 259403471 + ... + 259535016.

It is an arithmetic number, because the mean of its divisors is an integer number (2332887972804).

Almost surely, 234132141105451 is an apocalyptic number.

34132141105451 is a deficient number, since it is larger than the sum of its proper divisors (3194066459413).

34132141105451 is a wasteful number, since it uses less digits than its factorization.

34132141105451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518938630.

The product of its (nonzero) digits is 28800, while the sum is 35.

Adding to 34132141105451 its reverse (15450114123143), we get a palindrome (49582255228594).

The spelling of 34132141105451 in words is "thirty-four trillion, one hundred thirty-two billion, one hundred forty-one million, one hundred five thousand, four hundred fifty-one".

Divisors: 1 17 53 73 901 1241 3869 65773 518938487 8821954279 27503739811 37882509551 467563576787 644002662367 2007773006203 34132141105451