Search a number
-
+
32143559081841 = 32292651672
BaseRepresentation
bin1110100111100000000010…
…11010111011111101110001
311012210220010220021120122100
413103300001122323331301
513203120002111104331
6152210314105331013
76525203234064414
oct723600132737561
9135726126246570
1032143559081841
11a273009136929
123731778a96a69
1314c2180a19c9c
147d1a84005b7b
153ab1db1a5ae6
hex1d3c016bbf71

32143559081841 has 27 divisors (see below), whose sum is σ = 48086551014411. Its totient is φ = 20689789501584.

The previous prime is 32143559081839. The next prime is 32143559081857. The reversal of 32143559081841 is 14818095534123.

The square root of 32143559081841 is 5669529.

It is a perfect power (a square), and thus also a powerful number.

32143559081841 is a `hidden beast` number, since 3 + 2 + 1 + 4 + 3 + 5 + 590 + 8 + 1 + 8 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16855302681441 + 15288256400400 = 4105521^2 + 3910020^2 .

It is not a de Polignac number, because 32143559081841 - 21 = 32143559081839 is a prime.

It is not an unprimeable number, because it can be changed into a prime (32143559081041) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 493216440 + ... + 493281606.

Almost surely, 232143559081841 is an apocalyptic number.

32143559081841 is the 5669529-th square number.

32143559081841 is the 2834765-th centered octagonal number.

It is an amenable number.

32143559081841 is a deficient number, since it is larger than the sum of its proper divisors (15942991932570).

32143559081841 is an frugal number, since it uses more digits than its factorization.

32143559081841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130398 (or 65199 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 32143559081841 in words is "thirty-two trillion, one hundred forty-three billion, five hundred fifty-nine million, eighty-one thousand, eight hundred forty-one".

Divisors: 1 3 9 29 87 261 841 2523 7569 65167 195501 586503 1889843 5669529 17008587 54805447 164416341 493249023 4246737889 12740213667 38220641001 123155398781 369466196343 1108398589029 3571506564649 10714519693947 32143559081841