3406132401331920
3,406,132,401,331,920 is an even composite number composed of seven prime numbers multiplied together.
What does the number 3406132401331920 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 720 divisors.
3406132401331920 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 3406132401331920:
24 × 3 × 5 × 132 × 107 × 401 × 13992
(2 × 2 × 2 × 2 × 3 × 5 × 13 × 13 × 107 × 401 × 1399 × 1399)See below for interesting mathematical facts about the number 3406132401331920 from the Numbermatics database.
Names of 3406132401331920
- Cardinal: 3406132401331920 can be written as Three quadrillion, four hundred six trillion, one hundred thirty-two billion, four hundred one million, three hundred thirty-one thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 3.40613240133192 × 1015
Factors of 3406132401331920
Divisors of 3406132401331920
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 107 120 130 156 169 195 208 214 240 260 312 321 338 390 401 428 507 520 535 624 642 676 780 802 845 856 1014 1040 1070 1203 1284 1352 1391 1399 1560 1604 1605 1690 1712 2005 2028 2140 2406 2535 2568 2704 2782 2798 3120 3208 3210 3380 4010 4056 4173 4197 4280 4812 5070 5136 5213 5564 5596 6015 6416 6420 6760 6955 6995 8020 8112 8346 8394 8560 9624 10140 10426 11128 11192 12030 12840 13520 13910 13990 15639 16040 16692 16788 18083 18187 19248 20280 20852 20865 20985 22256 22384 24060 25680 26065 27820 27980 31278 32080 33384 33576 36166 36374 40560 41704 41730 41970 42907 48120 52130 54249 54561 55640 55960 62556 66768 67152 67769 72332 72748 78195 83408 83460 83940 85814 90415 90935 96240 104260 108498 109122 111280 111920 125112 128721 135538 144664 145496 149693 156390 166920 167880 171628 180830 181870 203307 208520 214535 216996 218244 236431 250224 257442 271076 271245 272805 289328 290992 299386 312780 333840 335760 338845 343256 361660 363740 406614 417040 429070 433992 436488 449079 472862 514884 542152 542490 545610 557791 560999 598772 625560 643605 677690 686512 709293 723320 727480 748465 813228 858140 867984 872976 898158 945724 1016535 1029768 1084304 1084980 1091220 1115582 1121998 1182155 1197544 1251120 1287210 1355380 1418586 1446640 1454960 1496930 1626456 1673373 1682997 1716280 1796316 1891448 1946009 1957201 2033070 2059536 2169960 2182440 2231164 2243996 2245395 2364310 2395088 2574420 2710760 2788955 2804995 2837172 2993860 3252912 3346746 3365994 3432560 3546465 3592632 3782896 3892018 3914402 4066140 4339920 4364880 4462328 4487992 4490790 4728620 5148840 5421520 5577910 5609990 5674344 5838027 5871603 5987720 6693492 6731988 7092930 7185264 7251283 7292987 7784036 7828804 8132280 8366865 8414985 8924656 8975984 8981580 9457240 9730045 9786005 10297680 11155820 11219980 11348688 11676054 11743206 11975440 13386984 13463976 14185860 14502566 14585974 15568072 15657608 16264560 16733730 16829970 17963160 18914480 19460090 19572010 21753849 21878961 22311640 22439960 23352108 23486412 25298117 25443613 26773968 26927952 28371720 29005132 29171948 29190135 29358015 31136144 31315216 33467460 33659940 35926320 36256415 36464935 38920180 39144020 43507698 43757922 44623280 44879920 46704216 46972824 50596234 50887226 56743440 58010264 58343896 58380270 58716030 60026893 66934920 67319880 72512830 72929870 75894351 76330839 77840360 78288040 87015396 87515844 93408432 93945648 94808831 101192468 101774452 108769245 109394805 116020528 116687792 116760540 117432060 120053786 126490585 127218065 133869840 134639760 145025660 145859740 151788702 152661678 155680720 156576080 174030792 175031688 180080679 189617662 202384936 203548904 209420507 217538490 218789610 233521080 234864120 240107572 252981170 254436130 284426493 290051320 291719480 300134465 303577404 305323356 330766969 348061584 350063376 360161358 379235324 379471755 381654195 404769872 407097808 418841014 435076980 437579220 467042160 469728240 474044155 480215144 505962340 508872260 568852986 580102640 583438960 600268930 607154808 610646712 628261521 661533938 720322716 758470648 758943510 763308390 780349609 784837601 837682028 870153960 875158440 900403395 948088310 960430288 992300907 1011924680 1017744520 1047102535 1137705972 1200537860 1214309616 1221293424 1256523042 1323067876 1422132465 1440645432 1516941296 1517887020 1526616780 1560699218 1569675202 1653834845 1675364056 1740307920 1750316880 1800806790 1896176620 1984601814 2023849360 2035489040 2094205070 2275411944 2341048827 2354512803 2401075720 2513046084 2646135752 2722466591 2844264930 2881290864 3035774040 3053233560 3121398436 3139350404 3141307605 3307669690 3350728112 3601613580 3792353240 3901748045 3924188005 3969203628 4188410140 4550823888 4682097654 4709025606 4802151440 4961504535 5026092168 5292271504 5444933182 5688529860 6071548080 6106467120 6242796872 6278700808 6282615210 6615339380 7203227160 7584706480 7803496090 7848376010 7938407256 8167399773 8376820280 9364195308 9418051212 9923009070 10052184336 10144544917 10202888813 10889866364 11377059720 11705244135 11772564015 12485593744 12557401616 12565230420 13230678760 13612332955 14406454320 15606992180 15696752020 15876814512 16334799546 16753640560 18728390616 18836102424 19846018140 20289089834 20405777626 21779732728 22754119440 23410488270 23545128030 25130460840 26461357520 27224665910 30433634751 30608666439 31213984360 31393504040 32669599092 35392065683 37456781232 37672204848 39692036280 40578179668 40811555252 40836998865 43559465456 46820976540 47090256060 50260921680 50722724585 51014444065 54449331820 60867269502 61217332878 62427968720 62787008080 65339198184 70784131366 79384072560 81156359336 81623110504 81673997730 83977623307 93641953080 94180512120 101445449170 102028888130 106176197049 108898663640 121734539004 122434665756 130678396368 132637554569 141568262732 152168173755 153043332195 162312718672 163246221008 163347995460 167955246614 176960328415 187283906160 188361024240 202890898340 204057776260 212352394098 217797327280 243469078008 244869331512 251932869921 265275109138 283136525464 304336347510 306086664390 326695990920 335910493228 353920656830 397912663707 405781796680 408115552520 419888116535 424704788196 486938156016 489738663024 503865739842 530550218276 530880985245 566273050928 608672695020 612173328780 653391981840 663187772845 671820986456 707841313660 795825327414 811563593360 816231105040 839776233070 849409576392 1007731479684 1061100436552 1061761970490 1091709102991 1217345390040 1224346657560 1259664349605 1326375545690 1343641972912 1415682627320 1591650654828 1679552466140 1698819152784 1989563318535 2015462959368 2122200873104 2123523940980 2183418205982 2434690780080 2448693315120 2519328699210 2652751091380 2831365254640 3183301309656 3275127308973 3359104932280 3979126637070 4030925918736 4247047881960 4366836411964 5038657398420 5305502182760 5458545514955 6366602619312 6550254617946 6718209864560 7958253274140 8494095763920 8733672823928 10077314796840 10611004365520 10917091029910 13100509235892 14192218338883 15916506548280 16375636544865 17467345647856 20154629593680 21834182059820 26201018471784 28384436677766 31833013096560 32751273089730 42576655016649 43668364119640 52402036943568 56768873355532 65502546179460 70961091694415 85153310033298 87336728239280 113537746711064 131005092358920 141922183388830 170306620066596 212883275083245 227075493422128 262010184717840 283844366777660 340613240133192 425766550166490 567688733555320 681226480266384 851533100332980 1135377467110640 1703066200665960 3406132401331920
- Sum of all divisors σ(n): 11577633720570432
- Sum of proper divisors (its aliquot sum) s(n): 8171501319238512
- 3406132401331920 is an abundant number, because the sum of its proper divisors (8171501319238512) is greater than itself. Its abundance is 4765368917906592
Bases of 3406132401331920
- Binary: 11000001100111011011111111111101011011011110110100002
- Hexadecimal: 0xC19DBFFD6DED0
- Base-36: XJDFMG0QMO
Squares and roots of 3406132401331920
- 3406132401331920 squared (34061324013319202) is 11601737935403151734190010886400
- 3406132401331920 cubed (34061324013319203) is 39517055493538368974862949694322118659813888000
-
The
square root of 3406132401331920 is 58362080.1662510997 -
The
cube root of 3406132401331920 is 150459.8098197767
Scales and comparisons
How big is 3406132401331920?- 3,406,132,401,331,920 seconds is equal to 108,304,474 years, 26 weeks, 1 day, 2 hours, 52 minutes.
-
To count from 1 to 3,406,132,401,331,920 would take you about three hundred twenty-four million, nine hundred thirteen thousand, four hundred twenty-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 3406132401331920 cubic inches would be around 12538.3 feet tall.
Recreational maths with 3406132401331920
- 3406132401331920 backwards is 0291331042316043
- The number of decimal digits it has is: 16
- The sum of 3406132401331920's digits is 42
- More coming soon!
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The information we have on file for 3406132401331920 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!
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