Search a number
-
+
105238423835214 = 2373337712968469
BaseRepresentation
bin10111111011011010111010…
…110111101001001001001110
3111210121200202200221102002020
4113323122322313221021032
5102243211243000211324
61011453510421311010
731111140151103535
oct2773327267511116
9453550680842066
10105238423835214
1130594401770a4a
12b977ab3265466
134694c2cb9cb37
141bdb7d179931c
15c2775d8aa679
hex5fb6bade924e

105238423835214 has 32 divisors (see below), whose sum is σ = 213993208459680. Its totient is φ = 34496266355712.

The previous prime is 105238423835179. The next prime is 105238423835219. The reversal of 105238423835214 is 412538324832501.

It is a super-2 number, since 2×1052384238352142 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105238423835219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 356336629 + ... + 356631840.

It is an arithmetic number, because the mean of its divisors is an integer number (6687287764365).

Almost surely, 2105238423835214 is an apocalyptic number.

105238423835214 is an abundant number, since it is smaller than the sum of its proper divisors (108754784624466).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105238423835214 is a wasteful number, since it uses less digits than its factorization.

105238423835214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712968884.

The product of its (nonzero) digits is 5529600, while the sum is 51.

The spelling of 105238423835214 in words is "one hundred five trillion, two hundred thirty-eight billion, four hundred twenty-three million, eight hundred thirty-five thousand, two hundred fourteen".

Divisors: 1 2 3 6 73 146 219 337 438 674 1011 2022 24601 49202 73803 147606 712968469 1425936938 2138905407 4277810814 52046698237 104093396474 156140094711 240270374053 312280189422 480540748106 720811122159 1441622244318 17539737305869 35079474611738 52619211917607 105238423835214