Search a number
-
+
981144200342041 = 127199327191425649
BaseRepresentation
bin1101111100010110000110111…
…1100010001110101000011001
311202122221110200021111120111021
43133011201233202032220121
52012100031310241421131
613354415231225402441
7413443220633463241
oct33705415742165031
94678843607446437
10981144200342041
11264693a1179779a
129206039b639421
1333160668b99a58
141343d8c00b4b21
157866c2b548e11
hex37c586f88ea19

981144200342041 has 16 divisors (see below), whose sum is σ = 989730482176000. Its totient is φ = 972571727973888.

The previous prime is 981144200342027. The next prime is 981144200342069. The reversal of 981144200342041 is 140243002441189.

It is a cyclic number.

It is not a de Polignac number, because 981144200342041 - 27 = 981144200341913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (981144200342021) 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, 687495985 + ... + 688921633.

It is an arithmetic number, because the mean of its divisors is an integer number (61858155136000).

Almost surely, 2981144200342041 is an apocalyptic number.

It is an amenable number.

981144200342041 is a deficient number, since it is larger than the sum of its proper divisors (8586281833959).

981144200342041 is a wasteful number, since it uses less digits than its factorization.

981144200342041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430488.

The product of its (nonzero) digits is 221184, while the sum is 43.

The spelling of 981144200342041 in words is "nine hundred eighty-one trillion, one hundred forty-four billion, two hundred million, three hundred forty-two thousand, forty-one".

Divisors: 1 127 1993 2719 253111 345313 1425649 5418967 181057423 688208809 2841318457 3876339631 360847444039 492295133137 7725544884583 981144200342041