45830413749200
45,830,413,749,200 is an even composite number composed of six prime numbers multiplied together.
45830413749200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 45830413749200:
24 × 52 × 293 × 71 × 127 × 521
(2 × 2 × 2 × 2 × 5 × 5 × 29 × 29 × 29 × 71 × 127 × 521)See below for interesting mathematical facts about the number 45830413749200 from the Numbermatics database.
Names of 45830413749200
- Cardinal: 45830413749200 can be written as Forty-five trillion, eight hundred thirty billion, four hundred thirteen million, seven hundred forty-nine thousand, two hundred.
Scientific notation
- Scientific notation: 4.58304137492 × 1013
Factors of 45830413749200
Divisors of 45830413749200
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 29 40 50 58 71 80 100 116 127 142 145 200 232 254 284 290 355 400 464 508 521 568 580 635 710 725 841 1016 1042 1136 1160 1270 1420 1450 1682 1775 2032 2059 2084 2320 2540 2605 2840 2900 3175 3364 3550 3683 4118 4168 4205 5080 5210 5680 5800 6350 6728 7100 7366 8236 8336 8410 9017 10160 10295 10420 11600 12700 13025 13456 14200 14732 15109 16472 16820 18034 18415 20590 20840 21025 24389 25400 26050 28400 29464 30218 32944 33640 36068 36830 36991 41180 41680 42050 45085 48778 50800 51475 52100 58928 59711 60436 66167 67280 72136 73660 73982 75545 82360 84100 90170 92075 97556 102950 104200 106807 119422 120872 121945 132334 144272 147320 147964 151090 164720 168200 180340 184150 184955 195112 205900 208400 213614 225425 238844 241744 243890 261493 264668 294640 295928 298555 302180 330835 336400 360680 368300 369910 377725 390224 411800 427228 438161 450850 477688 487780 522986 529336 534035 591856 597110 604360 609725 661670 721360 736600 739820 755450 823600 854456 876322 901700 924775 955376 975560 1045972 1058672 1068070 1072739 1194220 1208720 1219450 1307465 1323340 1473200 1479640 1492775 1510900 1654175 1708912 1731619 1752644 1803400 1849550 1918843 1951120 2091944 2136140 2145478 2190805 2388440 2438900 2614930 2646680 2670175 2959280 2985550 3021800 3097403 3308350 3463238 3505288 3606800 3699100 3837686 4183888 4272280 4290956 4381610 4697857 4776880 4877800 5229860 5293360 5340350 5363695 5971100 6043600 6194806 6537325 6616700 6926476 7010576 7398200 7583297 7675372 8544560 8581912 8658095 8763220 9395714 9594215 9755600 10459720 10680700 10727390 10954025 11942200 12389612 12706669 13074650 13233400 13852952 14796400 15166594 15350744 15487015 17163824 17316190 17526440 18791428 19188430 20919440 21361400 21454780 21908050 23489285 23884400 24779224 25413338 26149300 26466800 26818475 27705904 30333188 30701488 30974030 31109431 34632380 35052880 37582856 37916485 38376860 42722800 42909560 43290475 43816100 46978570 47971075 49558448 50826676 52298600 53636950 55646447 60666376 61948060 62218862 63533345 69264760 75165712 75832970 76753720 77435075 85819120 86580950 87632200 93957140 95942150 101653352 104597200 107273900 111292894 117446425 121332752 123896120 124437724 127066690 136237853 138529520 151665940 153507440 154870150 155547155 173161900 175264400 187914280 189582425 191884300 203306704 214547800 219915613 222585788 234892850 247792240 248875448 254133380 272475706 278232235 303331880 309740300 311094310 317666725 346323800 375828560 379164850 383768600 429095600 439831226 445171576 469785700 497750896 508266760 544951412 556464470 606663760 619480600 622188620 635333450 681189265 692647600 758329700 767537200 777735775 879662452 890343152 902173499 939571400 1016533520 1089902824 1099578065 1112928940 1238961200 1244377240 1270666900 1362378530 1391161175 1516659400 1555471550 1613746963 1759324904 1804346998 1879142800 2179805648 2199156130 2225857880 2488754480 2541333800 2724757060 2782322350 3033318800 3110943100 3227493926 3405946325 3518649808 3608693996 3950897737 4398312260 4451715760 4510867495 5082667600 5449514120 5497890325 5564644700 6221886200 6454987852 6811892650 7217387992 7901795474 8068734815 8796624520 9021734990 10899028240 10995780650 11129289400 12443772400 12909975704 13623785300 14434775984 15803590948 16137469630 17593249040 18043469980 19754488685 21991561300 22258578800 22554337475 25819951408 27247570600 31607181896 32274939260 36086939960 39508977370 40343674075 43983122600 45108674950 54495141200 63214363792 64549878520 72173879920 79017954740 80687348150 87966245200 90217349900 98772443425 114576034373 129099757040 158035909480 161374696300 180434699800 197544886850 229152068746 316071818960 322749392600 360869399600 395089773700 458304137492 572880171865 645498785200 790179547400 916608274984 1145760343730 1580359094800 1833216549968 2291520687460 2864400859325 4583041374920 5728801718650 9166082749840 11457603437300 22915206874600 45830413749200
- Sum of all divisors σ(n): 116780331294720
- Sum of proper divisors (its aliquot sum) s(n): 70949917545520
- 45830413749200 is an abundant number, because the sum of its proper divisors (70949917545520) is greater than itself. Its abundance is 25119503796320
Bases of 45830413749200
- Binary: 10100110101110101110011000100000001011110100002
- Hexadecimal: 0x29AEB9880BD0
- Base-36: G8U791FWW
Squares and roots of 45830413749200
- 45830413749200 squared (458304137492002) is 2100426824422860400500640000
- 45830413749200 cubed (458304137492003) is 96263430413217955653896750019399488000000
-
The
square root of 45830413749200 is 6769816.3748509457 -
The
cube root of 45830413749200 is 35786.3929200939
Scales and comparisons
How big is 45830413749200?- 45,830,413,749,200 seconds is equal to 1,457,265 years, 20 weeks, 3 days, 13 hours, 53 minutes, 20 seconds.
-
To count from 1 to 45,830,413,749,200 would take you about three million, six hundred forty-three thousand, one hundred sixty-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 45830413749200 cubic inches would be around 2982.2 feet tall.
Recreational maths with 45830413749200
- 45830413749200 backwards is 00294731403854
- 45830413749200 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 45830413749200's digits is 50
- More coming soon!
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