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80444408040 = 2334524828521
BaseRepresentation
bin100101011101011011…
…1000100000011101000
321200122022100100020000
41022322313010003220
52304222232024130
6100542230503000
75545326120603
oct1127267040350
9250568310200
1080444408040
1131130853457
1213710804a60
137780224459
143c71bbd33a
15215c505260
hex12badc40e8

80444408040 has 80 divisors (see below), whose sum is σ = 270382604580. Its totient is φ = 21451841280.

The previous prime is 80444407991. The next prime is 80444408059. The reversal of 80444408040 is 4080444408.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 77810870916 + 2633537124 = 278946^2 + 51318^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 80444407986 and 80444408004.

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 19 ways as a sum of consecutive naturals, for example, 12411021 + ... + 12417500.

Almost surely, 280444408040 is an apocalyptic number.

It is an amenable number.

80444408040 is an abundant number, since it is smaller than the sum of its proper divisors (189938196540).

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

80444408040 is a wasteful number, since it uses less digits than its factorization.

80444408040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24828544 (or 24828531 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The spelling of 80444408040 in words is "eighty billion, four hundred forty-four million, four hundred eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 24828521 49657042 74485563 99314084 124142605 148971126 198628168 223456689 248285210 297942252 372427815 446913378 496570420 595884504 670370067 744855630 893826756 993140840 1117283445 1340740134 1489711260 1787653512 2011110201 2234566890 2681480268 2979422520 3351850335 4022220402 4469133780 5362960536 6703700670 8044440804 8938267560 10055551005 13407401340 16088881608 20111102010 26814802680 40222204020 80444408040