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14042241444 = 22372115414013
BaseRepresentation
bin11010001001111101…
…11001100110100100
31100020121221202221110
431010332321212210
5212224303211234
610241221545020
71004660040300
oct150476714644
940217852843
1014042241444
115a5652a920
12287a875170
13142a2aba0a
14972d50d00
15572bc91e9
hex344fb99a4

14042241444 has 144 divisors (see below), whose sum is σ = 41666861376. Its totient is φ = 3639686400.

The previous prime is 14042241401. The next prime is 14042241469. The reversal of 14042241444 is 44414224041.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3497182 + ... + 3501194.

It is an arithmetic number, because the mean of its divisors is an integer number (289353204).

Almost surely, 214042241444 is an apocalyptic number.

14042241444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14042241444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20833430688).

14042241444 is an abundant number, since it is smaller than the sum of its proper divisors (27624619932).

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

14042241444 is a wasteful number, since it uses less digits than its factorization.

14042241444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4586 (or 4577 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 14042241444 its reverse (44414224041), we get a palindrome (58456465485).

The spelling of 14042241444 in words is "fourteen billion, forty-two million, two hundred forty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 462 539 541 588 924 1078 1082 1617 1623 2156 2164 3234 3246 3787 4013 5951 6468 6492 7574 8026 11361 11902 12039 15148 16052 17853 22722 23804 24078 26509 28091 35706 41657 44143 45444 48156 53018 56182 71412 79527 83314 84273 88286 106036 112364 124971 132429 159054 166628 168546 176572 196637 249942 264858 291599 309001 318108 337092 393274 499884 529716 583198 589911 618002 786548 874797 927003 1166396 1179822 1236004 1749594 1854006 2163007 2171033 2359644 3499188 3708012 4326014 4342066 6489021 6513099 8652028 8684132 12978042 13026198 15197231 23881363 25956084 26052396 30394462 45591693 47762726 60788924 71644089 91183386 95525452 106380617 143288178 167169541 182366772 212761234 286576356 319141851 334339082 425522468 501508623 638283702 668678164 1003017246 1170186787 1276567404 2006034492 2340373574 3510560361 4680747148 7021120722 14042241444