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11141433001143 = 3329315926928921
BaseRepresentation
bin1010001000100001000100…
…1010000000010010110111
31110110002222121210120002000
42202020101022000102313
52430020123322014033
635410145331350343
72226641044643454
oct242102112002267
943402877716060
1011141433001143
113606067522015
1212bb34b4523b3
1362a82bb4a803
142a736922682b
15144c330dda13
hexa22112804b7

11141433001143 has 128 divisors (see below), whose sum is σ = 17991797760000. Its totient is φ = 6796931097600.

The previous prime is 11141433001129. The next prime is 11141433001219. The reversal of 11141433001143 is 34110033414111.

11141433001143 is a `hidden beast` number, since 1 + 114 + 1 + 433 + 0 + 0 + 114 + 3 = 666.

It is not a de Polignac number, because 11141433001143 - 29 = 11141433000631 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11141433001103) 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, 385222323 + ... + 385251243.

It is an arithmetic number, because the mean of its divisors is an integer number (140560920000).

Almost surely, 211141433001143 is an apocalyptic number.

11141433001143 is a deficient number, since it is larger than the sum of its proper divisors (6850364758857).

11141433001143 is a wasteful number, since it uses less digits than its factorization.

11141433001143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29318 (or 29312 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 11141433001143 its reverse (34110033414111), we get a palindrome (45251466415254).

The spelling of 11141433001143 in words is "eleven trillion, one hundred forty-one billion, four hundred thirty-three million, one thousand, one hundred forty-three".

Divisors: 1 3 9 27 29 31 59 87 93 177 261 269 279 531 783 807 837 899 1593 1711 1829 2421 2697 5133 5487 7263 7801 8091 8339 15399 15871 16461 23403 24273 25017 28921 46197 47613 49383 53041 70209 75051 86763 142839 159123 210627 225153 241831 260289 428517 460259 477369 492001 725493 780867 838709 896551 1380777 1432107 1476003 1706339 2176479 2516127 2689653 4142331 4428009 5119017 6529437 7548381 7779749 8068959 12426993 13284027 14268029 15357051 22645143 23339247 24206877 25999979 42804087 46071153 49483831 52896509 70017741 77999937 128412261 148451493 158689527 210053223 225612721 233999811 241172219 385236783 445354479 459005191 476068581 676838163 701999433 723516657 1336063437 1377015573 1428205743 1533998761 2030514489 2170549971 4131046719 4601996283 6091543467 6511649913 6993994351 12393140157 13311150539 13805988849 14229160921 20981983053 39933451617 41417966547 42687482763 62945949159 119800354851 128062448289 188837847477 359401064553 384187344867 412645666709 1237937000127 3713811000381 11141433001143