Search a number
-
+
89141040131 = 112132310723027
BaseRepresentation
bin101001100000100111…
…0000101010000000011
322112002101121000200212
41103001032011100003
52430030101241011
6104541213504335
76303666224243
oct1230116052003
9275071530625
1089141040131
113489387a900
12153391a20ab
138537b979c0
144458bc5b23
1524bac5a08b
hex14c1385403

89141040131 has 48 divisors (see below), whose sum is σ = 111140128512. Its totient is φ = 70879554240.

The previous prime is 89141040119. The next prime is 89141040139. The reversal of 89141040131 is 13104014198.

It is a happy number.

It is not a de Polignac number, because 89141040131 - 222 = 89136845827 is a prime.

It is a super-2 number, since 2×891410401312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (89141040139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3859640 + ... + 3882666.

It is an arithmetic number, because the mean of its divisors is an integer number (2315419344).

Almost surely, 289141040131 is an apocalyptic number.

89141040131 is a deficient number, since it is larger than the sum of its proper divisors (21999088381).

89141040131 is a wasteful number, since it uses less digits than its factorization.

89141040131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23192 (or 23181 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The spelling of 89141040131 in words is "eighty-nine billion, one hundred forty-one million, forty thousand, one hundred thirty-one".

Divisors: 1 11 13 23 107 121 143 253 299 1177 1391 1573 2461 2783 3289 12947 15301 23027 27071 31993 36179 168311 253297 297781 299351 351923 529621 2463889 2786267 3292861 3871153 5825831 6885073 27102779 32030557 36221471 56669447 64084141 75735803 298130569 352336127 623363917 736702811 833093833 3875697397 6857003087 8103730921 89141040131