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144129921441 = 3111719149151601
BaseRepresentation
bin1000011000111011010…
…0000001000110100001
3111210000122212121220120
42012032310001012201
54330134224441231
6150113512230453
713261450055412
oct2061664010641
9453018777816
10144129921441
1156141646260
1223b2499b429
131078c3a24ac
146d93d21809
153b385abd96
hex218ed011a1

144129921441 has 128 divisors (see below), whose sum is σ = 237178368000. Its totient is φ = 76723200000.

The previous prime is 144129921421. The next prime is 144129921443.

144129921441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 144129921441 - 211 = 144129919393 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144129921393 and 144129921402.

It is not an unprimeable number, because it can be changed into a prime (144129921443) 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, 239816541 + ... + 239817141.

It is an arithmetic number, because the mean of its divisors is an integer number (1852956000).

Almost surely, 2144129921441 is an apocalyptic number.

144129921441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

144129921441 is a deficient number, since it is larger than the sum of its proper divisors (93048446559).

144129921441 is a wasteful number, since it uses less digits than its factorization.

144129921441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951.

The product of its digits is 82944, while the sum is 42.

The spelling of 144129921441 in words is "one hundred forty-four billion, one hundred twenty-nine million, nine hundred twenty-one thousand, four hundred forty-one".

Divisors: 1 3 11 17 19 33 51 57 149 151 187 209 323 447 453 561 601 627 969 1639 1661 1803 2533 2567 2831 2869 3553 4917 4983 6611 7599 7701 8493 8607 10217 10659 11419 19833 22499 27863 28237 30651 31141 31559 34257 48127 48773 67497 83589 84711 89549 90751 93423 94677 112387 125609 144381 146319 194123 247489 268647 272253 337161 376827 382483 427481 529397 536503 582369 742467 985039 998261 1147449 1282443 1522333 1542767 1588191 1609509 1701431 1724269 2135353 2955117 2994783 4207313 4566999 4628301 4702291 5104293 5172807 6406059 7267177 12621939 13521899 14106873 16745663 16970437 18715741 18966959 21801531 28924327 29312573 40565697 50236989 50911311 56147223 56900877 79938947 86772981 87937719 148740889 229872283 239816841 256916081 318167597 322438303 446222667 689616849 770748243 954502791 967314909 2528595113 2826076891 4367573377 7585785339 8478230673 13102720131 48043307147 144129921441