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78421281444 = 223211242432
BaseRepresentation
bin100100100001001000…
…1011100101010100100
321111102022110212021100
41021002101130222210
52241101322001234
6100005400120100
75444231615412
oct1110221345244
9244368425240
1078421281444
1130292850500
1213247166030
13751a04081c
143b1d2242b2
15208eac5399
hex124245caa4

78421281444 has 81 divisors (see below), whose sum is σ = 217942267179. Its totient is φ = 23758423920.

The previous prime is 78421281427. The next prime is 78421281541. The reversal of 78421281444 is 44418212487.

The square root of 78421281444 is 280038.

It is a perfect power (a square), and thus also a powerful number.

78421281444 is a `hidden beast` number, since 7 + 84 + 2 + 128 + 1 + 444 = 666.

It is a super-2 number, since 2×784212814442 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78421281444.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18480387 + ... + 18484629.

Almost surely, 278421281444 is an apocalyptic number.

78421281444 is the 280038-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78421281444

78421281444 is an abundant number, since it is smaller than the sum of its proper divisors (139520985735).

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

78421281444 is a wasteful number, since it uses less digits than its factorization.

78421281444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8518 (or 4259 counting only the distinct ones).

The product of its digits is 458752, while the sum is 45.

The spelling of 78421281444 in words is "seventy-eight billion, four hundred twenty-one million, two hundred eighty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4243 4356 8486 12729 16972 25458 38187 46673 50916 76374 93346 140019 152748 186692 280038 420057 513403 560076 840114 1026806 1540209 1680228 2053612 3080418 4620627 6160836 9241254 18003049 18482508 36006098 54009147 72012196 108018294 162027441 198033539 216036588 324054882 396067078 594100617 648109764 792134156 1188201234 1782301851 2178368929 2376402468 3564603702 4356737858 6535106787 7129207404 8713475716 13070213574 19605320361 26140427148 39210640722 78421281444