Search a number
-
+
14222351413221 = 3737431992299341
BaseRepresentation
bin1100111011110110011000…
…1101000010111111100101
31212100122101010100002001020
43032331212031002333211
53331004333430210341
650125354045321353
72665350061234440
oct316754615027745
955318333302036
1014222351413221
114593735662416
121718478866259
137c2214b54603
14372518c48657
15199e51768566
hexcef66342fe5

14222351413221 has 128 divisors (see below), whose sum is σ = 22992380928000. Its totient is φ = 7650326154240.

The previous prime is 14222351413201. The next prime is 14222351413223. The reversal of 14222351413221 is 12231415322241.

It is not a de Polignac number, because 14222351413221 - 26 = 14222351413157 is a prime.

It is a super-2 number, since 2×142223514132212 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14222351413223) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1522568011 + ... + 1522577351.

It is an arithmetic number, because the mean of its divisors is an integer number (179627976000).

Almost surely, 214222351413221 is an apocalyptic number.

It is an amenable number.

14222351413221 is a deficient number, since it is larger than the sum of its proper divisors (8770029514779).

14222351413221 is a wasteful number, since it uses less digits than its factorization.

14222351413221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9859.

The product of its digits is 23040, while the sum is 33.

Adding to 14222351413221 its reverse (12231415322241), we get a palindrome (26453766735462).

The spelling of 14222351413221 in words is "fourteen trillion, two hundred twenty-two billion, three hundred fifty-one million, four hundred thirteen thousand, two hundred twenty-one".

Divisors: 1 3 7 21 37 43 111 129 199 229 259 301 597 687 777 903 1393 1591 1603 4179 4773 4809 7363 8473 8557 9341 9847 11137 22089 25419 25671 28023 29541 33411 45571 51541 59311 59899 65387 68929 136713 154623 177933 179697 196161 206787 316609 318997 345617 364339 401663 949827 956991 1036851 1093017 1204989 1686127 1858859 1959553 2139089 2216263 2419319 2550373 2811641 5058381 5576577 5878659 6417267 6648789 7257957 7651119 8434923 11802889 13012013 13716871 14861531 14973623 35408667 39036039 41150613 44584593 44920869 68777783 72503461 79146293 79930937 91980827 104030717 206333349 217510383 237438879 239792811 275942481 312092151 425678711 481444481 507524227 554024051 559516559 643865789 1277036133 1444333443 1522572681 1662072153 1678549677 1931597367 2957444669 2979750977 3403290599 8872334007 8939252931 10209871797 15750112307 18304184573 20702112683 23823034193 47250336921 54912553719 62106338049 71469102579 110250786149 128129292011 330752358447 384387876033 677254829201 2031764487603 4740783804407 14222351413221