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21414322341412 = 227111335391511227
BaseRepresentation
bin1001101111001111010010…
…00100111000011000100100
32210211012002221110121222221
410313213221010320120210
510301323013004411122
6113313334234202124
74340063604410230
oct467475104703044
983735087417887
1021414322341412
116906843767420
12249a2a5283344
13bc449221a630
1454065ca8b5c0
1527208059c6c7
hex1379e9138624

21414322341412 has 96 divisors (see below), whose sum is σ = 50330420904960. Its totient is φ = 7699273326720.

The previous prime is 21414322341409. The next prime is 21414322341421.

21414322341412 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13414543 + ... + 14925769.

It is an arithmetic number, because the mean of its divisors is an integer number (524275217760).

Almost surely, 221414322341412 is an apocalyptic number.

21414322341412 is a gapful number since it is divisible by the number (22) 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 21414322341412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25165210452480).

21414322341412 is an abundant number, since it is smaller than the sum of its proper divisors (28916098563548).

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

21414322341412 is a wasteful number, since it uses less digits than its factorization.

21414322341412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514801 (or 1514799 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

It can be divided in two parts, 2141432 and 2341412, that added together give a palindrome (4482844).

The spelling of 21414322341412 in words is "twenty-one trillion, four hundred fourteen billion, three hundred twenty-two million, three hundred forty-one thousand, four hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 3539 4004 7078 14156 24773 38929 46007 49546 77858 92014 99092 155716 184028 272503 322049 506077 545006 644098 1012154 1090012 1288196 1511227 2024308 3022454 3542539 6044908 7085078 10578589 14170156 16623497 19645951 21157178 33246994 39291902 42314356 66493988 78583804 116364479 137521657 216105461 232728958 275043314 432210922 465457916 550086628 864421844 1512738227 3025476454 5348232353 6050952908 10696464706 21392929412 37437626471 58830555883 69527020589 74875252942 117661111766 139054041178 149750505884 235322223532 278108082356 411813891181 486689144123 764797226479 823627782362 973378288246 1529594452958 1647255564724 1946756576492 3059188905916 5353580585353 10707161170706 21414322341412