138396648000
138,396,648,000 is an even composite number composed of seven prime numbers multiplied together.
138396648000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 138396648000:
26 × 3 × 53 × 13 × 31 × 41 × 349
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 31 × 41 × 349)See below for interesting mathematical facts about the number 138396648000 from the Numbermatics database.
Names of 138396648000
- Cardinal: 138396648000 can be written as One hundred thirty-eight billion, three hundred ninety-six million, six hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.38396648 × 1011
Factors of 138396648000
Divisors of 138396648000
- Number of divisors d(n): 896
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 31 32 39 40 41 48 50 52 60 62 64 65 75 78 80 82 93 96 100 104 120 123 124 125 130 150 155 156 160 164 186 192 195 200 205 208 240 246 248 250 260 300 310 312 320 325 328 349 372 375 390 400 403 410 416 465 480 492 496 500 520 533 600 615 620 624 650 656 698 744 750 775 780 800 806 820 832 930 960 975 984 992 1000 1025 1040 1047 1066 1200 1209 1230 1240 1248 1271 1300 1312 1396 1488 1500 1550 1560 1599 1600 1612 1625 1640 1745 1860 1950 1968 1984 2000 2015 2050 2080 2094 2132 2325 2400 2418 2460 2480 2496 2542 2600 2624 2665 2792 2976 3000 3075 3100 3120 3198 3224 3250 3280 3490 3720 3813 3875 3900 3936 4000 4030 4100 4160 4188 4264 4537 4650 4800 4836 4875 4920 4960 5084 5125 5200 5235 5330 5584 5952 6000 6045 6150 6200 6240 6355 6396 6448 6500 6560 6980 7440 7626 7750 7800 7872 7995 8000 8060 8200 8376 8528 8725 9074 9300 9672 9750 9840 9920 10075 10168 10250 10400 10470 10660 10819 11168 11625 12000 12090 12300 12400 12480 12710 12792 12896 13000 13120 13325 13611 13960 14309 14880 15252 15375 15500 15600 15990 16120 16400 16523 16752 17056 17450 18148 18600 19065 19344 19500 19680 20150 20336 20500 20800 20940 21320 21638 22336 22685 23250 24000 24180 24600 24800 25420 25584 25792 26000 26175 26650 27222 27920 28618 29760 30225 30504 30750 31000 31200 31775 31980 32240 32457 32800 33046 33504 34112 34900 36296 37200 38130 38688 39000 39360 39975 40300 40672 41000 41880 42640 42927 43276 43625 45370 46500 48360 49200 49569 49600 50375 50840 51168 52000 52350 53300 54095 54444 55840 57236 60450 61008 61500 62000 62400 63550 63960 64480 64914 65600 66092 66625 67008 68055 69800 71545 72592 74400 76260 77376 78000 79950 80600 81344 82000 82615 83760 85280 85854 86552 87250 90740 93000 95325 96720 98400 99138 100750 101680 102336 104000 104700 106600 108190 108888 111680 113425 114472 120900 122016 123000 124000 127100 127920 128960 129828 130875 132184 133250 136110 139600 140647 143090 145184 148800 151125 152520 156000 158875 159900 161200 162285 164000 165230 167520 170560 171708 173104 174500 181480 186000 186017 190650 193440 196800 198276 199875 201500 203360 209400 213200 214635 216380 217776 226850 228944 241800 244032 246000 247845 248000 254200 255840 259656 261750 264368 266500 270475 272220 279200 281294 286180 290368 302250 305040 312000 317750 319800 322400 324570 328000 330460 335040 340275 343416 346208 349000 357725 362960 372000 372034 381300 386880 396552 399750 403000 406720 413075 418800 421941 426400 429270 432760 435552 443579 453700 457888 476625 483600 492000 495690 508400 511680 519312 523500 528736 533000 540950 544440 558051 558400 562588 567125 572360 604500 610080 635500 639600 644800 649140 660920 680550 686832 692416 698000 703235 715450 725920 744000 744068 762600 793104 799500 806000 811425 826150 837600 843882 852800 858540 865520 871104 887158 907400 915776 930085 953250 967200 984000 991380 1016800 1038624 1047000 1057472 1066000 1073175 1081900 1088880 1116102 1125176 1134250 1144720 1209000 1220160 1239225 1271000 1279200 1298280 1321840 1330737 1352375 1361100 1373664 1396000 1406470 1430900 1451840 1488136 1525200 1586208 1599000 1612000 1622850 1652300 1675200 1687764 1701375 1717080 1731040 1774316 1788625 1814800 1860170 1906500 1934400 1982760 2033600 2065375 2077248 2094000 2109705 2132000 2146350 2163800 2177760 2217895 2232204 2250352 2268500 2289440 2418000 2478450 2542000 2558400 2596560 2643680 2661474 2704750 2722200 2747328 2790255 2792000 2812940 2861800 2976272 3050400 3172416 3198000 3224000 3245700 3304600 3375528 3402750 3434160 3462080 3516175 3548632 3577250 3629600 3720340 3813000 3965520 4057125 4130750 4188000 4219410 4264000 4292700 4327600 4355520 4435790 4464408 4500704 4537000 4578880 4650425 4836000 4956900 5084000 5193120 5287360 5322948 5365875 5409500 5444400 5580510 5625880 5723600 5766527 5952544 6100800 6196125 6396000 6491400 6609200 6653685 6751056 6805500 6868320 7032350 7097264 7154500 7259200 7440680 7626000 7931040 8114250 8261500 8376000 8438820 8585400 8655200 8871580 8928816 9001408 9074000 9300850 9672000 9913800 10168000 10386240 10548525 10645896 10731750 10819000 10888800 11089475 11161020 11251760 11447200 11533054 11905088 12392250 12792000 12982800 13218400 13307370 13502112 13611000 13736640 13951275 14064700 14194528 14309000 14881360 15252000 15862080 16228500 16523000 16877640 17170800 17299581 17310400 17580875 17743160 17857632 18148000 18601700 19827600 21097050 21291792 21463500 21638000 21777600 22178950 22322040 22503520 22894400 23066108 23252125 24784500 25965600 26436800 26614740 27004224 27222000 27902550 28129400 28389056 28618000 28832635 29762720 30504000 32457000 33046000 33268425 33755280 34341600 34599162 35161750 35486320 35715264 36296000 37203400 39655200 42194100 42583584 42927000 43276000 44357900 44644080 45007040 46132216 46504250 49569000 51931200 52742625 53229480 54444000 55447375 55805100 56258800 57236000 57665270 59525440 64914000 66092000 66536850 67510560 68683200 69198324 69756375 70323500 70972640 74406800 79310400 84388200 85167168 85854000 86497905 86552000 88715800 89288160 92264432 93008500 99138000 105485250 106458960 108888000 110894750 111610200 112517600 114472000 115330540 129828000 132184000 133073700 135021120 138396648 139512750 140647000 141945280 144163175 148813600 166342125 168776400 171708000 172995810 177431600 178576320 184528864 186017000 198276000 210970500 212917920 221789500 223220400 225035200 230661080 259656000 266147400 276793296 279025500 281294000 288326350 297627200 332684250 337552800 343416000 345991620 354863200 369057728 372034000 396552000 421941000 425835840 432489525 443579000 446440800 461322160 532294800 553586592 558051000 562588000 576652700 665368500 675105600 691983240 709726400 720815875 744068000 843882000 864979050 887158000 892881600 922644320 1064589600 1107173184 1116102000 1125176000 1153305400 1330737000 1383966480 1441631750 1488136000 1687764000 1729958100 1774316000 1845288640 2129179200 2162447625 2232204000 2306610800 2661474000 2767932960 2883263500 3375528000 3459916200 3548632000 4324895250 4464408000 4613221600 5322948000 5535865920 5766527000 6919832400 8649790500 9226443200 10645896000 11533054000 13839664800 17299581000 23066108000 27679329600 34599162000 46132216000 69198324000 138396648000
- Sum of all divisors σ(n): 521895628800
- Sum of proper divisors (its aliquot sum) s(n): 383498980800
- 138396648000 is an abundant number, because the sum of its proper divisors (383498980800) is greater than itself. Its abundance is 245102332800
Bases of 138396648000
- Binary: 100000001110010001010101000010010000002
- Hexadecimal: 0x2039154240
- Base-36: 1RKTSH1C
Squares and roots of 138396648000
- 138396648000 squared (1383966480002) is 19153632177635904000000
- 138396648000 cubed (1383966480003) is 2650798490409749678049792000000000
-
The
square root of 138396648000 is 372016.9996115767 -
The
cube root of 138396648000 is 5172.5955737247
Scales and comparisons
How big is 138396648000?- 138,396,648,000 seconds is equal to 4,400 years, 30 weeks, 3 days, 1 hour, 20 minutes.
-
To count from 1 to 138,396,648,000 would take you about eight thousand, eight hundred one 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 138396648000 cubic inches would be around 431 feet tall.
Recreational maths with 138396648000
- 138396648000 backwards is 000846693831
- 138396648000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138396648000's digits is 48
- More coming soon!
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The information we have on file for 138396648000 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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