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445355314452 = 2233139106127961
BaseRepresentation
bin1100111101100010011…
…11101100110100010100
31120120112120121001212000
412132301033230310110
524244041430030302
6540332101555300
744114214466326
oct6366117546424
91516476531760
10445355314452
11161968512454
1272390715b30
1332cc6046609
14177abac3616
15b8b862031c
hex67b13ecd14

445355314452 has 96 divisors (see below), whose sum is σ = 1164069244800. Its totient is φ = 147239596800.

The previous prime is 445355314421. The next prime is 445355314501. The reversal of 445355314452 is 254413553544.

445355314452 is a `hidden beast` number, since 4 + 4 + 5 + 3 + 553 + 1 + 44 + 52 = 666.

It is a super-2 number, since 2×4453553144522 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 445355314398 and 445355314407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15913752 + ... + 15941712.

It is an arithmetic number, because the mean of its divisors is an integer number (12125721300).

Almost surely, 2445355314452 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 445355314452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582034622400).

445355314452 is an abundant number, since it is smaller than the sum of its proper divisors (718713930348).

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

445355314452 is a wasteful number, since it uses less digits than its factorization.

445355314452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29174 (or 29166 counting only the distinct ones).

The product of its digits is 2880000, while the sum is 45.

Adding to 445355314452 its reverse (254413553544), we get a palindrome (699768867996).

The spelling of 445355314452 in words is "four hundred forty-five billion, three hundred fifty-five million, three hundred fourteen thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 139 278 417 556 834 1061 1251 1668 2122 2502 3183 3753 4244 5004 6366 7506 9549 12732 15012 19098 27961 28647 38196 55922 57294 83883 111844 114588 147479 167766 251649 294958 335532 442437 503298 589916 754947 884874 1006596 1327311 1509894 1769748 2654622 3019788 3886579 3981933 5309244 7773158 7963866 11659737 15546316 15927732 23319474 29666621 34979211 46638948 59333242 69958422 88999863 104937633 118666484 139916844 177999726 209875266 266999589 355999452 419750532 533999178 800998767 1067998356 1601997534 3203995068 4123660319 8247320638 12370980957 16494641276 24741961914 37112942871 49483923828 74225885742 111338828613 148451771484 222677657226 445355314452