31431317808197744640
31,431,317,808,197,744,640 is an even composite number composed of six prime numbers multiplied together.
31431317808197744640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 31431317808197744640:
211 × 32 × 5 × 72 × 193 × 1014759769
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 19 × 19 × 19 × 1014759769)See below for interesting mathematical facts about the number 31431317808197744640 from the Numbermatics database.
Names of 31431317808197744640
- Cardinal: 31431317808197744640 can be written as Thirty-one quintillion, four hundred thirty-one quadrillion, three hundred seventeen trillion, eight hundred eight billion, one hundred ninety-seven million, seven hundred forty-four thousand, six hundred forty.
Scientific notation
- Scientific notation: 3.143131780819774464 × 1019
Factors of 31431317808197744640
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 20
- Sum of prime factors: 1014759805
Divisors of 31431317808197744640
- Number of divisors d(n): 1728
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 28 30 32 35 36 38 40 42 45 48 49 56 57 60 63 64 70 72 76 80 84 90 95 96 98 105 112 114 120 126 128 133 140 144 147 152 160 168 171 180 190 192 196 210 224 228 240 245 252 256 266 280 285 288 294 304 315 320 336 342 360 361 380 384 392 399 420 441 448 456 480 490 504 512 532 560 570 576 588 608 630 640 665 672 684 720 722 735 760 768 784 798 840 855 882 896 912 931 960 980 1008 1024 1064 1083 1120 1140 1152 1176 1197 1216 1260 1280 1330 1344 1368 1440 1444 1470 1520 1536 1568 1596 1680 1710 1764 1792 1805 1824 1862 1920 1960 1995 2016 2048 2128 2166 2205 2240 2280 2304 2352 2394 2432 2520 2527 2560 2660 2688 2736 2793 2880 2888 2940 3040 3072 3136 3192 3249 3360 3420 3528 3584 3610 3648 3724 3840 3920 3990 4032 4256 4332 4410 4480 4560 4608 4655 4704 4788 4864 5040 5054 5120 5320 5376 5415 5472 5586 5760 5776 5880 5985 6080 6144 6272 6384 6498 6720 6840 6859 7056 7168 7220 7296 7448 7581 7680 7840 7980 8064 8379 8512 8664 8820 8960 9120 9216 9310 9408 9576 9728 10080 10108 10240 10640 10752 10830 10944 11172 11520 11552 11760 11970 12160 12544 12635 12768 12996 13440 13680 13718 13965 14112 14336 14440 14592 14896 15162 15360 15680 15960 16128 16245 16758 17024 17328 17640 17689 17920 18240 18432 18620 18816 19152 19456 20160 20216 20577 21280 21504 21660 21888 22344 22743 23040 23104 23520 23940 24320 25088 25270 25536 25992 26880 27360 27436 27930 28224 28880 29184 29792 30324 30720 31360 31920 32256 32490 33516 34048 34295 34656 35280 35378 35840 36480 37240 37632 37905 38304 38912 40320 40432 41154 41895 42560 43008 43320 43776 44688 45486 46080 46208 47040 47880 48013 48640 50176 50540 51072 51984 53067 53760 54720 54872 55860 56448 57760 58368 59584 60648 61731 62720 63840 64512 64980 67032 68096 68590 69312 70560 70756 71680 72960 74480 75264 75810 76608 80640 80864 82308 83790 85120 86640 87552 88445 89376 90972 92160 92416 94080 95760 96026 97280 100352 101080 102144 102885 103968 106134 107520 109440 109744 111720 112896 113715 115520 116736 119168 121296 123462 125440 127680 129024 129960 134064 136192 137180 138624 141120 141512 144039 145920 148960 150528 151620 153216 159201 161280 161728 164616 167580 170240 173280 175104 176890 178752 181944 184832 188160 191520 192052 194560 202160 204288 205770 207936 212268 215040 218880 219488 223440 225792 227430 231040 238336 240065 242592 246924 250880 255360 259920 265335 268128 272384 274360 277248 282240 283024 288078 291840 297920 301056 303240 306432 308655 318402 322560 323456 329232 335160 336091 340480 346560 350208 353780 357504 363888 369664 376320 383040 384104 404320 408576 411540 415872 424536 432117 437760 438976 446880 451584 454860 462080 476672 480130 485184 493848 501760 510720 519840 530670 536256 548720 554496 564480 566048 576156 583680 595840 606480 612864 617310 636804 645120 646912 658464 670320 672182 680960 693120 707560 715008 720195 727776 739328 752640 766080 768208 796005 808640 817152 823080 831744 849072 864234 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1077005133230460 1088342029369728 1113637960891360 1125360465742848 1145623188810240 1148805475445824 1169319858935928 1209268921521920 1230863009406240 1243819462136832 1252842706002780 1292406159876552 1312920543366656 1336365553069632 1360427536712160 1364206502091916 1382021624596480 1406700582178560 1436006844307280 1451122705826304 1461649823669910 1477035611287488 1527497585080320 1554774327671040 1559093145247904 1615507699845690 1641150679208320 1670456941337040 1688040698614272 1705258127614895 1723208213168736 1753979788403892 1776884945909760 1781820737426176 1813903382282880 1846294514109360 1875600776238080 1934830274435072 1948866431559880 1969380815049984 2004548329604448 2046309753137874 2073032436894720 2110050873267840 2154010266460920 2176684058739456 2192474735504865 2227275921782720 2250720931485696 2291246377620480 2297610950891648 2338639717871856 2418537843043840 2461726018812480 2487638924273664 2505685412005560 2584812319753104 2625841086733312 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7015919153615568 7127282949704704 7255613529131520 7385178056437440 7795465726239520 7877523260199936 8018193318417792 8185239012551496 8440203493071360 8616041065843680 8706736234957824 8769898942019460 8909103687130880 9190443803566592 9354558871487424 9674151372175360 9846904075249920 10022741648022240 10231548765689370 10339249279012416 10690924424557056 10883420293697280 10913652016735328 11253604657428480 11488054754458240 11693198589359280 11816284890299904 12277858518827244 12438194621368320 12472745161983232 12924061598765520 13129205433666560 13363655530696320 13642065020919160 13785665705349888 14031838307231136 14254565899409408 14511227058263040 14770356112874880 15347323148534055 15590931452479040 15755046520399872 16036386636835584 16370478025102992 16880406986142720 17232082131687360 17413472469915648 17539797884038920 17818207374261760 18380887607133184 18709117742974848 19693808150499840 20045483296044480 20463097531378740 20678498558024832 21381848849114112 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87067362349578240 87309216133882624 91904438035665920 93545588714874240 98222868150617952 99781961295865856 103392492790124160 106909244245570560 109136520167353280 110285325642799104 112254706457849088 118162848902999040 122778585188272440 124727451619832320 128291093094684672 130963824200823936 137856657053498880 140318383072311360 149672941943798784 160363866368355840 163704780251029920 165427988464198656 174618432267765248 183808876071331840 187091177429748480 196445736301235904 206784985580248320 213818488491141120 218273040334706560 224509412915698176 236325697805998080 245557170376544880 249454903239664640 261927648401647872 275713314106997760 280636766144622720 299345883887597568 320727732736711680 327409560502059840 330855976928397312 349236864535530496 374182354859496960 392891472602471808 413569971160496640 436546080669413120 449018825831396352 491114340753089760 498909806479329280 523855296803295744 551426628213995520 561273532289245440 641455465473423360 654819121004119680 698473729071060992 748364709718993920 785782945204943616 827139942320993280 873092161338826240 898037651662792704 982228681506179520 1047710593606591488 1122547064578490880 1309638242008239360 1496729419437987840 1571565890409887232 1654279884641986560 1746184322677652480 1964457363012359040 2095421187213182976 2245094129156981760 2619276484016478720 3143131780819774464 3492368645355304960 3928914726024718080 4490188258313963520 5238552968032957440 6286263561639548928 7857829452049436160 10477105936065914880 15715658904098872320 31431317808197744640
- Sum of all divisors σ(n): 133759664876240676000
- Sum of proper divisors (its aliquot sum) s(n): 102328347068042931360
- 31431317808197744640 is an abundant number, because the sum of its proper divisors (102328347068042931360) is greater than itself. Its abundance is 70897029259845186720
Bases of 31431317808197744640
- Binary: 110110100001100100111100100000100001011000000100100111000000000002
- Hexadecimal: 0x1B43279042C093800
- Base-36: 6MSTC9RLK35S0
Squares and roots of 31431317808197744640
- 31431317808197744640 squared (314313178081977446402) is 987927739159928674113376201182648729600
- 31431317808197744640 cubed (314313178081977446403) is 31051870741070002509795784001323804571372487164081209344000
-
The
square root of 31431317808197744640 is 5606364045.2790563179 -
The
cube root of 31431317808197744640 is 3155882.7771170783
Scales and comparisons
How big is 31431317808197744640?- 31,431,317,808,197,744,640 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 31,431,317,808,197,744,640 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 31431317808197744640 cubic inches would be around 262990.2 feet tall.
Recreational maths with 31431317808197744640
- 31431317808197744640 backwards is 04644779180871313413
- The number of decimal digits it has is: 20
- The sum of 31431317808197744640's digits is 81
- More coming soon!
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The information we have on file for 31431317808197744640 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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