Search a number
-
+
144301200041422 = 26121031273594129
BaseRepresentation
bin100000110011110110111101…
…110001001110010111001110
3200220221001121201221200122001
4200303312331301032113032
5122403212324202311142
61230523020043142514
742252263154304564
oct4063667561162716
9626831551850561
10144301200041422
1141a84882553a86
1214226657b14a3a
136269710b44cc8
14278c302cada34
1511a391319d5b7
hex833dbdc4e5ce

144301200041422 has 96 divisors (see below), whose sum is σ = 224622603878400. Its totient is φ = 69514358215680.

The previous prime is 144301200041381. The next prime is 144301200041423. The reversal of 144301200041422 is 224140002103441.

It is a super-2 number, since 2×1443012000414222 (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 (144301200041423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34948217854 + ... + 34948221982.

It is an arithmetic number, because the mean of its divisors is an integer number (2339818790400).

Almost surely, 2144301200041422 is an apocalyptic number.

144301200041422 is a deficient number, since it is larger than the sum of its proper divisors (80321403836978).

144301200041422 is a wasteful number, since it uses less digits than its factorization.

144301200041422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4842 (or 4781 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 144301200041422 its reverse (224140002103441), we get a palindrome (368441202144863).

The spelling of 144301200041422 in words is "one hundred forty-four trillion, three hundred one billion, two hundred million, forty-one thousand, four hundred twenty-two".

Divisors: 1 2 61 103 122 127 206 254 359 718 3721 4129 6283 7442 7747 8258 12566 13081 15494 21899 26162 36977 43798 45593 73954 91186 251869 383263 425287 472567 503738 524383 766526 797941 850574 945134 1048766 1335839 1482311 1595882 2255597 2671678 2781173 2964622 4511194 4696079 5562346 9392158 15364009 25942507 30728018 31987363 48674401 51885014 54011449 63974726 90420971 97348802 108022898 137591417 152678033 169651553 180841942 188253497 275182834 286460819 305356066 339303106 376506994 572921638 1582492927 1951229143 3164985854 3294698389 3902458286 5515679231 6589396778 9313360013 11031358462 11483463317 17474109959 18626720026 19390110191 22966926634 34948219918 38780220382 200976601729 401953203458 568114960793 700491262337 1136229921586 1182796721651 1400982524674 2365593443302 72150600020711 144301200041422