31404149284080
31,404,149,284,080 is an even composite number composed of six prime numbers multiplied together.
What does the number 31404149284080 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 960 divisors.
31404149284080 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 31404149284080:
24 × 3 × 5 × 192 × 233 × 313
(2 × 2 × 2 × 2 × 3 × 5 × 19 × 19 × 23 × 23 × 23 × 31 × 31 × 31)See below for interesting mathematical facts about the number 31404149284080 from the Numbermatics database.
Names of 31404149284080
- Cardinal: 31404149284080 can be written as Thirty-one trillion, four hundred four billion, one hundred forty-nine million, two hundred eighty-four thousand and eighty.
Scientific notation
- Scientific notation: 3.140414928408 × 1013
Factors of 31404149284080
Divisors of 31404149284080
- Number of divisors d(n): 960
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 19 20 23 24 30 31 38 40 46 48 57 60 62 69 76 80 92 93 95 114 115 120 124 138 152 155 184 186 190 228 230 240 248 276 285 304 310 345 361 368 372 380 437 456 460 465 496 529 552 570 589 620 690 713 722 744 760 874 912 920 930 961 1058 1083 1104 1140 1178 1240 1311 1380 1426 1444 1488 1520 1587 1748 1767 1805 1840 1860 1922 2116 2139 2166 2185 2280 2356 2480 2622 2645 2760 2852 2883 2888 2945 3174 3496 3534 3565 3610 3720 3844 4232 4278 4332 4370 4560 4712 4805 5244 5290 5415 5520 5704 5766 5776 5890 6348 6555 6992 7068 7130 7220 7440 7688 7935 8303 8464 8556 8664 8740 8835 9424 9610 10051 10488 10580 10695 10830 11191 11408 11532 11780 12167 12696 13110 13547 14136 14260 14415 14440 15376 15870 16399 16606 17112 17328 17480 17670 18259 19220 20102 20976 21160 21390 21660 22103 22382 23064 23560 24334 24909 25392 26220 27094 28272 28520 28830 28880 29791 30153 31740 32798 33212 33573 34224 34960 35340 36501 36518 38440 40204 40641 41515 42320 42780 43320 44206 44764 46128 47120 48668 49197 49818 50255 52440 54188 54777 55955 57040 57660 59582 60306 60835 63480 65596 66309 66424 67146 67735 70680 73002 73036 76880 80408 81282 81995 83030 85560 86640 88412 89373 89528 91295 97336 98394 99636 100510 104880 108376 109554 110515 111910 115320 119164 120612 121670 124545 126960 131192 132618 132848 134292 135470 141360 146004 146072 148955 150765 160816 162564 163990 166060 167865 171120 176824 178746 179056 182505 182590 190969 194672 196788 199272 201020 203205 216752 219108 221030 223820 230640 231173 238328 241224 243340 245985 249090 257393 262384 265236 268584 270940 273885 292008 292144 297910 301530 311581 325128 327980 331545 332120 335730 346921 353648 357492 365010 365180 377177 381938 393576 398544 402040 406410 419957 438216 442060 446865 447640 462346 476656 482448 486680 491970 498180 508369 514786 530472 537168 541880 547770 566029 572907 584016 595820 603060 623162 650256 655960 663090 664240 671460 685193 693519 693842 714984 730020 730360 754354 763876 772179 787152 804080 812820 839914 876432 884120 893730 895280 924692 934743 954845 973360 983940 996360 1016738 1029572 1040763 1060944 1083760 1095540 1131531 1132058 1145814 1155865 1191640 1206120 1246324 1259871 1286965 1311920 1326180 1342920 1370386 1387038 1387684 1429968 1460040 1460720 1508708 1525107 1527752 1544358 1557905 1625640 1679828 1698087 1734605 1768240 1787460 1849384 1869486 1885885 1909690 1967880 1992720 2033476 2055579 2059144 2081526 2099785 2191080 2263062 2264116 2291628 2311730 2383280 2412240 2492648 2519742 2541845 2573930 2652360 2685840 2740772 2774076 2775368 2830145 2864535 2920080 3017416 3050214 3055504 3088716 3115810 3251280 3359656 3396174 3425965 3467595 3469210 3574920 3698768 3738972 3771770 3819380 3860895 3935760 4066952 4111158 4118288 4163052 4199570 4382160 4392287 4526124 4528232 4583256 4623460 4673715 4985296 5039484 5083690 5147860 5203815 5304720 5481544 5548152 5550736 5657655 5660290 5729070 5920039 6034832 6100428 6177432 6231620 6299355 6719312 6792348 6851930 6935190 6938420 7149840 7166363 7477944 7543540 7625535 7638760 7721790 7979183 8133904 8222316 8326104 8399140 8490435 8784574 9052248 9056464 9166512 9246920 9347430 9659011 10078968 10167380 10277895 10295720 10407630 10754551 10963088 11096304 11315310 11320580 11458140 11692487 11840078 12200856 12354864 12463240 12598710 13018667 13176861 13584696 13703860 13870380 13876840 14332726 14955888 15087080 15251070 15277520 15443580 15759439 15958366 16444632 16652208 16798280 16980870 17569148 17760117 18104496 18493840 18694860 19318022 20157936 20334760 20555790 20591440 20815260 21499089 21509102 21961435 22630620 22641160 22916280 23384974 23680156 23937549 24401712 24926480 25197420 26037334 26353722 27169392 27407720 27740760 27753680 28665452 28977033 29600195 30174160 30502140 30887160 31518878 31916732 32263653 32889264 33596560 33961740 35077461 35138296 35520234 35831815 37389720 38636044 39056001 39895915 40669520 41111580 41630520 42998178 43018204 43922870 45261240 45282320 45832560 46769948 47278317 47360312 47875098 48295055 50394840 52074668 52707444 53772755 54815440 55481520 57330904 57954066 58462435 59200390 61004280 61774320 63037756 63833464 64527306 65093335 65884305 67923480 70154922 70276592 71040468 71663630 74779440 77272088 78112002 78797195 79791830 82223160 83261040 85996356 86036408 87845740 88800585 90522480 93539896 94556634 94720624 95750196 96590110 100789680 104149336 105414888 107495445 107545510 114661808 115908132 116924870 118400780 119687745 122008560 126075512 127666928 129054612 130186670 131768610 135846960 136160897 140309844 142080936 143327260 144885165 154544176 156224004 157594390 159583660 161318265 164446320 171992712 172072816 175387305 175691480 177601170 183521209 187079792 189113268 191500392 193180220 195280005 208298672 210829776 214990890 215091020 222157253 231816264 233849740 236391585 236801560 239375490 247354673 252151024 258109224 260373340 263537220 272321794 280619688 284161872 286654520 289770330 299429341 312448008 315188780 319167320 322636530 343985424 350774610 351382960 355202340 362467097 367042418 378226536 383000784 386360440 390560010 408482691 429981780 430182040 444314506 463632528 467699480 472783170 473603120 478750980 494709346 516218448 520746680 527074440 544643588 550563627 561239376 573309040 579540660 598858682 624896016 630377560 638334640 645273060 666471759 680804485 701549220 710404680 724934194 734084836 742064019 756453072 772720880 781120020 816965382 859963560 860364080 888629012 898288023 917606045 935398960 945566340 957501960 989418692 1041493360 1054148880 1087401291 1089287176 1101127254 1110786265 1159081320 1197717364 1236773365 1260755120 1290546120 1332943518 1361608970 1403098440 1420809360 1449868388 1468169672 1484128038 1497146705 1562240040 1633930764 1719927120 1777258024 1796576046 1812335485 1835212090 1891132680 1915003920 1978837384 2042413455 2174802582 2178574352 2202254508 2221572530 2318162640 2395434728 2473546730 2581092240 2665887036 2723217940 2752818135 2806196880 2899736776 2936339344 2968256076 2994293410 3124480080 3267861528 3332358795 3554516048 3593152092 3624670970 3670424180 3710320095 3782265360 3957674768 4084826910 4220987807 4349605164 4404509016 4443145060 4491440115 4790869456 4947093460 5331774072 5437006455 5446435880 5505636270 5689157479 5799473552 5936512152 5988586820 6535723056 6664717590 6886874843 7186304184 7249341940 7340848360 7420640190 8169653820 8441975614 8699210328 8809018032 8886290120 8982880230 9894186920 10663548144 10874012910 10892871760 11011272540 11378314958 11873024304 11977173640 12662963421 13329435180 13773749686 14372608368 14498683880 14681696720 14841280380 16339307640 16883951228 17067472437 17398420656 17772580240 17965760460 19788373840 20660624529 21104939035 21748025820 22022545080 22756629916 23954347280 25325926842 26658870360 27547499372 28445787395 28997367760 29682560760 32678615280 33767902456 34134944874 34434374215 35931520920 41321249058 42209878070 43496051640 44045090160 45513259832 50651853684 53317740720 55094998744 56891574790 59365121520 63314817105 67535804912 68269889748 68868748430 71863041840 82642498116 84419756140 85337362185 86992103280 91026519664 101303707368 103303122645 110189997488 113783149580 126629634210 130850622017 136539779496 137737496860 165284996232 168839512280 170674724370 202607414736 206606245290 227566299160 253259268420 261701244034 273079558992 275474993720 330569992464 337679024560 341349448740 392551866051 413212490580 455132598320 506518536840 523402488068 550949987440 654253110085 682698897480 785103732102 826424981160 1013037073680 1046804976136 1308506220170 1365397794960 1570207464204 1652849962320 1962759330255 2093609952272 2617012440340 3140414928408 3925518660510 5234024880680 6280829856816 7851037321020 10468049761360 15702074642040 31404149284080
- Sum of all divisors σ(n): 110996701470720
- Sum of proper divisors (its aliquot sum) s(n): 79592552186640
- 31404149284080 is an abundant number, because the sum of its proper divisors (79592552186640) is greater than itself. Its abundance is 48188402902560
Bases of 31404149284080
- Binary: 1110010001111110110010010100110011100111100002
- Hexadecimal: 0x1C8FD9299CF0
- Base-36: B4QV7NHTC
Squares and roots of 31404149284080
- 31404149284080 squared (314041492840802) is 986220592256782376541446400
- 31404149284080 cubed (314041492840803) is 30971418706265785861788424949007693312000
-
The
square root of 31404149284080 is 5603940.5139669353 -
The
cube root of 31404149284080 is 31549.7322363881
Scales and comparisons
How big is 31404149284080?- 31,404,149,284,080 seconds is equal to 998,554 years, 42 weeks, 1 hour, 8 minutes.
-
To count from 1 to 31,404,149,284,080 would take you about two million, four hundred ninety-six thousand, three hundred eighty-seven 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 31404149284080 cubic inches would be around 2629.1 feet tall.
Recreational maths with 31404149284080
- 31404149284080 backwards is 08048294140413
- 31404149284080 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 31404149284080's digits is 48
- More coming soon!
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The information we have on file for 31404149284080 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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