Search a number
-
+
80840310144 = 2731182123311
BaseRepresentation
bin100101101001001110…
…1010011110110000000
321201122220022020210220
41023102131103312000
52311030104411034
6101045412223040
75561204204256
oct1132235236600
9251586266726
1080840310144
113131427a580
121380130aa80
13781425c759
143cac5d85d6
152182159749
hex12d2753d80

80840310144 has 128 divisors (see below), whose sum is σ = 234548559360. Its totient is φ = 24466176000.

The previous prime is 80840310113. The next prime is 80840310151. The reversal of 80840310144 is 44101304808.

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

It is a super-4 number, since 4×808403101444 (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3456249 + ... + 3479559.

It is an arithmetic number, because the mean of its divisors is an integer number (1832410620).

Almost surely, 280840310144 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 80840310144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117274279680).

80840310144 is an abundant number, since it is smaller than the sum of its proper divisors (153708249216).

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

80840310144 is a wasteful number, since it uses less digits than its factorization.

80840310144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24160 (or 24148 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The spelling of 80840310144 in words is "eighty billion, eight hundred forty million, three hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 821 1056 1408 1642 2112 2463 3284 4224 4926 6568 9031 9852 13136 18062 19704 23311 26272 27093 36124 39408 46622 52544 54186 69933 72248 78816 93244 105088 108372 139866 144496 157632 186488 216744 256421 279732 288992 315264 372976 433488 512842 559464 577984 745952 769263 866976 1025684 1118928 1155968 1491904 1538526 1733952 2051368 2237856 2983808 3077052 3467904 4102736 4475712 6154104 8205472 8951424 12308208 16410944 19138331 24616416 32821888 38276662 49232832 57414993 76553324 98465664 114829986 153106648 210521641 229659972 306213296 421043282 459319944 612426592 631564923 842086564 918639888 1224853184 1263129846 1684173128 1837279776 2449706368 2526259692 3368346256 3674559552 5052519384 6736692512 7349119104 10105038768 13473385024 20210077536 26946770048 40420155072 80840310144