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11144111422041 = 33132361137165181
BaseRepresentation
bin1010001000101011000011…
…0011010111101001011001
31110110100220021201102211000
42202022300303113221121
52430041120011001131
635411311211255213
72230064320102653
oct242126063275131
943410807642730
1011144111422041
11360721140a304
1212bb97844a509
1362ab67a1a150
142a7540c3d6d3
15144d3d30ece6
hexa22b0cd7a59

11144111422041 has 128 divisors (see below), whose sum is σ = 18994714260480. Its totient is φ = 6405072537600.

The previous prime is 11144111422039. The next prime is 11144111422063. The reversal of 11144111422041 is 14022411144111.

It is a happy number.

11144111422041 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 411 + 1 + 42 + 204 + 1 = 666.

It is not a de Polignac number, because 11144111422041 - 21 = 11144111422039 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 11144111421996 and 11144111422014.

It is not an unprimeable number, because it can be changed into a prime (11144111422841) 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, 67383471 + ... + 67548651.

It is an arithmetic number, because the mean of its divisors is an integer number (148396205160).

Almost surely, 211144111422041 is an apocalyptic number.

It is an amenable number.

11144111422041 is a deficient number, since it is larger than the sum of its proper divisors (7850602838439).

11144111422041 is a wasteful number, since it uses less digits than its factorization.

11144111422041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165424 (or 165418 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

Adding to 11144111422041 its reverse (14022411144111), we get a palindrome (25166522566152).

The spelling of 11144111422041 in words is "eleven trillion, one hundred forty-four billion, one hundred eleven million, four hundred twenty-two thousand, forty-one".

Divisors: 1 3 9 13 23 27 39 61 69 117 137 183 207 299 351 411 549 621 793 897 1233 1403 1647 1781 2379 2691 3151 3699 4209 5343 7137 8073 8357 9453 12627 16029 18239 21411 25071 28359 37881 40963 48087 54717 75213 85077 108641 122889 164151 165181 192211 225639 325923 368667 492453 495543 576633 977769 1106001 1486629 1729899 2147353 2498743 2933307 3799163 4459887 5189697 6442059 7496229 10076041 11397489 19326177 22488687 22629797 30228123 34192467 49389119 57978531 67466061 67889391 90684369 102577401 130988533 148167357 203668173 231748943 272053107 294187361 392965599 444502071 520485331 611004519 695246829 882562083 1178896797 1333506213 1380417617 1561455993 2085740487 2647686249 3012736259 3536690391 4141252851 4684367979 6257221461 6766309303 7943058747 9038208777 12423758553 14053103937 17945429021 20298927909 27114626331 31749605191 37271275659 53836287063 60896783727 81343878993 95248815573 161508861189 182690351181 285746446719 412744867483 484526583567 857239340157 1238234602449 3714703807347 11144111422041