138348325676880
138,348,325,676,880 is an even composite number composed of eight prime numbers multiplied together.
138348325676880 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138348325676880:
24 × 32 × 5 × 11 × 71 × 181 × 521 × 2609
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 71 × 181 × 521 × 2609)See below for interesting mathematical facts about the number 138348325676880 from the Numbermatics database.
Names of 138348325676880
- Cardinal: 138348325676880 can be written as One hundred thirty-eight trillion, three hundred forty-eight billion, three hundred twenty-five million, six hundred seventy-six thousand, eight hundred eighty.
Scientific notation
- Scientific notation: 1.3834832567688 × 1014
Factors of 138348325676880
Divisors of 138348325676880
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 71 72 80 88 90 99 110 120 132 142 144 165 176 180 181 198 213 220 240 264 284 330 355 360 362 396 426 440 495 521 528 543 568 639 660 710 720 724 781 792 852 880 905 990 1042 1065 1086 1136 1278 1320 1420 1448 1562 1563 1584 1629 1704 1810 1980 1991 2084 2130 2172 2343 2556 2605 2609 2640 2715 2840 2896 3124 3126 3195 3258 3408 3620 3905 3960 3982 4168 4260 4344 4686 4689 5112 5210 5218 5430 5680 5731 5973 6248 6252 6390 6516 7029 7240 7810 7815 7827 7920 7964 8145 8336 8520 8688 9372 9378 9955 10224 10420 10436 10860 11462 11715 11946 12496 12504 12780 12851 13032 13045 14058 14480 15620 15630 15654 15928 16290 17040 17193 17919 18744 18756 19910 20840 20872 21720 22924 23430 23445 23481 23892 25008 25560 25702 26064 26090 28116 28655 28699 29865 31240 31260 31308 31856 32580 34386 35145 35838 36991 37488 37512 38553 39135 39820 41680 41744 43440 45848 46860 46890 46962 47784 51120 51404 51579 52180 56232 57310 57398 59730 62480 62520 62616 64255 65160 68772 70290 71676 73982 75024 77106 78270 79640 85965 86097 89595 91696 93720 93780 93924 94301 95568 102808 103158 104360 110973 112464 114620 114796 115659 117405 119460 125040 125232 128510 130320 137544 140580 141361 143352 143495 147964 154212 156540 159280 171930 172194 179190 184955 185239 187440 187560 187848 188602 192765 205616 206316 208720 221946 229240 229592 231318 234810 238920 257020 257895 258291 275088 281160 282722 282903 286704 286990 295928 308424 313080 332919 343860 344388 358380 369910 370478 375120 375696 377204 385530 406901 412632 424083 430485 443892 458480 459184 462636 469620 471505 472229 477840 514040 515790 516582 554865 555717 562320 565444 565806 573980 578295 591856 616848 626160 665838 687720 688776 706805 716760 739820 740956 754408 771060 813802 825264 848166 848709 860970 887784 925272 926195 939240 943010 944458 1028080 1031580 1033164 1037311 1109730 1111434 1130888 1131612 1147960 1156590 1220703 1272249 1291455 1331676 1359289 1375440 1377552 1413610 1414515 1416687 1433520 1479640 1481912 1508816 1542120 1627604 1664595 1667151 1696332 1697418 1721940 1775568 1850544 1852390 1878480 1886020 1888916 2034505 2037629 2063160 2066328 2074622 2120415 2219460 2222868 2261776 2263224 2295920 2313180 2361145 2441406 2544498 2582910 2663352 2718578 2778585 2827220 2829030 2833374 2959280 2963824 3084240 3111933 3255208 3329190 3334302 3392664 3394836 3443880 3662109 3704780 3772040 3777832 4069010 4075258 4077867 4126320 4132656 4149244 4240830 4243545 4250061 4438920 4445736 4526448 4626360 4722290 4882812 5088996 5165820 5186555 5194519 5326704 5437156 5557170 5654440 5658060 5666748 6103515 6112887 6223866 6361245 6510416 6658380 6668604 6695371 6785328 6789672 6796445 6887760 7083435 7324218 7409560 7544080 7555664 8138020 8150516 8155734 8298488 8335755 8481660 8487090 8500122 8877840 8891472 9252720 9335799 9444580 9765624 10177992 10188145 10331640 10373110 10389038 10874312 11114340 11308880 11316120 11333496 12207030 12225774 12233601 12447732 12722490 13316760 13337208 13390742 13579344 13592890 14166870 14648436 14819120 14952179 15559665 15583557 16276040 16301032 16311468 16596976 16671510 16963320 16974180 17000244 18310545 18338661 18671598 18889160 19531248 20086113 20355984 20376290 20389335 20663280 20746220 20778076 21250305 21748624 22228680 22632240 22666992 24414060 24451548 24467202 24895464 25444980 25972595 26633520 26674416 26781484 27185780 28333740 29296872 29904358 30564435 31119330 31167114 32552080 32602064 32622936 33343020 33476855 33528259 33926640 33948360 34000488 36621090 36677322 37343196 37778320 40172226 40752580 40778670 41492440 41556152 42500610 44457360 44856537 46678995 46750671 48828120 48903096 48934404 49790928 50889960 51945190 53562968 54371560 56667480 58593744 59808716 60258339 61128870 61168005 62238660 62334228 65245872 66686040 66953710 67056518 67896720 68000976 73242180 73354644 73649081 74686392 74760895 77917785 80344452 81505160 81557340 82984880 83112304 85001220 89713074 91693305 93357990 93501342 96509519 97656240 97806192 97868808 100430565 100584777 101779920 103890380 107125936 108743120 113334960 119617432 120516678 122257740 122336010 124477320 124668456 133372080 133907420 134113036 134569611 146484360 146709288 147298162 149372784 149521790 155835570 160688904 163010320 163114680 167641295 170002440 179426148 183386610 186715980 187002684 193019038 195737616 200861130 201169554 207780760 220947243 224282685 233753355 239234864 241033356 244515480 244672020 246031309 248954640 249336912 267814840 268226072 269139222 289528557 292968720 293418576 294596324 299043580 301291695 301754331 311671140 321377808 326229360 335282590 340004880 358852296 366773220 368245405 368810849 373431960 374005368 386038076 401722260 402339108 415561520 441894486 448565370 467506710 482066712 482547595 489030960 489344040 492062618 502923885 535629680 536452144 538278444 579057114 589192648 598087160 602583390 603508662 623342280 662841729 670565180 672848055 717704592 733546440 736490810 737621698 738093927 746863920 748010736 772076152 803444520 804678216 868585671 883788972 897130740 935013420 964133424 965095190 978688080 984125236 1005847770 1061604709 1076556888 1104736215 1106432547 1158114228 1178385296 1196174320 1205166780 1207017324 1230156545 1246684560 1325683458 1341130360 1345696110 1447642785 1467092880 1472981620 1475243396 1476187854 1508771655 1544152304 1606889040 1609356432 1737171342 1767577944 1794261480 1844054245 1870026840 1930190380 1968250472 2011695540 2123209418 2153113776 2209472430 2212865094 2214281781 2316228456 2410333560 2414034648 2460313090 2651366916 2682260720 2691392220 2706344399 2895285570 2945963240 2950486792 2952375708 3017543310 3184814127 3314208645 3319297641 3474342684 3535155888 3588522960 3688108490 3690469635 3740053680 3860380760 3936500944 4023391080 4246418836 4342928355 4418944860 4425730188 4428563562 4632456912 4820667120 4828069296 4920626180 5302733832 5308023545 5382784440 5412688798 5532162735 5790571140 5891926480 5900973584 5904751416 6035086620 6369628254 6628417290 6638595282 6948685368 7376216980 7380939270 7720761520 8046782160 8119033197 8492837672 8685856710 8837889720 8851460376 8857127124 9554442381 9841252360 10605467664 10616047090 10765568880 10825377596 11064325470 11071408905 11581142280 11809502832 12070173240 12739256508 13256834580 13277190564 13531721995 13897370736 14752433960 14761878540 15924070635 16238066394 16596488205 16985675344 17371713420 17468222939 17675779440 17702920752 17714254248 19108884762 19682504720 21232094180 21650755192 22128650940 22142817810 23162284560 24140346480 24357099591 25478513016 26513669160 26554381128 27063443990 29504867920 29523757080 31848141270 32476132788 33192976410 34743426840 34936445878 35428508496 38217769524 40595165985 42464188360 43301510384 44257301880 44285635620 47772211905 48714199182 50957026032 52404668817 53027338320 53108762256 54126887980 59047514160 63696282540 64952265576 66385952820 69486853680 69872891756 76435539048 81190331970 84928376720 87341114695 88514603760 88571271240 95544423810 97428398364 104809337634 108253775960 121785497955 127392565080 129904531152 132771905640 139745783512 152871078096 157214006451 162380663940 174682229390 177142542480 191088847620 192150452329 194856796728 209618675268 216507551920 243570995910 254785130160 262023344085 265543811280 279491567024 314428012902 324761327880 349364458780 382177695240 384300904658 389713593456 419237350536 487141991820 524046688170 576451356987 628856025804 649522655760 698728917560 764355390480 768601809316 786070032255 838474701072 960752261645 974283983640 1048093376340 1152902713974 1257712051608 1397457835120 1537203618632 1572140064510 1729354070961 1921504523290 1948567967280 2096186752680 2305805427948 2515424103216 2882256784935 3074407237264 3144280129020 3458708141922 3843009046580 4192373505360 4611610855896 5764513569870 6288560258040 6917416283844 7686018093160 8646770354805 9223221711792 11529027139740 12577120516080 13834832567688 15372036186320 17293540709610 23058054279480 27669665135376 34587081419220 46116108558960 69174162838440 138348325676880
- Sum of all divisors σ(n): 518027049146880
- Sum of proper divisors (its aliquot sum) s(n): 379678723470000
- 138348325676880 is an abundant number, because the sum of its proper divisors (379678723470000) is greater than itself. Its abundance is 241330397793120
Bases of 138348325676880
- Binary: 111110111010011101110101100111010100111010100002
- Hexadecimal: 0x7DD3BACEA750
- Base-36: 1D1GCD25W0
Squares and roots of 138348325676880
- 138348325676880 squared (1383483256768802) is 19140259217596053910166534400
- 138348325676880 cubed (1383483256768803) is 2648022815775883244287657476008403804672000
-
The
square root of 138348325676880 is 11762156.5062228279 -
The
cube root of 138348325676880 is 51719.9348560861
Scales and comparisons
How big is 138348325676880?- 138,348,325,676,880 seconds is equal to 4,399,048 years, 42 weeks, 3 days, 9 hours, 48 minutes.
-
To count from 1 to 138,348,325,676,880 would take you about ten million, nine hundred ninety-seven thousand, six hundred twenty-two 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 138348325676880 cubic inches would be around 4310 feet tall.
Recreational maths with 138348325676880
- 138348325676880 backwards is 088676523843831
- 138348325676880 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138348325676880's digits is 72
- More coming soon!
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The information we have on file for 138348325676880 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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