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144134522355 = 35174147521563
BaseRepresentation
bin1000011000111100010…
…1100100010111110011
3111210000222112101011210
42012033011210113303
54330141414203410
6150114155011203
713261534140225
oct2061705442763
9453028471153
10144134522355
11561441a8a6a
1223b26439b03
1310790323725
146d9479c415
153b38bba220
hex218f1645f3

144134522355 has 128 divisors (see below), whose sum is σ = 256403460096. Its totient is φ = 68828364800.

The previous prime is 144134522339. The next prime is 144134522369. The reversal of 144134522355 is 553225431441.

144134522355 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 144134522355 - 24 = 144134522339 is a prime.

It is a super-3 number, since 3×1441345223553 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 256011304 + ... + 256011866.

It is an arithmetic number, because the mean of its divisors is an integer number (2003152032).

Almost surely, 2144134522355 is an apocalyptic number.

144134522355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

144134522355 is a deficient number, since it is larger than the sum of its proper divisors (112268937741).

144134522355 is a wasteful number, since it uses less digits than its factorization.

144134522355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197.

The product of its digits is 288000, while the sum is 39.

Adding to 144134522355 its reverse (553225431441), we get a palindrome (697359953796).

The spelling of 144134522355 in words is "one hundred forty-four billion, one hundred thirty-four million, five hundred twenty-two thousand, three hundred fifty-five".

Divisors: 1 3 5 15 17 41 47 51 85 123 141 205 235 255 521 563 615 697 705 799 1563 1689 1927 2091 2397 2605 2815 3485 3995 5781 7815 8445 8857 9571 9635 10455 11985 21361 23083 24487 26461 26571 28713 28905 32759 44285 47855 64083 69249 73461 79383 98277 106805 115415 122435 132305 132855 143565 163795 293323 320415 346245 363137 367305 392411 396915 416279 449837 491385 879969 1003967 1084901 1089411 1177233 1248837 1349511 1466615 1815685 1962055 2081395 2249185 3011901 3254703 4399845 4986491 5019835 5424505 5447055 5886165 6244185 6747555 12026243 13786181 14959473 15059505 16273515 17067439 18443317 24932455 36078729 41358543 51202317 55329951 60131215 68930905 74797365 85337195 92216585 180393645 204446131 206792715 234365077 256011585 276649755 565233421 613338393 703095231 1022230655 1171825385 1695700263 2826167105 3066691965 3515476155 8478501315 9608968157 28826904471 48044840785 144134522355