401426946951680
401,426,946,951,680 is an even composite number composed of six prime numbers multiplied together.
What does the number 401426946951680 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 800 divisors.
401426946951680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred divisors.
Prime factorization of 401426946951680:
29 × 5 × 13 × 314 × 37 × 353
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 13 × 31 × 31 × 31 × 31 × 37 × 353)See below for interesting mathematical facts about the number 401426946951680 from the Numbermatics database.
Names of 401426946951680
- Cardinal: 401426946951680 can be written as Four hundred one trillion, four hundred twenty-six billion, nine hundred forty-six million, nine hundred fifty-one thousand, six hundred eighty.
Scientific notation
- Scientific notation: 4.0142694695168 × 1014
Factors of 401426946951680
Divisors of 401426946951680
- Number of divisors d(n): 800
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 26 31 32 37 40 52 62 64 65 74 80 104 124 128 130 148 155 160 185 208 248 256 260 296 310 320 353 370 403 416 481 496 512 520 592 620 640 706 740 806 832 961 962 992 1040 1147 1184 1240 1280 1412 1480 1612 1664 1765 1922 1924 1984 2015 2080 2294 2368 2405 2480 2560 2824 2960 3224 3328 3530 3844 3848 3968 4030 4160 4588 4589 4736 4805 4810 4960 5648 5735 5920 6448 6656 7060 7688 7696 7936 8060 8320 9176 9178 9472 9610 9620 9920 10943 11296 11470 11840 12493 12896 13061 14120 14911 15376 15392 15872 16120 16640 18352 18356 18944 19220 19240 19840 21886 22592 22940 22945 23680 24986 25792 26122 28240 29791 29822 30752 30784 32240 33280 35557 36704 36712 38440 38480 39680 43772 45184 45880 45890 47360 49972 51584 52244 54715 56480 59582 59644 61504 61568 62465 64480 65305 71114 73408 73424 74555 76880 76960 79360 87544 90368 91760 91780 94720 99944 103168 104488 109430 112960 119164 119288 123008 123136 124930 128960 130610 142228 142259 146816 146848 148955 149110 153760 153920 169793 175088 177785 180736 183520 183560 199888 206336 208976 218860 225920 238328 238576 246016 246272 249860 257920 261220 284456 284518 293632 293696 297910 298220 307520 307840 339233 339586 350176 355570 367040 367120 387283 399776 404891 417952 437720 451840 462241 476656 477152 492032 499720 515840 522440 568912 569036 587264 587392 595820 596440 615040 615680 678466 679172 700352 711140 711295 734080 734240 774566 799552 809782 835904 848965 875440 903680 923521 924482 953312 954304 999440 1031680 1044880 1102267 1137824 1138072 1174784 1191640 1192880 1230080 1231360 1356932 1358344 1400704 1422280 1422590 1468160 1468480 1549132 1599104 1619564 1671808 1696165 1697930 1750880 1847042 1848964 1906624 1908608 1936415 1998880 2024455 2089760 2204534 2275648 2276144 2311205 2349568 2383280 2385760 2460160 2713864 2716688 2801408 2844560 2845180 2936320 2936960 3098264 3198208 3239128 3343616 3392330 3395860 3501760 3694084 3697928 3813248 3817216 3872830 3997760 4048910 4179520 4409068 4410029 4551296 4552288 4617605 4622410 4766560 4771520 5263583 5427728 5433376 5511335 5602816 5689120 5690360 5873920 6196528 6396416 6478256 6687232 6784660 6791720 7003520 7388168 7395856 7626496 7634432 7745660 7995520 8097820 8359040 8818136 8820058 9102592 9104576 9235210 9244820 9533120 9543040 10516223 10527166 10855456 10866752 11022670 11378240 11380720 11747840 12005773 12393056 12551621 12956512 13569320 13583440 14007040 14329471 14776336 14791712 15252992 15491320 15991040 16195640 16718080 17636272 17640116 18205184 18209152 18470420 18489640 19066240 19086080 21032446 21054332 21710912 21733504 22045340 22050145 22756480 22761440 24011546 24786112 25103242 25913024 26317915 27138640 27166880 28014080 28658942 29552672 29583424 30982640 31982080 32391280 33436160 34170277 35272544 35280232 36418304 36940840 36979280 38132480 38172160 42064892 42108664 43421824 43467008 44090680 44100290 45512960 45522880 48023092 49572224 50206484 51826048 52581115 52635830 54277280 54333760 57317884 59105344 59166848 60028865 61965280 62758105 64782560 68340554 70545088 70560464 71647355 72836608 73881680 73958560 76264960 84129784 84217328 86843648 86934016 88181360 88200580 91025920 91045760 96046184 99144448 100412968 103652096 105162230 105271660 108554560 108667520 114635768 118210688 118333696 120057730 123930560 125516210 129565120 136681108 136710899 141090176 141120928 143294710 147763360 147917120 163171073 168259568 168434656 170851385 173687296 176362720 176401160 182091520 192092368 198288896 200825936 207304192 210324460 210543320 217109120 217335040 229271536 236421376 236667392 240115460 247861120 251032420 259130240 273362216 273421798 282180352 282241856 286589420 295526720 295834240 326002913 326342146 336519136 336869312 341702770 352725440 352802320 364183040 384184736 389100251 401651872 420648920 421086640 434218240 434670080 444213601 458543072 472842752 480230920 495722240 502064840 518260480 546724432 546843596 564360704 564483712 573178840 591053440 591668480 652005826 652684292 673038272 673738624 683405540 683554495 705450880 705604640 768369472 778200502 803303744 815855365 841297840 842173280 868436480 888427202 917086144 960461840 991444480 1004129680 1036520960 1093448864 1093687192 1128967424 1146357680 1182106880 1183336960 1304011652 1305368584 1346076544 1347477248 1366811080 1367108990 1410901760 1411209280 1536738944 1556401004 1606607488 1630014565 1631710730 1682595680 1684346560 1776854404 1834172288 1920923680 1945501255 2008259360 2186897728 2187374384 2221068005 2257934848 2292715360 2364213760 2608023304 2610737168 2692153088 2694954496 2733622160 2734217980 2821803520 2822418560 3073477888 3112802008 3213214976 3260029130 3263421460 3365191360 3368693120 3553708808 3668344576 3841847360 3891002510 4016518720 4238037869 4373795456 4374748768 4442136010 4585430720 5058303263 5216046608 5221474336 5384306176 5467244320 5468435960 5644837120 6146955776 6225604016 6426429952 6520058260 6526842920 6730382720 6737386240 7107417616 7336689152 7683694720 7782005020 8033037440 8476075738 8747590912 8749497536 8884272020 9170861440 10116606526 10432093216 10442948672 10934488640 10936871920 11289674240 12062107781 12451208032 13040116520 13053685840 13460765440 13474772480 14214835232 15367389440 15564010040 16066074880 16952151476 17495181824 17498995072 17768544040 18341722880 20233213052 20864186432 20885897344 21190189345 21868977280 21873743840 24124215562 24902416064 25291516315 26080233040 26107371680 26921530880 28429670464 30734778880 31128020080 32132149760 33904302952 34997990144 35537088080 36683445760 40466426104 41728372864 41771794688 42380378690 43737954560 43747487680 48248431124 49804832128 50583032630 52160466080 52214743360 56859340928 60310538905 62256040160 67808605904 69995980288 71074176160 80932852208 83456745728 83543589376 84760757380 87475909120 87494975360 96496862248 99609664256 101166065260 104320932160 104429486720 113718681856 120621077810 124512080320 135617211808 142148352320 156807401153 161865704416 166913491456 169521514760 174989950720 192993724496 199219328512 202332130520 208641864320 208858973440 227437363712 241242155620 249024160640 271234423616 284296704640 313614802306 323731408832 339043029520 349979901440 385987448992 404664261040 417283728640 417717946880 482484311240 498048321280 542468847232 568593409280 627229604612 647462817664 678086059040 771974897984 784037005765 809328522080 834567457280 964968622480 996096642560 1084937694464 1137186818560 1254459209224 1294925635328 1356172118080 1543949795968 1568074011530 1618657044160 1929937244960 2169875388928 2508918418448 2589851270656 2712344236160 3087899591936 3136148023060 3237314088320 3859874489920 5017836836896 5424688472320 6175799183872 6272296046120 6474628176640 7719748979840 10035673673792 10849376944640 12544592092240 12949256353280 15439497959680 20071347347584 25089184184480 30878995919360 40142694695168 50178368368960 80285389390336 100356736737920 200713473475840 401426946951680
- Sum of all divisors σ(n): 1103135796821520
- Sum of proper divisors (its aliquot sum) s(n): 701708849869840
- 401426946951680 is an abundant number, because the sum of its proper divisors (701708849869840) is greater than itself. Its abundance is 300281902918160
Bases of 401426946951680
- Binary: 10110110100011000011111101001001110001010000000002
- Hexadecimal: 0x16D187E938A00
- Base-36: 3YAKZROF7K
Squares and roots of 401426946951680
- 401426946951680 squared (4014269469516802) is 161143593738946908844254822400
- 401426946951680 cubed (4014269469516803) is 64687380855447314162970597210704819781632000
-
The
square root of 401426946951680 is 20035641.9151391303 -
The
cube root of 401426946951680 is 73768.1412854361
Scales and comparisons
How big is 401426946951680?- 401,426,946,951,680 seconds is equal to 12,764,135 years, 11 weeks, 2 days, 8 hours, 21 minutes, 20 seconds.
-
To count from 1 to 401,426,946,951,680 would take you about thirty-one million, nine hundred ten thousand, three hundred thirty-eight 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 401426946951680 cubic inches would be around 6147.3 feet tall.
Recreational maths with 401426946951680
- 401426946951680 backwards is 086159649624104
- 401426946951680 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 401426946951680's digits is 65
- 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 401426946951680 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
APA style:
Numbermatics. (2024). Number 401426946951680 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/401426946951680/
Chicago style:
Numbermatics. 2024. "Number 401426946951680 - Facts about the integer". https://numbermatics.com/n/401426946951680/
The information we have on file for 401426946951680 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 401426946951680, math, Factors of 401426946951680, curriculum, school, college, exams, university, Prime factorization of 401426946951680, STEM, science, technology, engineering, physics, economics, calculator, four hundred one trillion, four hundred twenty-six billion, nine hundred forty-six million, nine hundred fifty-one thousand, six hundred eighty.