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16144014666880 = 275104924179949
BaseRepresentation
bin1110101011101101001001…
…0000100110110010000000
32010011100112010202220002201
43222323102100212302000
54104000420223320010
654200242530122544
73254236506336112
oct352732220466200
963140463686081
1016144014666880
115164702451221
121988999a20454
139014b2a35829
143db5357db3b2
151cee222bd23a
hexeaed2426c80

16144014666880 has 128 divisors (see below), whose sum is σ = 38650944150000. Its totient is φ = 6448132521984.

The previous prime is 16144014666827. The next prime is 16144014666881. The reversal of 16144014666880 is 8866641044161.

It can be written as a sum of positive squares in 8 ways, for example, as 14136216353856 + 2007798313024 = 3759816^2 + 1416968^2 .

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

It is not an unprimeable number, because it can be changed into a prime (16144014666881) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1622672146 + ... + 1622682094.

Almost surely, 216144014666880 is an apocalyptic number.

16144014666880 is a gapful number since it is divisible by the number (10) 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 16144014666880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19325472075000).

16144014666880 is an abundant number, since it is smaller than the sum of its proper divisors (22506929483120).

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

16144014666880 is a wasteful number, since it uses less digits than its factorization.

16144014666880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13434 (or 13422 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 55.

The spelling of 16144014666880 in words is "sixteen trillion, one hundred forty-four billion, fourteen million, six hundred sixty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1049 2098 2417 4196 4834 5245 8392 9668 9949 10490 12085 16784 19336 19898 20980 24170 33568 38672 39796 41960 48340 49745 67136 77344 79592 83920 96680 99490 134272 154688 159184 167840 193360 198980 309376 318368 335680 386720 397960 636736 671360 773440 795920 1273472 1546880 1591840 2535433 3183680 5070866 6367360 10141732 10436501 12677165 20283464 20873002 24046733 25354330 40566928 41746004 48093466 50708660 52182505 81133856 83492008 96186932 101417320 104365010 120233665 162267712 166984016 192373864 202834640 208730020 240467330 324535424 333968032 384747728 405669280 417460040 480934660 667936064 769495456 811338560 834920080 961869320 1335872128 1538990912 1622677120 1669840160 1923738640 3077981824 3339680320 3847477280 6679360640 7694954560 15389909120 25225022917 50450045834 100900091668 126125114585 201800183336 252250229170 403600366672 504500458340 807200733344 1009000916680 1614401466688 2018001833360 3228802933376 4036003666720 8072007333440 16144014666880