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144311304031323 = 311132341675324227
BaseRepresentation
bin100000110100000000011000…
…000000111000110001011011
3200220222000200220101120002020
4200310000120000320301123
5122403344022313000243
61230531410422505523
742253101433640232
oct4064003000706133
9626860626346066
10144311304031323
1141a89097a35160
12142285b78952a3
13626a661242060
14278c9c0b81b19
1511a3d0524d283
hex834018038c5b

144311304031323 has 128 divisors (see below), whose sum is σ = 245242290069504. Its totient is φ = 74215451059200.

The previous prime is 144311304031313. The next prime is 144311304031327. The reversal of 144311304031323 is 323130403113441.

It is not a de Polignac number, because 144311304031323 - 26 = 144311304031259 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (144311304031327) 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, 24442536 + ... + 29766762.

It is an arithmetic number, because the mean of its divisors is an integer number (1915955391168).

Almost surely, 2144311304031323 is an apocalyptic number.

144311304031323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

144311304031323 is a deficient number, since it is larger than the sum of its proper divisors (100930986038181).

144311304031323 is a wasteful number, since it uses less digits than its factorization.

144311304031323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5324385.

The product of its (nonzero) digits is 31104, while the sum is 33.

Adding to 144311304031323 its reverse (323130403113441), we get a palindrome (467441707144764).

The spelling of 144311304031323 in words is "one hundred forty-four trillion, three hundred eleven billion, three hundred four million, thirty-one thousand, three hundred twenty-three".

Divisors: 1 3 11 13 23 33 39 41 67 69 123 143 201 253 299 429 451 533 737 759 871 897 943 1353 1541 1599 2211 2613 2747 2829 3289 4623 5863 8241 9581 9867 10373 12259 16951 17589 20033 28743 30217 31119 35711 36777 50853 60099 63181 90651 107133 134849 189543 220363 392821 404547 661089 694991 821353 1178463 2084973 2464059 5324227 9034883 15972681 27104649 58566497 69214951 122457221 175699491 207644853 218293307 356723209 367371663 654879921 761364461 1070169627 1347029431 1591943873 2284093383 2401226377 2837812991 3923955299 4041088293 4637401717 4775831619 5020746061 7203679131 8204633807 8513438973 11771865897 13912205151 14625651569 15062238183 17511382603 24613901421 31215942901 43876954707 51011418887 52534147809 55228206671 65269698793 90250971877 93647828703 106660239491 153034256661 160882167259 165684620013 190133470397 195809096379 270752915631 319980718473 336389986087 482646501777 570400411191 717966686723 1009169958261 1173262634401 2091468174367 2153900060169 3519787903203 3700289846957 4373069819131 6274404523101 11100869540871 13119209457393 48103768010441 144311304031323