3972138089920
3,972,138,089,920 is an even composite number composed of seven prime numbers multiplied together.
What does the number 3972138089920 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1008 divisors.
3972138089920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 3972138089920:
26 × 5 × 7 × 112 × 132 × 17 × 5101
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 11 × 11 × 13 × 13 × 17 × 5101)See below for interesting mathematical facts about the number 3972138089920 from the Numbermatics database.
Names of 3972138089920
- Cardinal: 3972138089920 can be written as Three trillion, nine hundred seventy-two billion, one hundred thirty-eight million, eighty-nine thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 3.97213808992 × 1012
Factors of 3972138089920
Divisors of 3972138089920
- Number of divisors d(n): 1008
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Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 17 20 22 26 28 32 34 35 40 44 52 55 56 64 65 68 70 77 80 85 88 91 104 110 112 119 121 130 136 140 143 154 160 169 170 176 182 187 208 220 221 224 238 242 260 272 280 286 308 320 338 340 352 364 374 385 416 440 442 448 455 476 484 520 544 560 572 595 605 616 676 680 704 715 728 748 770 832 845 847 880 884 910 935 952 968 1001 1040 1088 1105 1120 1144 1183 1190 1210 1232 1309 1352 1360 1430 1456 1496 1540 1547 1573 1690 1694 1760 1768 1820 1859 1870 1904 1936 2002 2057 2080 2210 2240 2288 2366 2380 2420 2431 2464 2618 2704 2720 2860 2873 2912 2992 3080 3094 3146 3380 3388 3520 3536 3640 3718 3740 3808 3872 4004 4114 4160 4235 4420 4576 4732 4760 4840 4862 4928 5005 5101 5236 5408 5440 5720 5746 5824 5915 5984 6160 6188 6292 6545 6760 6776 7072 7280 7436 7480 7616 7735 7744 7865 8008 8228 8470 8840 9152 9295 9464 9520 9680 9724 10010 10202 10285 10472 10816 11011 11440 11492 11830 11968 12155 12320 12376 12584 13013 13090 13520 13552 14144 14365 14399 14560 14872 14960 15470 15730 16016 16456 16940 17017 17680 18590 18928 19040 19360 19448 20020 20111 20404 20449 20570 20944 22022 22880 22984 23660 24310 24640 24752 25168 25505 26026 26180 26741 27040 27104 28730 28798 29120 29744 29920 30940 31460 31603 32032 32912 33880 34034 35360 35707 37180 37856 38080 38720 38896 40040 40222 40808 40898 41140 41888 44044 45760 45968 47320 48620 49504 50336 51010 52052 52360 53482 54080 54208 55055 56111 57460 57596 59488 59840 61880 62920 63206 64064 65065 65824 66313 67760 68068 70720 71414 71995 74360 75712 77792 80080 80444 81616 81796 82280 83776 85085 86717 88088 91936 94640 97240 99008 100555 100672 102020 102245 104104 104720 106964 110110 112222 114920 115192 118976 123760 125840 126412 130130 131648 132626 133705 135520 136136 142828 143143 143990 148720 155584 158015 160160 160888 163232 163592 164560 170170 173434 176176 178535 183872 187187 189280 194480 201110 204040 204490 208208 209440 213928 220220 221221 224444 229840 230384 247520 251680 252824 260260 265252 267410 271040 272272 280555 285656 286286 287980 297440 316030 320320 321776 326464 327184 329120 331565 340340 346868 347633 352352 357070 374374 378560 388960 392777 402220 408080 408980 416416 418880 427856 433585 440440 442442 448888 459680 460768 464191 495040 503360 505648 520520 530504 534820 544544 561110 571312 572572 575960 594880 607019 617221 632060 643552 654368 658240 663130 680680 693736 695266 704704 714140 715715 729443 748748 777920 785554 804440 816160 817960 832832 855712 862069 867170 880880 884884 897776 919360 921536 928382 935935 953887 1011296 1041040 1061008 1069640 1089088 1106105 1122220 1127321 1142624 1145144 1151920 1214038 1234442 1264120 1287104 1308736 1326260 1361360 1387472 1390532 1428280 1431430 1458886 1497496 1571108 1608880 1632320 1635920 1711424 1724138 1734340 1738165 1761760 1769768 1795552 1856764 1871870 1907774 1963885 2022592 2082080 2122016 2139280 2212210 2244440 2254642 2285248 2290288 2303840 2320955 2428076 2433431 2468884 2528240 2652520 2722720 2774944 2781064 2856560 2862860 2917772 2994992 3035095 3086105 3142216 3217760 3271840 3448276 3468680 3476330 3523520 3539536 3591104 3647215 3713528 3743740 3815548 3927770 4164160 4244032 4278560 4310345 4320547 4424420 4488880 4509284 4580576 4607680 4641910 4769435 4856152 4866862 4937768 5056480 5106101 5305040 5445440 5549888 5562128 5636605 5713120 5725720 5835544 5989984 6034483 6070190 6172210 6284432 6435520 6543680 6677209 6896552 6937360 6952660 7079072 7294430 7427056 7487480 7631096 7855540 7891247 8023873 8557120 8620690 8641094 8848840 8977760 9018568 9161152 9283820 9482759 9538870 9712304 9733724 9875536 10112960 10212202 10492757 10610080 11124256 11273210 11426240 11451440 11671088 11979968 12068966 12140380 12167155 12344420 12400531 12568864 13354418 13793104 13874720 13905320 14158144 14588860 14655173 14854112 14974960 15262192 15711080 15782494 16047746 17241380 17282188 17697680 17955520 18037136 18567640 18965518 19077740 19424608 19467448 19751072 20424404 20985514 21220160 21602735 22248512 22546420 22902880 23342176 24137932 24280760 24334310 24688840 24801062 25137728 25530505 26708836 27586208 27749440 27810640 29177720 29310346 29708224 29949920 30172415 30524384 31422160 31564988 32095492 33386045 34482760 34564376 35395360 36074272 37135280 37931036 38155480 38849216 38934896 39456235 39502144 40119365 40848808 41971028 43205470 45092840 45805760 46684352 47413795 48275864 48561520 48668620 49377680 49602124 51061010 52463785 53417672 55172416 55621280 56167111 58355440 58620692 59899840 60344830 61048768 62002655 62844320 63129976 64190984 66379313 66772090 68965520 69128752 70790720 72148544 73275865 73449299 74270560 75862072 76310960 77869792 78912470 80238730 81697616 83942056 86410940 86803717 90185680 94827590 96551728 97123040 97337240 98755360 99204248 102122020 102586211 104310349 104927570 106835344 111242560 112334222 116710880 117241384 120689660 124005310 125688640 126259952 128381968 132758626 133544180 136405841 137931040 138257504 146551730 146898598 148541120 151724144 152621920 155739584 157824940 160477460 161206903 163395232 167884112 172821880 173607434 180371360 189655180 193103456 194246080 194674480 197510720 198408496 204244040 205172422 208620698 209855140 213670688 224668444 233421760 234482768 241379320 248010620 252519904 256763936 265517252 267088360 272811682 275862080 276515008 280835555 293103460 293797196 303448288 305243840 315649880 320954920 322413806 326790464 331896565 335768224 345643760 347214868 360742720 367246495 379310360 386206912 389348960 396816992 408488080 410344844 417241396 419710280 427341376 434018585 449336888 468965536 482758640 496021240 505039808 512931055 513527872 521551745 531034504 534176720 545623364 561671110 586206920 587594392 606896576 631299760 641909840 644827612 663793130 671536448 682029205 691287520 694429736 730172443 734492990 758620720 778697920 793633984 806034515 816976160 820689688 834482792 839420560 868037170 898673776 937931072 954840887 965517280 992042480 1025862110 1043103490 1062069008 1068353440 1091246728 1123342220 1128448321 1172413840 1175188784 1262599520 1283819680 1289655224 1327586260 1364058410 1382575040 1388859472 1460344886 1468985980 1517241440 1612069030 1633952320 1641379376 1668965584 1678841120 1736074340 1773275933 1797347552 1909681774 1931034560 1984084960 2051724220 2086206980 2124138016 2136706880 2182493456 2246684440 2256896642 2344827680 2350377568 2525199040 2567639360 2579310448 2655172520 2728116820 2777718944 2920689772 2937971960 3034482880 3224138060 3282758752 3337931168 3357682240 3472148680 3546551866 3594695104 3650862215 3819363548 3968169920 4103448440 4172413960 4248276032 4364986912 4493368880 4513793284 4689655360 4700755136 4774204435 5158620896 5310345040 5456233640 5555437888 5642241605 5841379544 5875943920 6448276120 6565517504 6675862336 6944297360 7093103732 7301724430 7638727096 8206896880 8344827920 8729973824 8866379665 8986737760 9027586568 9548408870 10317241792 10620690080 10912467280 11284483210 11682759088 11751887840 12412931531 12896552240 13888594720 14186207464 14603448860 15277454192 16413793760 16689655840 17732759330 17973475520 18055173136 19096817740 21241380160 21824934560 22568966420 23365518176 23503775680 24825863062 25793104480 27777189440 28372414928 29206897720 30554908384 32827587520 33379311680 35465518660 36110346272 38193635480 43649869120 45137932840 46731036352 49651726124 51586208960 56744829856 58413795440 61109816768 62064657655 70931037320 72220692544 76387270960 90275865680 99303452248 113489659712 116827590880 124129315310 141862074640 152774541920 180551731360 198606904496 233655181760 248258630620 283724149280 305549083840 361103462720 397213808992 496517261240 567448298560 794427617984 993034522480 1986069044960 3972138089920
- Sum of all divisors σ(n): 13625757278784
- Sum of proper divisors (its aliquot sum) s(n): 9653619188864
- 3972138089920 is an abundant number, because the sum of its proper divisors (9653619188864) is greater than itself. Its abundance is 5681481098944
Bases of 3972138089920
- Binary: 1110011100110101011110000100111101110000002
- Hexadecimal: 0x39CD5E13DC0
- Base-36: 1EORWGLOG
Squares and roots of 3972138089920
- 3972138089920 squared (39721380899202) is 15777881005393306005606400
- 3972138089920 cubed (39721380899203) is 62671922119748015735463470507327488000
-
The
square root of 3972138089920 is 1993022.3505821505 -
The
cube root of 3972138089920 is 15837.0679243675
Scales and comparisons
How big is 3972138089920?- 3,972,138,089,920 seconds is equal to 126,301 years, 36 weeks, 4 days, 11 hours, 38 minutes, 40 seconds.
-
To count from 1 to 3,972,138,089,920 would take you about three hundred fifteen thousand, seven hundred fifty-four 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 3972138089920 cubic inches would be around 1319.8 feet tall.
Recreational maths with 3972138089920
- 3972138089920 backwards is 0299808312793
- The number of decimal digits it has is: 13
- The sum of 3972138089920's digits is 61
- More coming soon!
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The information we have on file for 3972138089920 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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