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4435286544144 = 243222327872
BaseRepresentation
bin100000010001010101110…
…1011011100111100010000
3120201000020202010020112100
41000202223223130330100
51040131431323403034
613233313103200400
7635303351405121
oct100425353347420
916630222106470
104435286544144
11145aaa3698945
125b77085a6100
13262326b269a1
14114951abc048
157a58a686099
hex408abadcf10

4435286544144 has 135 divisors (see below), whose sum is σ = 12484417156263. Its totient is φ = 1469928983616.

The previous prime is 4435286544121. The next prime is 4435286544151. The reversal of 4435286544144 is 4414456825344.

The square root of 4435286544144 is 2106012.

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

4435286544144 is a `hidden beast` number, since 4 + 4 + 3 + 5 + 2 + 86 + 544 + 14 + 4 = 666.

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 26 ways as a sum of consecutive naturals, for example, 5635687719 + ... + 5635688505.

Almost surely, 24435286544144 is an apocalyptic number.

4435286544144 is the 2106012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4435286544144

4435286544144 is an abundant number, since it is smaller than the sum of its proper divisors (8049130612119).

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

4435286544144 is an frugal number, since it uses more digits than its factorization.

4435286544144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2034 (or 1015 counting only the distinct ones).

The product of its digits is 29491200, while the sum is 54.

The spelling of 4435286544144 in words is "four trillion, four hundred thirty-five billion, two hundred eighty-six million, five hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 223 446 669 787 892 1338 1574 1784 2007 2361 2676 3148 3568 4014 4722 5352 6296 7083 8028 9444 10704 12592 14166 16056 18888 28332 32112 37776 49729 56664 99458 113328 149187 175501 198916 298374 351002 397832 447561 526503 596748 619369 702004 795664 895122 1053006 1193496 1238738 1404008 1579509 1790244 1858107 2106012 2386992 2477476 2808016 3159018 3580488 3716214 4212024 4954952 5574321 6318036 7160976 7432428 8424048 9909904 11148642 12636072 14864856 22297284 25272144 29729712 39136723 44594568 78273446 89189136 117410169 138119287 156546892 234820338 276238574 313093784 352230507 414357861 469640676 552477148 626187568 704461014 828715722 939281352 1104954296 1243073583 1408922028 1657431444 1878562704 2209908592 2486147166 2817844056 3314862888 4972294332 5635688112 6629725776 9944588664 19889177328 30800601001 61601202002 92401803003 123202404004 184803606006 246404808008 277205409009 369607212012 492809616016 554410818018 739214424024 1108821636036 1478428848048 2217643272072 4435286544144