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14044334311040 = 275112012399137
BaseRepresentation
bin1100110001011111001110…
…0011101100011010000000
31211201121212210202022020112
43030113303203230122000
53320100244040423130
645511513401130452
72646445460646515
oct314276343543200
954647783668215
1014044334311040
114525194646770
1216a9a77189a28
137ab4b4c79ca7
14367a6c53530c
151954d3195495
hexcc5f38ec680

14044334311040 has 128 divisors (see below), whose sum is σ = 36629175136320. Its totient is φ = 5106725355520.

The previous prime is 14044334311009. The next prime is 14044334311099. The reversal of 14044334311040 is 4011343344041.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 14044334310988 and 14044334311006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141616352 + ... + 141715488.

Almost surely, 214044334311040 is an apocalyptic number.

14044334311040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14044334311040 is an abundant number, since it is smaller than the sum of its proper divisors (22584840825280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14044334311040 is a wasteful number, since it uses less digits than its factorization.

14044334311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119290 (or 119278 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 14044334311040 its reverse (4011343344041), we get a palindrome (18055677655081).

The spelling of 14044334311040 in words is "fourteen trillion, forty-four billion, three hundred thirty-four million, three hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 20123 40246 80492 99137 100615 160984 198274 201230 221353 321968 396548 402460 442706 495685 643936 793096 804920 885412 991370 1090507 1106765 1287872 1586192 1609840 1770824 1982740 2181014 2213530 2575744 3172384 3219680 3541648 3965480 4362028 4427060 5452535 6344768 6439360 7083296 7930960 8724056 8854120 10905070 12689536 12878720 14166592 15861920 17448112 17708240 21810140 28333184 31723840 34896224 35416480 43620280 63447680 69792448 70832960 87240560 139584896 141665920 174481120 348962240 697924480 1994933851 3989867702 7979735404 9974669255 15959470808 19949338510 21944272361 31918941616 39898677020 43888544722 63837883232 79797354040 87777089444 109721361805 127675766464 159594708080 175554178888 219442723610 255351532928 319189416160 351108357776 438885447220 638378832320 702216715552 877770894440 1276757664640 1404433431104 1755541788880 2808866862208 3511083577760 7022167155520 14044334311040