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14433421333144 = 23111983963110799
BaseRepresentation
bin1101001000001000101011…
…1100111001001010011000
31220002211011221121221212211
43102002022330321022120
53342434121330130034
650410342222244504
73016531431035452
oct322021274711230
956084157557784
1014433421333144
1146651a8078270
121751363726734
138090b170c358
1437c81d1db2d2
151a06a698dd64
hexd208af39298

14433421333144 has 128 divisors (see below), whose sum is σ = 31457341440000. Its totient is φ = 6139259049600.

The previous prime is 14433421333109. The next prime is 14433421333153. The reversal of 14433421333144 is 44133312433441.

It is a junction number, because it is equal to n+sod(n) for n = 14433421333097 and 14433421333106.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1336546257 + ... + 1336557055.

It is an arithmetic number, because the mean of its divisors is an integer number (245760480000).

Almost surely, 214433421333144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14433421333144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15728670720000).

14433421333144 is an abundant number, since it is smaller than the sum of its proper divisors (17023920106856).

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

14433421333144 is a wasteful number, since it uses less digits than its factorization.

14433421333144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20549 (or 20545 counting only the distinct ones).

The product of its digits is 497664, while the sum is 40.

Adding to 14433421333144 its reverse (44133312433441), we get a palindrome (58566733766585).

The spelling of 14433421333144 in words is "fourteen trillion, four hundred thirty-three billion, four hundred twenty-one million, three hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 19 22 38 44 76 83 88 152 166 209 332 418 664 836 913 1577 1672 1826 3154 3652 6308 7304 9631 10799 12616 17347 19262 21598 34694 38524 43196 69388 77048 86392 105941 118789 138776 182989 205181 211882 237578 365978 410362 423764 475156 731956 799373 820724 847528 896317 950312 1463912 1598746 1641448 1792634 2012879 2256991 3197492 3585268 4025758 4513982 6394984 7170536 8051516 8793103 9027964 9859487 15188087 16103032 17030023 17586206 18055928 19718974 30376174 34060046 35172412 39437948 60752348 68120092 70344824 78875896 104005169 121504696 136240184 167068957 187330253 208010338 334137914 374660506 416020676 668275828 749321012 832041352 1144056859 1336551656 1498642024 1976098211 2288113718 3952196422 4576227436 7904392844 8632429027 9152454872 15808785688 17264858054 21737080321 34529716108 43474160642 69059432216 86948321284 94956719297 164016151513 173896642568 189913438594 328032303026 379826877188 656064606052 759653754376 1312129212104 1804177666643 3608355333286 7216710666572 14433421333144