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144110441211 = 311232912795119
BaseRepresentation
bin1000011000110110100…
…1101101001011111011
3111202222022012221001120
42012031221231023323
54330114233104321
6150111534520323
713261122352632
oct2061551551373
9452868187046
10144110441211
11561316504a0
1223b1a3660a3
1310788341829
146d914d0519
153b36a0eec6
hex218da6d2fb

144110441211 has 64 divisors (see below), whose sum is σ = 226492416000. Its totient is φ = 80582705280.

The previous prime is 144110441201. The next prime is 144110441219. The reversal of 144110441211 is 112144011441.

It is not a de Polignac number, because 144110441211 - 211 = 144110439163 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144110441219) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28149510 + ... + 28154628.

It is an arithmetic number, because the mean of its divisors is an integer number (3538944000).

Almost surely, 2144110441211 is an apocalyptic number.

144110441211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

144110441211 is a deficient number, since it is larger than the sum of its proper divisors (82381974789).

144110441211 is a wasteful number, since it uses less digits than its factorization.

144110441211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6464.

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 144110441211 its reverse (112144011441), we get a palindrome (256254452652).

The spelling of 144110441211 in words is "one hundred forty-four billion, one hundred ten million, four hundred forty-one thousand, two hundred eleven".

Divisors: 1 3 11 23 29 33 69 87 253 319 667 759 957 1279 2001 3837 5119 7337 14069 15357 22011 29417 37091 42207 56309 88251 111273 117737 148451 168927 323587 353211 408001 445353 853093 970761 1224003 1295107 1632961 2559279 3414373 3885321 4898883 6547201 9384023 10243119 19641603 28152069 37558103 72019211 112674309 150585623 189868829 216057633 451756869 569606487 1656441853 2088557119 4366983067 4969325559 6265671357 13100949201 48036813737 144110441211