1001142031680
1,001,142,031,680 is an even composite number composed of seven prime numbers multiplied together.
1001142031680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 1001142031680:
26 × 32 × 5 × 7 × 151 × 173 × 1901
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 151 × 173 × 1901)See below for interesting mathematical facts about the number 1001142031680 from the Numbermatics database.
Names of 1001142031680
- Cardinal: 1001142031680 can be written as One trillion, one billion, one hundred forty-two million, thirty-one thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.00114203168 × 1012
Factors of 1001142031680
Divisors of 1001142031680
- Number of divisors d(n): 672
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 64 70 72 80 84 90 96 105 112 120 126 140 144 151 160 168 173 180 192 210 224 240 252 280 288 302 315 320 336 346 360 420 448 453 480 504 519 560 576 604 630 672 692 720 755 840 865 906 960 1008 1038 1057 1120 1208 1211 1260 1344 1359 1384 1440 1510 1557 1680 1730 1812 1901 2016 2076 2114 2240 2265 2416 2422 2520 2595 2718 2768 2880 3020 3114 3171 3360 3460 3624 3633 3802 4032 4152 4228 4530 4832 4844 5040 5190 5285 5436 5536 5703 6040 6055 6228 6342 6720 6795 6920 7248 7266 7604 7785 8304 8456 9060 9505 9513 9664 9688 10080 10380 10570 10872 10899 11072 11406 12080 12110 12456 12684 13307 13590 13840 14496 14532 15208 15570 15855 16608 16912 17109 18120 18165 19010 19026 19376 20160 20760 21140 21744 21798 22812 24160 24220 24912 25368 26123 26614 27180 27680 28515 28992 29064 30416 31140 31710 33216 33824 34218 36240 36330 38020 38052 38752 39921 41520 42280 43488 43596 45624 47565 48320 48440 49824 50736 52246 53228 54360 54495 55360 57030 58128 60832 62280 63420 66535 67648 68436 72480 72660 76040 76104 77504 78369 79842 83040 84560 85545 86976 87192 91248 95130 96880 99648 101472 104492 106456 108720 108990 114060 116256 119763 121664 124560 126840 130615 133070 136872 144960 145320 152080 152208 156738 159684 166080 169120 171090 174384 182496 182861 190260 193760 199605 202944 208984 212912 217440 217980 228120 232512 235107 239526 249120 253680 261230 266140 273744 287051 290640 304160 304416 313476 319368 328873 338240 342180 348768 364992 365722 380520 387520 391845 399210 417968 425824 434880 435960 456240 470214 479052 498240 507360 522460 532280 547488 548583 574102 581280 598815 608320 608832 626952 638736 657746 684360 697536 731444 761040 783690 798420 835936 851648 861153 871920 912480 914305 940428 958104 986619 1014720 1044920 1064560 1094976 1097166 1148204 1162560 1175535 1197630 1253904 1277472 1315492 1368720 1435255 1462888 1522080 1567380 1596840 1644365 1645749 1671872 1722306 1743840 1824960 1828610 1880856 1916208 1973238 2009357 2089840 2129120 2194332 2296408 2302111 2351070 2395260 2507808 2554944 2583459 2630984 2737440 2742915 2870510 2925776 2959857 3044160 3134760 3193680 3288730 3291498 3444612 3487680 3657220 3761712 3832416 3946476 4018714 4179680 4258240 4305765 4388664 4592816 4604222 4702140 4790520 4933095 5015616 5166918 5261968 5474880 5485830 5741020 5851552 5919714 6028071 6269520 6387360 6577460 6582996 6889224 6906333 7314440 7523424 7664832 7892952 8037428 8228745 8359360 8611530 8777328 9185632 9208444 9404280 9581040 9866190 10046785 10333836 10523936 10971660 11482040 11510555 11703104 11839428 12056142 12539040 12774720 12917295 13154920 13165992 13778448 13812666 14628880 14799285 15046848 15785904 16074856 16457490 17223060 17554656 18084213 18371264 18416888 18808560 19162080 19732380 20093570 20667672 20718999 21047872 21943320 22964080 23021110 23678856 24112284 25078080 25834590 26309840 26331984 27556896 27625332 29257760 29598570 30140355 31571808 32149712 32914980 34446120 34531665 35109312 36168426 36833776 37617120 38324160 39464760 40187140 41335344 41437998 43886640 45928160 46042220 47357712 48224568 49659823 51669180 52619680 52663968 55113792 55250664 58515520 59197140 60280710 63143616 64299424 65829960 68892240 69063330 72336852 73667552 75234240 78929520 80374280 82670688 82875996 87773280 90421065 91856320 92084440 94715424 96449136 99319646 103338360 103594995 105239360 105327936 110501328 118394280 120561420 128598848 131659920 137784480 138126660 144673704 147335104 148979469 157859040 160748560 165341376 165751992 175546560 180842130 184168880 189430848 192898272 198639292 206676720 207189990 221002656 236788560 241122840 248299115 263319840 275568960 276253320 289347408 297958938 315718080 321497120 331503984 347618761 361684260 368337760 385796544 397278584 413353440 414379980 442005312 446938407 473577120 482245680 496598230 526639680 552506640 578694816 595917876 642994240 663007968 695237522 723368520 736675520 744897345 794557168 826706880 828759960 893876814 947154240 964491360 993196460 1042856283 1105013280 1157389632 1191835752 1326015936 1390475044 1446737040 1489794690 1589114336 1657519920 1738093805 1787753628 1928982720 1986392920 2085712566 2210026560 2234692035 2383671504 2780950088 2893474080 2979589380 3128568849 3178228672 3315039840 3476187610 3575507256 3972785840 4171425132 4469384070 4767343008 5214281415 5561900176 5786948160 5959178760 6257137698 6630079680 6952375220 7151014512 7945571680 8342850264 8938768140 9534686016 10428562830 11123800352 11918357520 12514275396 13904750440 14302029024 15642844245 15891143360 16685700528 17877536280 20857125660 22247600704 23836715040 25028550792 27809500880 28604058048 31285688490 33371401056 35755072560 41714251320 47673430080 50057101584 55619001760 62571376980 66742802112 71510145120 83428502640 100114203168 111238003520 125142753960 143020290240 166857005280 200228406336 250285507920 333714010560 500571015840 1001142031680
- Sum of all divisors σ(n): 3986498999808
- Sum of proper divisors (its aliquot sum) s(n): 2985356968128
- 1001142031680 is an abundant number, because the sum of its proper divisors (2985356968128) is greater than itself. Its abundance is 1984214936448
Bases of 1001142031680
- Binary: 11101001000110001011011100010101010000002
- Hexadecimal: 0xE918B71540
- Base-36: CRX247K0
Squares and roots of 1001142031680
- 1001142031680 squared (10011420316802) is 1002285367596358123622400
- 1001142031680 cubed (10011420316803) is 1003430009238553610052202137157632000
-
The
square root of 1001142031680 is 1000570.8529034813 -
The
cube root of 1001142031680 is 10003.8053240339
Scales and comparisons
How big is 1001142031680?- 1,001,142,031,680 seconds is equal to 31,833 years, 11 weeks, 3 days, 48 minutes.
-
To count from 1 to 1,001,142,031,680 would take you about seventy-nine thousand, five hundred eighty-three 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 1001142031680 cubic inches would be around 833.7 feet tall.
Recreational maths with 1001142031680
- 1001142031680 backwards is 0861302411001
- The number of decimal digits it has is: 13
- The sum of 1001142031680's digits is 27
- More coming soon!
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