400448142000
400,448,142,000 is an even composite number composed of seven prime numbers multiplied together.
400448142000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 400448142000:
24 × 32 × 53 × 19 × 31 × 107 × 353
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 19 × 31 × 107 × 353)See below for interesting mathematical facts about the number 400448142000 from the Numbermatics database.
Names of 400448142000
- Cardinal: 400448142000 can be written as Four hundred billion, four hundred forty-eight million, one hundred forty-two thousand.
Scientific notation
- Scientific notation: 4.00448142 × 1011
Factors of 400448142000
Divisors of 400448142000
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 30 31 36 38 40 45 48 50 57 60 62 72 75 76 80 90 93 95 100 107 114 120 124 125 144 150 152 155 171 180 186 190 200 214 225 228 240 248 250 279 285 300 304 310 321 342 353 360 372 375 380 400 428 450 456 465 475 496 500 535 558 570 589 600 620 642 684 706 720 744 750 760 775 855 856 900 912 930 950 963 1000 1059 1070 1116 1125 1140 1178 1200 1240 1284 1368 1395 1412 1425 1488 1500 1520 1550 1605 1710 1712 1765 1767 1800 1860 1900 1926 2000 2033 2118 2140 2232 2250 2280 2325 2356 2375 2480 2568 2675 2736 2790 2824 2850 2945 3000 3100 3177 3210 3317 3420 3530 3534 3600 3720 3800 3852 3875 4066 4236 4275 4280 4464 4500 4560 4650 4712 4750 4815 5136 5295 5301 5350 5580 5648 5700 5890 6000 6099 6200 6354 6420 6634 6707 6840 6975 7060 7068 7125 7440 7600 7704 7750 8025 8132 8472 8550 8560 8825 8835 9000 9300 9424 9500 9630 9951 10165 10590 10602 10700 10943 11160 11400 11625 11780 12198 12400 12708 12840 13268 13375 13414 13680 13950 14120 14136 14250 14725 15408 15500 15885 16050 16264 16585 16944 17100 17650 17670 18000 18297 18600 19000 19260 19902 20121 20330 21180 21204 21375 21400 21886 22320 22800 23250 23560 24075 24396 25416 25680 26475 26505 26536 26750 26828 27900 28240 28272 28500 29450 29853 30495 31000 31770 32100 32528 32829 33170 33535 34200 34875 35300 35340 36594 37200 37771 38000 38520 39804 40125 40242 40660 42360 42408 42750 42800 43772 44125 44175 46500 47120 48150 48792 49755 50825 50832 52950 53010 53072 53500 53656 54715 55800 57000 58900 59706 60363 60990 62000 63023 63540 64200 65658 66340 67070 68400 69750 70600 70680 73188 73625 75542 77040 79425 79608 80250 80484 81320 82925 84720 84816 85500 87544 88250 88350 91485 93000 96300 97584 98487 99510 100605 101650 105900 106020 107000 107312 109430 111600 113313 114000 117800 119412 120375 120726 121980 126046 127080 128400 131316 132375 132525 132680 134140 139500 141200 141360 146376 147250 149265 151084 152475 158850 159216 160500 160968 162640 164145 165850 167675 171000 175088 176500 176700 182970 186000 188855 189069 192600 196974 199020 201210 203300 207917 211800 212040 214000 218860 220875 226626 235600 238824 240750 241452 243960 248775 252092 254125 254160 262632 264750 265050 265360 268280 273575 279000 292752 294500 298530 301815 302168 304950 315115 317700 321000 321936 328290 331700 335350 339939 342000 353000 353400 365940 377710 378138 385200 393948 397125 398040 402420 406600 414625 415834 423600 424080 437720 441750 453252 457425 477648 481500 482904 487920 492435 497550 503025 504184 508250 525264 529500 530100 536560 547150 558000 566565 567207 589000 597060 603630 604336 609900 623751 630230 635400 642000 656580 662625 663400 670700 679878 706000 706800 717649 731880 746325 755420 756276 762375 787896 794250 796080 804840 813200 820725 829250 831668 838375 875440 883500 906504 914850 944275 945345 963000 965808 984870 995100 1006050 1008368 1016500 1039585 1059000 1060200 1094300 1133130 1134414 1170901 1178000 1194120 1207260 1219800 1243875 1247502 1260460 1270800 1313160 1325250 1326800 1341400 1359756 1367875 1435298 1463760 1492650 1509075 1510840 1512552 1524750 1575575 1575792 1588500 1609680 1641450 1658500 1663336 1676750 1699695 1767000 1813008 1829700 1871253 1888550 1890690 1926000 1969740 1990200 2012100 2033000 2079170 2118000 2120400 2152947 2188600 2266260 2268828 2287125 2341802 2388240 2414520 2439600 2462175 2487750 2495004 2515125 2520920 2626320 2650500 2682800 2719512 2735750 2832825 2836035 2870596 2985300 3018150 3021680 3025104 3049500 3118755 3151150 3177000 3282900 3317000 3326672 3353500 3399390 3512703 3534000 3588245 3659400 3731625 3742506 3777100 3781380 3939480 3980400 4024200 4066000 4103625 4158340 4305894 4377200 4532520 4537656 4574250 4683604 4721375 4726725 4829040 4924350 4975500 4990008 5030250 5041840 5197925 5301000 5439024 5471500 5665650 5672070 5741192 5854505 5970600 6036300 6099000 6237510 6302300 6354000 6458841 6565800 6634000 6707000 6798780 7025406 7176490 7318800 7463250 7485012 7545375 7554200 7562760 7877875 7878960 8048400 8207250 8316680 8498475 8611788 9065040 9075312 9148500 9356265 9367208 9442750 9453450 9848700 9951000 9980016 10060500 10395850 10538109 10602000 10764735 10943000 11331300 11344140 11482384 11709010 11941200 12072600 12198000 12310875 12475020 12604600 12917682 13131600 13414000 13597560 14050812 14164125 14180175 14352980 14926500 14970024 15090750 15108400 15125520 15593775 15755750 16414500 16633360 16996950 17223576 17563515 17941225 18297000 18712530 18734416 18885500 18906900 19697400 19902000 20121000 20791700 21076218 21529470 21886000 22247119 22662600 22688280 23418020 23633625 24145200 24621750 24950040 25209200 25835364 25989625 27195120 28101624 28328250 28360350 28705960 29272525 29853000 29940048 30181500 31187550 31511500 32294205 32829000 33993900 34447152 35127030 35882450 36594000 37425060 37771000 37813800 39394800 40242000 41583400 42152436 42492375 43058940 44494238 45325200 45376560 46781325 46836040 47267250 49243500 49900080 51670728 51979250 52690545 53823675 56203248 56656500 56720700 57411920 58545050 59706000 60363000 62375100 63023000 64588410 65658000 66741357 67987800 70254060 70900875 71764900 74850120 75542000 75627600 77968875 83166800 84304872 84984750 86117880 87817575 88988476 89706125 93562650 93672080 94534500 98487000 103341456 103958500 105381090 107647350 111235595 113313000 113441400 117090100 120726000 124750200 126046000 129176820 133482714 135975600 140508120 141801750 143529800 146362625 149700240 155937750 161471025 168609744 169969500 172235760 175635150 177976952 179412250 187125300 189069000 196974000 200224071 207917000 210762180 215294700 222471190 226626000 226882800 233906625 234180200 249500400 258353640 263452725 266965428 269118375 281016240 283603500 287059600 292725250 311875500 322942050 333706785 339939000 351270300 355953904 358824500 374250600 378138000 400448142 415834000 421524360 430589400 439087875 444942380 467813250 468360400 516707280 526905450 533930856 538236750 556177975 567207000 585450500 623751000 645884100 667413570 679878000 702540600 717649000 748501200 800896284 807355125 843048720 861178800 878175750 889884760 935626500 1001120355 1053810900 1067861712 1076473500 1112355950 1134414000 1170901000 1247502000 1291768200 1317263625 1334827140 1405081200 1435298000 1601792568 1614710250 1668533925 1756351500 1779769520 1871253000 2002240710 2107621800 2152947000 2224711900 2341802000 2583536400 2634527250 2669654280 2780889875 3203585136 3229420500 3337067850 3512703000 3742506000 4004481420 4215243600 4305894000 4449423800 5005601775 5269054500 5339308560 5561779750 6458841000 6674135700 7025406000 8008962840 8342669625 8898847600 10011203550 10538109000 11123559500 12917682000 13348271400 16017925680 16685339250 20022407100 21076218000 22247119000 25028008875 26696542800 33370678500 40044814200 44494238000 50056017750 66741357000 80089628400 100112035500 133482714000 200224071000 400448142000
- Sum of all divisors σ(n): 1538284400640
- Sum of proper divisors (its aliquot sum) s(n): 1137836258640
- 400448142000 is an abundant number, because the sum of its proper divisors (1137836258640) is greater than itself. Its abundance is 737388116640
Bases of 400448142000
- Binary: 1011101001111001001000110111010101100002
- Hexadecimal: 0x5D3C91BAB0
- Base-36: 53YOHFW0
Squares and roots of 400448142000
- 400448142000 squared (4004481420002) is 160358714431252164000000
- 400448142000 cubed (4004481420003) is 64215349247503515807279288000000000
-
The
square root of 400448142000 is 632809.7202161167 -
The
cube root of 400448142000 is 7370.8135857309
Scales and comparisons
How big is 400448142000?- 400,448,142,000 seconds is equal to 12,733 years, 4 days, 11 hours.
-
To count from 1 to 400,448,142,000 would take you about twenty-five thousand, four hundred sixty-six 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 400448142000 cubic inches would be around 614.2 feet tall.
Recreational maths with 400448142000
- 400448142000 backwards is 000241844004
- The number of decimal digits it has is: 12
- The sum of 400448142000's digits is 27
- 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 400448142000 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
APA style:
Numbermatics. (2024). Number 400448142000 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/400448142000/
Chicago style:
Numbermatics. 2024. "Number 400448142000 - Facts about the integer". https://numbermatics.com/n/400448142000/
The information we have on file for 400448142000 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 400448142000, math, Factors of 400448142000, curriculum, school, college, exams, university, Prime factorization of 400448142000, STEM, science, technology, engineering, physics, economics, calculator, four hundred billion, four hundred forty-eight million, one hundred forty-two thousand.