401199138417220
401,199,138,417,220 is an even composite number composed of seven prime numbers multiplied together.
What does the number 401199138417220 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 648 divisors.
401199138417220 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 401199138417220:
22 × 5 × 112 × 13 × 17 × 612 × 4492
(2 × 2 × 5 × 11 × 11 × 13 × 17 × 61 × 61 × 449 × 449)See below for interesting mathematical facts about the number 401199138417220 from the Numbermatics database.
Names of 401199138417220
- Cardinal: 401199138417220 can be written as Four hundred one trillion, one hundred ninety-nine billion, one hundred thirty-eight million, four hundred seventeen thousand, two hundred twenty.
Scientific notation
- Scientific notation: 4.0119913841722 × 1014
Factors of 401199138417220
Divisors of 401199138417220
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 4 5 10 11 13 17 20 22 26 34 44 52 55 61 65 68 85 110 121 122 130 143 170 187 220 221 242 244 260 286 305 340 374 442 449 484 572 605 610 671 715 748 793 884 898 935 1037 1105 1210 1220 1342 1430 1573 1586 1796 1870 2057 2074 2210 2245 2420 2431 2684 2860 3146 3172 3355 3721 3740 3965 4114 4148 4420 4490 4862 4939 5185 5837 6292 6710 7381 7442 7633 7865 7930 8228 8723 8980 9724 9878 10285 10370 11407 11674 12155 13420 13481 14762 14884 15266 15730 15860 17446 18605 19756 20570 20740 22814 23348 24310 24695 26741 26962 27389 29185 29524 30532 31460 34892 36905 37210 38165 40931 41140 43615 45628 48373 48620 49390 53482 53924 54329 54778 57035 58370 63257 64207 67405 73810 74420 76330 81862 83963 87230 95953 96746 98780 99229 106964 108658 109556 114070 116740 125477 126514 128414 133705 134810 136945 147620 148291 152660 163724 167926 174460 191906 193492 198458 201601 204655 217316 228140 241865 250954 253028 256828 267410 269620 271645 273890 296582 301279 316285 321035 335852 356057 383812 396916 403202 409310 419815 450241 465613 479765 483730 496145 501908 532103 534820 543290 547780 593164 602558 627385 632570 642070 695827 706277 712114 741455 806404 818620 822341 839630 900482 923593 931226 959530 967460 992290 1008005 1064206 1086580 1091519 1205116 1254770 1265140 1284140 1391654 1412554 1424228 1482910 1506395 1631201 1644682 1670729 1679260 1780285 1800964 1847186 1862452 1919060 1984580 2016010 2128412 2183038 2217611 2251205 2328065 2509540 2620813 2660515 2783308 2825108 2965820 3012790 3262402 3289364 3314069 3341458 3427217 3479135 3531385 3560570 3694372 3916627 4032020 4111705 4366076 4435222 4502410 4617965 4656130 5121743 5241626 5321030 5457595 5853133 6025580 6052969 6524804 6628138 6682916 6854434 6958270 7062770 7121140 7654097 7833254 8156005 8223410 8353645 8870444 9004820 9045751 9235930 9312260 10243486 10483252 10642060 10915190 11088055 11706266 12006709 12105938 12297661 13104065 13256276 13708868 13916540 14125540 15308194 15666508 16312010 16446820 16570345 16707290 17136085 18091502 18378019 18471860 19583135 20486972 21719477 21830380 22176110 23412532 24013418 24211876 24393721 24595322 25608715 26208130 28402393 28828943 29265665 30264845 30616388 32624020 33140690 33414580 34272170 36183004 36756038 37699387 38270485 39166270 43082897 43438954 44352220 44553821 45228755 48026836 48787442 49190644 51217430 52416260 56339173 56804786 57657886 58531330 60033545 60529690 61488305 66281380 66582659 68544340 73512076 75398774 76540970 78332540 86165794 86877908 89107642 90457510 91890095 97574884 99503261 102434860 108597385 112678346 113609572 115315772 117062660 120067090 121059380 121968605 122976610 133165318 135274271 142011965 144144715 150797548 153081940 159869593 172331588 178215284 180915020 183780190 188496935 199006522 202158209 209060237 215414485 217194770 222769105 225356692 238914247 240134180 243937210 245953220 266330636 270548542 281695865 284023930 288289430 312426323 317118373 319739186 332913295 367560380 369231109 376993870 398013044 404316418 414693257 418120474 430828970 434389540 445538210 477828494 487874420 490092031 497516305 541097084 563391730 568047860 576578860 624852646 634236746 639478372 665826590 676371355 732409249 738462218 750157321 753987740 799347965 808632836 829386514 836240948 861657940 891076420 955656988 980184062 995032610 1010791045 1045301185 1126783460 1194571235 1249705292 1268473492 1331653180 1352742710 1464818498 1476924436 1488016981 1500314642 1562131615 1585591865 1598695930 1658773028 1758565523 1846155545 1960368124 1990065220 2021582090 2073466285 2090602370 2299662607 2389142470 2450460155 2628056717 2705485420 2717783081 2929636996 2976033962 3000629284 3124263230 3171183730 3197391860 3436689553 3517131046 3662046245 3692311090 3750786605 4043164180 4061542199 4146932570 4181204740 4599325214 4778284940 4900920310 5256113434 5391012341 5435566162 5952067924 6248526460 6342367460 6873379106 7034262092 7324092490 7384622180 7440084905 7501573210 8123084398 8251730531 8293865140 8792827615 9198650428 9752045173 9801840620 10512226868 10782024682 10871132324 11498313035 12752674457 13140283585 13588915405 13746758212 14648184980 14880169810 15003146420 16246168796 16503461062 17183447765 17585655230 19344220753 19504090346 20307710995 21564049364 22996626070 25296288677 25505348914 26280567170 26955061705 27177830810 29760339620 29895613891 33006922124 34366895530 35171310460 38688441506 39008180692 40615421990 41258652655 44676964189 45993252140 48760225865 50592577354 51010697828 52561134340 53910123410 54355661620 59791227782 63763372285 68733791060 77376883012 81230843980 82517305310 89353928378 90769035841 96721103765 97520451730 101185154708 107272496903 107820246820 119582455564 126481443385 127526744570 140279419027 149478069455 165034610620 165784767941 178707856756 181538071682 193442207530 195040903460 214544993806 223384820945 252962886770 255053489140 280558838054 298956138910 328851752801 331569535882 363076143364 386884415060 429089987612 446769641890 453845179205 505925773540 536362484515 561117676108 597912277820 657703505602 663139071764 701397095135 828923839705 893539283780 907690358410 1072724969030 1179997465933 1315407011204 1402794190270 1543073609297 1644258764005 1657847679410 1815380716820 1823632447351 2145449938060 2359994931866 2805588380540 3086147218594 3288517528010 3315695358820 3647264894702 4719989863732 5899987329665 6172294437188 6577035056020 7294529789404 7715368046485 9118162236755 11799974659330 15430736092970 18236324473510 20059956920861 23599949318660 30861472185940 36472648947020 40119913841722 80239827683444 100299784604305 200599569208610 401199138417220
- Sum of all divisors σ(n): 1075966667933976
- Sum of proper divisors (its aliquot sum) s(n): 674767529516756
- 401199138417220 is an abundant number, because the sum of its proper divisors (674767529516756) is greater than itself. Its abundance is 273568391099536
Bases of 401199138417220
- Binary: 10110110011100011011101000010000100101010010001002
- Hexadecimal: 0x16CE374212A44
- Base-36: 3Y7OC8CX1G
Squares and roots of 401199138417220
- 401199138417220 squared (4011991384172202) is 160960748666719652886792528400
- 401199138417220 cubed (4011991384172203) is 64577313684078617584569147556348097899048000
-
The
square root of 401199138417220 is 20029956.0263426439 -
The
cube root of 401199138417220 is 73754.1842485733
Scales and comparisons
How big is 401199138417220?- 401,199,138,417,220 seconds is equal to 12,756,891 years, 31 weeks, 5 days, 11 hours, 53 minutes, 40 seconds.
-
To count from 1 to 401,199,138,417,220 would take you about thirty-one million, eight hundred ninety-two thousand, two hundred twenty-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 401199138417220 cubic inches would be around 6146.2 feet tall.
Recreational maths with 401199138417220
- 401199138417220 backwards is 022714831991104
- 401199138417220 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 401199138417220's digits is 52
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 401199138417220 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
APA style:
Numbermatics. (2024). Number 401199138417220 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/401199138417220/
Chicago style:
Numbermatics. 2024. "Number 401199138417220 - Facts about the integer". https://numbermatics.com/n/401199138417220/
The information we have on file for 401199138417220 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!
Keywords: Divisors of 401199138417220, math, Factors of 401199138417220, curriculum, school, college, exams, university, Prime factorization of 401199138417220, STEM, science, technology, engineering, physics, economics, calculator, four hundred one trillion, one hundred ninety-nine billion, one hundred thirty-eight million, four hundred seventeen thousand, two hundred twenty.