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1442413034304 = 263111793815423
BaseRepresentation
bin10100111111010110100…
…001000011101101000000
312002220010020121011202020
4110333112201003231000
5142113030214044204
63022345125121440
7206132224332204
oct24772641035500
95086106534666
101442413034304
115067a6610760
121b3671259280
13a6032889a88
144db5546ab04
15277c18e4bd9
hex14fd6843b40

1442413034304 has 112 divisors (see below), whose sum is σ = 4186588446720. Its totient is φ = 434652874240.

The previous prime is 1442413034287. The next prime is 1442413034357. The reversal of 1442413034304 is 4034303142441.

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 (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1529664 + ... + 2285759.

Almost surely, 21442413034304 is an apocalyptic number.

It is an amenable number.

1442413034304 is an abundant number, since it is smaller than the sum of its proper divisors (2744175412416).

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

1442413034304 is a wasteful number, since it uses less digits than its factorization.

1442413034304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3815628 (or 3815618 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 1442413034304 its reverse (4034303142441), we get a palindrome (5476716176745).

The spelling of 1442413034304 in words is "one trillion, four hundred forty-two billion, four hundred thirteen million, thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 179 192 264 352 358 528 537 704 716 1056 1074 1432 1969 2112 2148 2864 3938 4296 5728 5907 7876 8592 11456 11814 15752 17184 23628 31504 34368 47256 63008 94512 126016 189024 378048 3815423 7630846 11446269 15261692 22892538 30523384 41969653 45785076 61046768 83939306 91570152 122093536 125908959 167878612 183140304 244187072 251817918 335757224 366280608 503635836 671514448 682960717 732561216 1007271672 1343028896 1365921434 2014543344 2048882151 2686057792 2731842868 4029086688 4097764302 5463685736 7512567887 8058173376 8195528604 10927371472 15025135774 16391057208 21854742944 22537703661 30050271548 32782114416 43709485888 45075407322 60100543096 65564228832 90150814644 120201086192 131128457664 180301629288 240402172384 360603258576 480804344768 721206517152 1442413034304