31400978008400
31,400,978,008,400 is an even composite number composed of seven prime numbers multiplied together.
31400978008400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 31400978008400:
24 × 52 × 7 × 11 × 132 × 41 × 147137
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 11 × 13 × 13 × 41 × 147137)See below for interesting mathematical facts about the number 31400978008400 from the Numbermatics database.
Names of 31400978008400
- Cardinal: 31400978008400 can be written as Thirty-one trillion, four hundred billion, nine hundred seventy-eight million, eight thousand, four hundred.
Scientific notation
- Scientific notation: 3.14009780084 × 1013
Factors of 31400978008400
Divisors of 31400978008400
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 25 26 28 35 40 41 44 50 52 55 56 65 70 77 80 82 88 91 100 104 110 112 130 140 143 154 164 169 175 176 182 200 205 208 220 260 275 280 286 287 308 325 328 338 350 364 385 400 410 440 451 455 520 533 550 560 572 574 616 650 656 676 700 715 728 770 820 845 880 902 910 1001 1025 1040 1066 1100 1144 1148 1183 1232 1300 1352 1400 1430 1435 1456 1540 1640 1690 1804 1820 1859 1925 2002 2050 2132 2200 2255 2275 2288 2296 2366 2600 2665 2704 2800 2860 2870 3080 3157 3280 3380 3575 3608 3640 3718 3731 3850 4004 4100 4225 4264 4400 4510 4550 4592 4732 5005 5200 5330 5720 5740 5863 5915 6160 6314 6760 6929 7150 7175 7216 7280 7436 7462 7700 8008 8200 8450 8528 9020 9100 9295 9464 10010 10660 11275 11440 11480 11726 11830 12628 13013 13325 13520 13858 14300 14350 14872 14924 15400 15785 16016 16400 16900 18040 18200 18590 18655 18928 20020 21320 22550 22960 23452 23660 25025 25256 26026 26650 27716 28600 28700 29315 29575 29744 29848 30800 31570 33800 34645 36080 36400 37180 37310 40040 41041 42640 45100 46475 46904 47320 48503 50050 50512 52052 53300 55432 57200 57400 58630 59150 59696 63140 65065 67600 69290 74360 74620 76219 78925 80080 82082 90200 92950 93275 93808 94640 97006 100100 104104 106600 110864 114800 117260 118300 126280 130130 138580 146575 147137 148720 149240 152438 157850 164164 173225 180400 185900 186550 194012 200200 205205 208208 213200 234520 236600 242515 252560 260260 277160 293150 294274 298480 304876 315700 325325 328328 346450 371800 373100 381095 388024 400400 410410 469040 473200 485030 520520 533533 554320 586300 588548 609752 631400 650650 656656 692900 735685 743600 746200 762190 776048 820820 970060 1026025 1029959 1041040 1067066 1172600 1177096 1212575 1219504 1262800 1301300 1385800 1471370 1492400 1524380 1618507 1641640 1905475 1912781 1940120 2052050 2059918 2134132 2345200 2354192 2425150 2602600 2667665 2771600 2942740 3048760 3237014 3283280 3678425 3810950 3825562 3880240 4104100 4119836 4268264 4850300 5149795 5205200 5335330 5885480 6032617 6097520 6474028 7356850 7621900 7651124 8092535 8208200 8239672 8536528 9563905 9700600 10299590 10670660 11329549 11770960 12065234 12948056 13338325 13389467 14713700 15243800 15302248 16185070 16416400 16479344 19127810 19401200 20599180 21040591 21341320 22659098 24130468 24866153 25748975 25896112 26676650 26778934 29427400 30163085 30487600 30604496 32370140 38255620 40462675 41198360 42081182 42228319 42682640 45318196 47819525 48260936 49732306 51497950 53353300 53557868 56647745 58854800 60326170 64740280 66358787 66947335 76511240 78424021 80925350 82396720 84162364 84456638 90636392 95639050 96521872 99464612 102995900 105202955 106706600 107115736 113295490 120652340 124330765 129480560 132717574 133894670 147284137 150815425 153022480 156848042 161850700 168324728 168913276 174063071 181272784 191278100 198929224 205991800 210405910 211141595 213413200 214231472 226590980 241304680 248661530 265435148 267789340 273527683 283238725 294568274 301630850 313696084 323701400 331793935 334736675 336649456 337826552 348126142 382556200 392120105 397858448 411983600 420811820 422283190 453181960 464511509 482609360 497323060 526014775 530870296 535578680 547055366 548968147 566477450 589136548 603261700 621653825 627392168 647402800 663587870 669473350 675653104 696252284 736420685 765112400 784240210 841623640 844566380 862664231 870315355 906363920 929023018 994646120 1019512273 1052029550 1055707975 1061740592 1071157360 1094110732 1097936294 1132954900 1178273096 1206523400 1243307650 1254784336 1327175740 1338946700 1367638415 1392504568 1472841370 1568480420 1658969675 1683247280 1689132760 1725328462 1740630710 1858046036 1914693781 1960600525 1989292240 2039024546 2104059100 2111415950 2188221464 2195872588 2265909800 2322557545 2356546192 2413046800 2486615300 2654351480 2677893400 2735276830 2744840735 2785009136 2945682740 3136960840 3317939350 3378265520 3450656924 3481261420 3682103425 3716092072 3829387562 3921201050 4078049092 4208118200 4222831900 4313321155 4351576775 4376442928 4391745176 4531819600 4645115090 4973230600 5097561365 5308702960 5355786800 5470553660 5489681470 5891365480 6038649617 6273921680 6635878700 6838192075 6901313848 6962522840 7136585911 7364206850 7432184144 7658775124 7842402100 8156098184 8416236400 8445663800 8626642310 8703153550 8783490352 9290230180 9573468905 9946461200 10195122730 10941107320 10979362940 11214635003 11612787725 11782730960 12077299234 13271757400 13676384150 13724203675 13802627696 13925045680 14273171822 14728413700 15317550248 15684804200 16312196368 16891327600 17253284620 17406307100 18580460360 19146937810 20390245460 21566605775 21882214640 21958725880 22429270006 23225575450 24154598468 25487806825 26543514800 27352768300 27448407350 28546343644 29456827400 30193248085 30635100496 31369608400 34506569240 34812614200 35682929555 37160920720 38293875620 40780490920 43133211550 43917451760 44858540012 46451150900 47867344525 48309196936 50975613650 54705536600 54896814700 56073175015 57092687288 58913654800 60386496170 69013138480 69625228400 71365859110 76587751240 78502445021 81560981840 86266423100 89717080024 92902301800 95734689050 96618393872 101951227300 109411073200 109793629400 112146350030 114185374576 120772992340 142731718220 150966240425 153175502480 157004890042 172532846200 178414647775 179434160048 185804603600 191469378100 203902454600 219587258800 224292700060 241545984680 280365875075 285463436440 301932480850 314009780084 345065692400 356829295550 382938756200 392512225105 407804909200 448585400120 483091969360 560731750150 570926872880 603864961700 628019560168 713658591100 765877512400 785024450210 897170800240 1121463500300 1207729923400 1256039120336 1427317182200 1570048900420 1962561125525 2242927000600 2415459846800 2854634364400 3140097800840 3925122251050 4485854001200 6280195601680 7850244502100 15700489004200 31400978008400
- Sum of all divisors σ(n): 104332556539008
- Sum of proper divisors (its aliquot sum) s(n): 72931578530608
- 31400978008400 is an abundant number, because the sum of its proper divisors (72931578530608) is greater than itself. Its abundance is 41530600522208
Bases of 31400978008400
- Binary: 1110010001111000111000010001111001001010100002
- Hexadecimal: 0x1C8F1C23C950
- Base-36: B4PERK1U8
Squares and roots of 31400978008400
- 31400978008400 squared (314009780084002) is 986021419884020430470560000
- 31400978008400 cubed (314009780084003) is 30962036921589468015782355823632704000000
-
The
square root of 31400978008400 is 5603657.5563108779 -
The
cube root of 31400978008400 is 31548.6702082921
Scales and comparisons
How big is 31400978008400?- 31,400,978,008,400 seconds is equal to 998,453 years, 50 weeks, 3 days, 11 hours, 13 minutes, 20 seconds.
-
To count from 1 to 31,400,978,008,400 would take you about two million, four hundred ninety-six thousand, one hundred thirty-four 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 31400978008400 cubic inches would be around 2629.1 feet tall.
Recreational maths with 31400978008400
- 31400978008400 backwards is 00480087900413
- 31400978008400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 31400978008400's digits is 44
- More coming soon!
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