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14055204401344 = 2629419128314087
BaseRepresentation
bin1100110010000111101101…
…1101110011000011000000
31211202122221100202002212201
43030201323131303003000
53320240024311320334
645520512145002544
72650312032126061
oct314417335630300
954678840662781
1014055204401344
114529862514477
1216abbab623454
137ac527cbaca2
143683c006a568
1519591c622c14
hexcc87b7730c0

14055204401344 has 112 divisors (see below), whose sum is σ = 28946004998400. Its totient is φ = 6763321005056.

The previous prime is 14055204401309. The next prime is 14055204401411. The reversal of 14055204401344 is 44310440255041.

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, 997735869 + ... + 997749955.

It is an arithmetic number, because the mean of its divisors is an integer number (258446473200).

Almost surely, 214055204401344 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 14055204401344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14473002499200).

14055204401344 is an abundant number, since it is smaller than the sum of its proper divisors (14890800597056).

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

14055204401344 is a wasteful number, since it uses less digits than its factorization.

14055204401344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15830 (or 15820 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 37.

Adding to 14055204401344 its reverse (44310440255041), we get a palindrome (58365644656385).

The spelling of 14055204401344 in words is "fourteen trillion, fifty-five billion, two hundred four million, four hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 419 464 838 928 1283 1676 1856 2566 3352 5132 6704 10264 12151 13408 14087 20528 24302 26816 28174 37207 41056 48604 56348 74414 82112 97208 112696 148828 194416 225392 297656 388832 408523 450784 537577 595312 777664 817046 901568 1075154 1190624 1634092 2150308 2381248 3268184 4300616 5902453 6536368 8601232 11804906 13072736 15589733 17202464 18073621 23609812 26145472 31179466 34404928 36147242 47219624 62358932 72294484 94439248 124717864 144588968 171171137 188878496 249435728 289177936 342342274 377756992 498871456 524135009 578355872 684684548 997742912 1048270018 1156711744 1369369096 2096540036 2738738192 4193080072 5477476384 7572847199 8386160144 10954952768 15145694398 16772320288 30291388796 33544640576 60582777592 121165555184 219612568771 242331110368 439225137542 484662220736 878450275084 1756900550168 3513801100336 7027602200672 14055204401344