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323040222142112 = 2519619833885803
BaseRepresentation
bin100100101110011011010100…
…1101100000101111010100000
31120100210100021111201220011002
41021130312221230011322200
5314320142333332021422
63103014343534011132
7125020612564364366
oct11134665154057240
91510710244656132
10323040222142112
1193a266528379a2
1230293438946aa8
1310b33740308727
1459ab331861636
15275303e1a0692
hex125cda9b05ea0

323040222142112 has 96 divisors (see below), whose sum is σ = 680503049392320. Its totient is φ = 150495066961920.

The previous prime is 323040222142109. The next prime is 323040222142117. The reversal of 323040222142112 is 211241222040323.

It is not an unprimeable number, because it can be changed into a prime (323040222142117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364243403 + ... + 365129205.

It is an arithmetic number, because the mean of its divisors is an integer number (7088573431170).

Almost surely, 2323040222142112 is an apocalyptic number.

323040222142112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323040222142112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340251524696160).

323040222142112 is an abundant number, since it is smaller than the sum of its proper divisors (357462827250208).

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

323040222142112 is a wasteful number, since it uses less digits than its factorization.

323040222142112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895726 (or 895718 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 323040222142112 its reverse (211241222040323), we get a palindrome (534281444182435).

The spelling of 323040222142112 in words is "three hundred twenty-three trillion, forty billion, two hundred twenty-two million, one hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 61 76 122 152 244 304 488 608 976 1159 1952 2318 4636 9272 9833 18544 19666 37088 39332 78664 157328 186827 314656 373654 599813 747308 885803 1199626 1494616 1771606 2399252 2989232 3543212 4798504 5978464 7086424 9597008 11396447 14172848 16830257 19194016 22792894 28345696 33660514 45585788 54033983 67321028 91171576 108067966 134642056 182343152 216135932 269284112 364686304 432271864 538568224 864543728 1026645677 1729087456 2053291354 4106582708 8213165416 8710100899 16426330832 17420201798 32852661664 34840403596 69680807192 139361614384 165491917081 278723228768 330983834162 531316154839 661967668324 1062632309678 1323935336648 2125264619356 2647870673296 4250529238712 5295741346592 8501058477424 10095006941941 17002116954848 20190013883882 40380027767764 80760055535528 161520111071056 323040222142112