6442006132144
6,442,006,132,144 is an even composite number composed of seven prime numbers multiplied together.
What does the number 6442006132144 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 480 divisors.
6442006132144 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 6442006132144:
24 × 11 × 312 × 41 × 61 × 97 × 157
(2 × 2 × 2 × 2 × 11 × 31 × 31 × 41 × 61 × 97 × 157)See below for interesting mathematical facts about the number 6442006132144 from the Numbermatics database.
Names of 6442006132144
- Cardinal: 6442006132144 can be written as Six trillion, four hundred forty-two billion, six million, one hundred thirty-two thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 6.442006132144 × 1012
Factors of 6442006132144
Divisors of 6442006132144
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 4 8 11 16 22 31 41 44 61 62 82 88 97 122 124 157 164 176 194 244 248 314 328 341 388 451 488 496 628 656 671 682 776 902 961 976 1067 1256 1271 1342 1364 1552 1727 1804 1891 1922 2134 2501 2512 2542 2684 2728 3007 3454 3608 3782 3844 3977 4268 4867 5002 5084 5368 5456 5917 6014 6437 6908 7216 7564 7688 7954 8536 9577 9734 10004 10168 10571 10736 11834 12028 12874 13816 13981 15128 15229 15376 15908 17072 19154 19468 20008 20336 20801 21142 23668 24056 25748 27511 27632 27962 30256 30458 31816 33077 38308 38936 39401 40016 41602 42284 43747 47336 48112 51496 53537 55022 55924 58621 60916 63632 65087 66154 70807 76616 77531 77872 78802 83204 84568 87494 93217 94672 102992 105347 107074 110044 111848 117242 121832 123287 130174 132308 141614 150877 153232 155062 157604 166408 167519 169136 174988 183427 186434 199547 210694 214148 220088 223696 234484 242597 243664 246574 260348 264616 283228 296887 301754 310124 315208 332816 335038 349976 366854 372868 392657 399094 421388 428296 433411 440176 468968 472099 485194 493148 520696 529232 566456 593774 603508 620248 624389 630416 644831 670076 699952 733708 745736 785314 798188 842776 852841 856592 866822 928969 937936 944198 970388 986296 1025387 1041392 1132912 1187548 1207016 1240496 1248778 1289662 1340152 1356157 1467416 1491472 1570628 1596376 1659647 1685552 1705682 1733644 1857938 1888396 1940776 1972592 2017697 2050774 2195017 2375096 2403461 2414032 2497556 2579324 2668567 2680304 2712314 2934832 3141256 3192752 3265757 3319294 3411364 3467288 3715876 3776792 3821897 3881552 4035394 4101548 4319227 4390034 4750192 4806922 4995112 5158648 5193089 5337134 5424628 5686237 6185957 6282512 6531514 6638588 6822728 6868279 6934576 7431752 7520507 7553584 7643794 8070788 8203096 8638454 8780068 9203497 9613844 9990224 10218659 10317296 10386178 10674268 10849256 11372474 12172367 12371914 13063028 13277176 13645456 13736558 14635069 14863504 15041014 15287588 16141576 16406192 17276908 17560136 18406994 19227688 19356059 20437318 20772356 21348536 21698512 22744948 24344734 24743828 26126056 26438071 26554352 27473116 28798039 29270138 30082028 30575176 32283152 34553816 35120272 36813988 38087729 38455376 38712118 40874636 41544712 42040867 42697072 45489896 48689468 49487656 52252112 52876142 54946232 57596078 58540276 60164056 61150352 62548607 68045527 69107632 73627976 76175458 77424236 81749272 82725577 83089424 84081734 90979792 97378936 98975312 101238467 105752284 109892464 115192156 117080552 120328112 125097214 133896037 136091054 147255952 152350916 154848472 160985759 163498544 165451154 168163468 194757872 202476934 211504568 212916649 230384312 233135717 234161104 250194428 267792074 272182108 304701832 309696944 316778429 321971518 330902308 336326936 377343377 404953868 418965019 423009136 425833298 460768624 466271434 500388856 535584148 544364216 600037829 609403664 633556858 643943036 661804616 672653872 754686754 809907736 837930038 851666596 892739209 932542868 1000777712 1071168296 1088728432 1180719599 1200075658 1267113716 1287886072 1323609232 1509373508 1619815472 1675860076 1703333192 1785478418 1865085736 2142336592 2361439198 2400151316 2534227432 2564492887 2575772144 3018747016 3351720152 3406666384 3570956836 3730171472 4150777147 4722878396 4800302632 5068454864 5128985774 6037494032 6600416119 6703440304 7141913672 8301554294 9445756792 9600605264 9820131299 10257971548 12987915589 13200832238 14283827344 16603108588 18891513584 19640262598 20515943096 25975831178 26401664476 33206217176 36602307569 39280525196 41031886192 51951662356 52803328952 66412434352 73204615138 78561050392 103903324712 105606657904 146409230276 157122100784 207806649424 292818460552 402625383259 585636921104 805250766518 1610501533036 3221003066072 6442006132144
- Sum of all divisors σ(n): 14894170837056
- Sum of proper divisors (its aliquot sum) s(n): 8452164704912
- 6442006132144 is an abundant number, because the sum of its proper divisors (8452164704912) is greater than itself. Its abundance is 2010158572768
Bases of 6442006132144
- Binary: 10111011011111001010111110010110101101100002
- Hexadecimal: 0x5DBE57CB5B0
- Base-36: 2A7F04FXS
Squares and roots of 6442006132144
- 6442006132144 squared (64420061321442) is 41499443006580899190036736
- 6442006132144 cubed (64420061321443) is 267339666328954588729238136100630441984
-
The
square root of 6442006132144 is 2538110.7407171973 -
The
cube root of 6442006132144 is 18606.8866202955
Scales and comparisons
How big is 6442006132144?- 6,442,006,132,144 seconds is equal to 204,835 years, 45 weeks, 1 day, 3 hours, 49 minutes, 4 seconds.
-
To count from 1 to 6,442,006,132,144 would take you about five hundred twelve thousand and eighty-nine years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 6442006132144 cubic inches would be around 1550.6 feet tall.
Recreational maths with 6442006132144
- 6442006132144 backwards is 4412316002446
- The number of decimal digits it has is: 13
- The sum of 6442006132144's digits is 37
- More coming soon!
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