1006896006144
1,006,896,006,144 is an even composite number composed of seven prime numbers multiplied together.
1006896006144 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred eight divisors.
Prime factorization of 1006896006144:
210 × 33 × 7 × 17 × 29 × 61 × 173
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 17 × 29 × 61 × 173)See below for interesting mathematical facts about the number 1006896006144 from the Numbermatics database.
Names of 1006896006144
- Cardinal: 1006896006144 can be written as One trillion, six billion, eight hundred ninety-six million, six thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.006896006144 × 1012
Factors of 1006896006144
Divisors of 1006896006144
- Number of divisors d(n): 1408
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 29 32 34 36 42 48 51 54 56 58 61 63 64 68 72 84 87 96 102 108 112 116 119 122 126 128 136 144 153 168 173 174 183 189 192 203 204 216 224 232 238 244 252 256 261 272 288 306 336 346 348 357 366 378 384 406 408 427 432 448 459 464 476 488 493 504 512 519 522 544 549 576 609 612 672 692 696 714 732 756 768 783 812 816 854 864 896 918 928 952 976 986 1008 1024 1037 1038 1044 1071 1088 1098 1152 1211 1218 1224 1281 1344 1384 1392 1428 1464 1479 1512 1536 1557 1566 1624 1632 1647 1708 1728 1769 1792 1827 1836 1856 1904 1952 1972 2016 2074 2076 2088 2142 2176 2196 2304 2422 2436 2448 2562 2688 2768 2784 2856 2928 2941 2958 3024 3072 3111 3114 3132 3213 3248 3264 3294 3416 3451 3456 3538 3584 3633 3654 3672 3712 3808 3843 3904 3944 4032 4148 4152 4176 4284 4352 4392 4437 4608 4671 4844 4872 4896 5017 5124 5307 5376 5481 5536 5568 5712 5856 5882 5916 6048 6222 6228 6264 6426 6496 6528 6588 6832 6902 6912 7076 7168 7259 7266 7308 7344 7424 7616 7686 7808 7888 8064 8296 8304 8352 8568 8704 8784 8823 8874 9216 9333 9342 9688 9744 9792 10034 10248 10353 10553 10614 10752 10899 10962 11072 11136 11424 11529 11712 11764 11832 12096 12383 12444 12456 12528 12852 12992 13056 13176 13311 13664 13804 13824 14152 14518 14532 14616 14688 14848 15051 15232 15372 15616 15776 15921 16128 16592 16608 16704 17136 17408 17568 17646 17748 18666 18684 19376 19488 19584 20068 20496 20587 20706 21106 21228 21504 21777 21798 21924 22144 22272 22848 23058 23424 23528 23664 24192 24766 24888 24912 25056 25704 25984 26112 26352 26469 26622 27328 27608 27648 27999 28304 29036 29064 29232 29376 29696 30073 30102 30464 30744 31059 31232 31552 31659 31842 32256 32697 33184 33216 33408 34272 35119 35136 35292 35496 37149 37332 37368 38752 38976 39168 40136 40992 41174 41412 42212 42456 43554 43596 43848 44288 44544 45153 45696 46116 46848 47056 47328 47763 48384 49532 49776 49824 50112 51408 51968 52224 52704 52938 53244 54656 55216 55998 56608 58072 58128 58464 58752 60146 60204 60928 61488 61761 62118 62464 63104 63318 63684 64512 65331 65394 66368 66432 66816 68544 70238 70272 70584 70992 73871 74298 74664 74736 77504 77952 78336 79407 80272 81984 82348 82824 84424 84912 85289 87108 87192 87696 88576 89088 90219 90306 91392 92232 93177 93696 94112 94656 94977 95526 96768 99064 99552 99648 100224 102816 103936 105357 105408 105876 106488 109312 110432 111447 111996 113216 116144 116256 116928 117504 120292 120408 121856 122976 123522 124236 126208 126636 127368 130662 130788 132736 132864 133632 135459 137088 140476 140544 141168 141984 147742 148596 149328 149472 155008 155904 156672 158814 160544 163968 164696 165648 168848 169824 170578 174216 174384 175392 177152 179401 180438 180612 182784 184464 185283 186354 187392 188224 189312 189954 191052 193536 195993 198128 199104 199296 200448 205632 207872 210511 210714 210816 211752 212976 218624 220864 221613 222894 223992 226432 232288 232512 233856 235008 240584 240816 245952 247044 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905728 918111 929152 930048 935424 948213 962336 963264 983808 988176 993888 1013088 1018944 1023468 1045296 1046304 1061888 1076406 1082628 1083672 1096704 1111698 1123808 1129344 1135872 1139724 1181936 1188768 1194046 1194624 1195776 1224148 1240064 1255807 1263066 1264284 1270512 1284352 1311744 1317568 1325184 1329678 1337364 1350784 1358592 1364624 1393728 1395072 1403136 1435208 1443504 1444896 1475712 1482264 1490832 1505792 1514496 1519632 1528416 1535202 1567944 1585024 1592832 1594368 1614609 1623942 1645056 1684088 1685712 1686528 1694016 1703808 1766912 1772904 1783152 1791069 1791936 1811456 1836222 1858304 1860096 1870848 1894599 1896426 1924672 1926528 1967616 1976352 1987776 1994517 2026176 2037888 2046936 2090592 2092608 2142259 2152812 2165256 2167344 2223396 2247616 2258688 2271744 2279448 2302803 2363872 2377536 2388092 2389248 2391552 2448296 2511614 2526132 2528568 2541024 2568704 2635136 2650368 2659356 2674728 2701568 2717184 2729248 2754333 2787456 2790144 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109255209 113465856 114121728 114628416 115681986 117518208 120557472 121254336 121371264 124863096 127649088 128956968 131003904 132207984 135627156 137104576 137779968 138576384 138710016 140470983 142297344 145673612 145884672 147379392 152837888 154242648 155002464 156690944 160743296 161672448 161828352 166484128 170198784 171182592 171942624 176277312 180836208 181881504 183706624 187294644 189729792 196505856 200696832 205656864 206669952 207864576 215563264 218510418 226931712 229256832 231363972 235036416 241114944 242508672 242742528 249726192 255298176 257913936 262007808 264415968 271254312 274209152 275559936 277152768 280941966 284594688 291347224 291769344 294758784 305675776 308485296 310004928 313381888 321486592 323344896 323656704 327765627 332968256 340397568 342365184 343885248 352554624 361672416 363763008 374589288 393011712 411313728 413339904 415729152 437020836 458513664 462727944 470072832 482229888 485017344 485485056 499452384 510596352 515827872 528831936 542508624 548418304 551119872 561883932 569189376 582694448 589517568 611351552 616970592 620009856 642973184 646689792 655531254 665936512 680795136 687770496 705109248 723344832 727526016 749178576 786023424 822627456 826679808 831458304 874041672 917027328 925455888 940145664 964459776 970034688 970970112 983296881 998904768 1021192704 1031655744 1057663872 1085017248 1096836608 1123767864 1165388896 1179035136 1233941184 1240019712 1285946368 1311062508 1331873024 1375540992 1410218496 1446689664 1455052032 1498357152 1645254912 1653359616 1748083344 1834054656 1850911776 1928919552 1940069376 1966593762 1997809536 2042385408 2063311488 2115327744 2170034496 2193673216 2247535728 2330777792 2358070272 2467882368 2480039424 2622125016 2663746048 2751081984 2820436992 2893379328 2910104064 2996714304 3290509824 3496166688 3701823552 3857839104 3933187524 3995619072 4126622976 4230655488 4340068992 4495071456 4661555584 4935764736 4960078848 5244250032 5327492096 5502163968 5786758656 5820208128 5993428608 6581019648 6992333376 7403647104 7866375048 7991238144 8253245952 8461310976 8680137984 8990142912 9323111168 9871529472 10488500064 11573517312 11986857216 13984666752 14807294208 15732750096 15982476288 16506491904 17360275968 17980285824 18646222336 19743058944 20977000128 23973714432 27969333504 29614588416 31465500192 34720551936 35960571648 37292444672 41954000256 47947428864 55938667008 59229176832 62931000384 71921143296 83908000512 111877334016 125862000768 143842286592 167816001024 251724001536 335632002048 503448003072 1006896006144
- Sum of all divisors σ(n): 3815948620800
- Sum of proper divisors (its aliquot sum) s(n): 2809052614656
- 1006896006144 is an abundant number, because the sum of its proper divisors (2809052614656) is greater than itself. Its abundance is 1802156608512
Bases of 1006896006144
- Binary: 11101010011011111010110111000100000000002
- Hexadecimal: 0xEA6FADC400
- Base-36: CUK7VUO0
Squares and roots of 1006896006144
- 1006896006144 squared (10068960061442) is 1013839567188738085748736
- 1006896006144 cubed (10068960061443) is 1020831011073101924395666082296233984
-
The
square root of 1006896006144 is 1003442.0791176739 -
The
cube root of 1006896006144 is 10022.9340498735
Scales and comparisons
How big is 1006896006144?- 1,006,896,006,144 seconds is equal to 32,016 years, 9 weeks, 1 day, 23 hours, 2 minutes, 24 seconds.
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To count from 1 to 1,006,896,006,144 would take you about eighty thousand and forty 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 1006896006144 cubic inches would be around 835.2 feet tall.
Recreational maths with 1006896006144
- 1006896006144 backwards is 4416006986001
- The number of decimal digits it has is: 13
- The sum of 1006896006144's digits is 45
- More coming soon!
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The information we have on file for 1006896006144 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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