Search a number
-
+
2312126438128 = 2413139130161469
BaseRepresentation
bin100001101001010101011…
…110011001101011110000
322012001000001210202120021
4201221111132121223300
5300340213332010003
64530102021453224
7326021435311423
oct41512536315360
98161001722507
102312126438128
11811627108581
12314132571214
1313a056796c50
147dc9c3239ba
15402250852bd
hex21a55799af0

2312126438128 has 80 divisors (see below), whose sum is σ = 4862862194400. Its totient is φ = 1058626483200.

The previous prime is 2312126438117. The next prime is 2312126438183. The reversal of 2312126438128 is 8218346212132.

2312126438128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37583778 + ... + 37645246.

It is an arithmetic number, because the mean of its divisors is an integer number (60785777430).

Almost surely, 22312126438128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2312126438128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2431431097200).

2312126438128 is an abundant number, since it is smaller than the sum of its proper divisors (2550735756272).

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

2312126438128 is a wasteful number, since it uses less digits than its factorization.

2312126438128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62930 (or 62924 counting only the distinct ones).

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

The spelling of 2312126438128 in words is "two trillion, three hundred twelve billion, one hundred twenty-six million, four hundred thirty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 139 208 278 556 1112 1301 1807 2224 2602 3614 5204 7228 10408 14456 16913 20816 28912 33826 61469 67652 122938 135304 180839 245876 270608 361678 491752 723356 799097 983504 1446712 1598194 2350907 2893424 3196388 4701814 6392776 8544191 9403628 12785552 17088382 18807256 34176764 37614512 68353528 79971169 111074483 136707056 159942338 222148966 319884676 444297932 639769352 888595864 1039625197 1279538704 1777191728 2079250394 4158500788 8317001576 11115992491 16634003152 22231984982 44463969964 88927939928 144507902383 177855879856 289015804766 578031609532 1156063219064 2312126438128