138048805440
138,048,805,440 is an even composite number composed of six prime numbers multiplied together.
138048805440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred seventy-six divisors.
Prime factorization of 138048805440:
26 × 36 × 5 × 72 × 13 × 929
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 13 × 929)See below for interesting mathematical facts about the number 138048805440 from the Numbermatics database.
Names of 138048805440
- Cardinal: 138048805440 can be written as One hundred thirty-eight billion, forty-eight million, eight hundred five thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3804880544 × 1011
Factors of 138048805440
Divisors of 138048805440
- Number of divisors d(n): 1176
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 27 28 30 32 35 36 39 40 42 45 48 49 52 54 56 60 63 64 65 70 72 78 80 81 84 90 91 96 98 104 105 108 112 117 120 126 130 135 140 144 147 156 160 162 168 180 182 189 192 195 196 208 210 216 224 234 240 243 245 252 260 270 273 280 288 294 312 315 320 324 336 351 360 364 378 390 392 405 416 420 432 441 448 455 468 480 486 490 504 520 540 546 560 567 576 585 588 624 630 637 648 672 702 720 728 729 735 756 780 784 810 819 832 840 864 882 910 929 936 945 960 972 980 1008 1040 1053 1080 1092 1120 1134 1170 1176 1215 1248 1260 1274 1296 1323 1344 1365 1404 1440 1456 1458 1470 1512 1560 1568 1620 1638 1680 1701 1728 1755 1764 1820 1858 1872 1890 1911 1944 1960 2016 2080 2106 2160 2184 2205 2240 2268 2340 2352 2430 2457 2496 2520 2548 2592 2646 2730 2787 2808 2835 2880 2912 2916 2940 3024 3120 3136 3159 3185 3240 3276 3360 3402 3510 3528 3640 3645 3716 3744 3780 3822 3888 3920 3969 4032 4095 4160 4212 4320 4368 4410 4536 4645 4680 4704 4860 4914 5040 5096 5103 5184 5265 5292 5460 5574 5616 5670 5733 5824 5832 5880 6048 6240 6318 6370 6480 6503 6552 6615 6720 6804 7020 7056 7280 7290 7371 7432 7488 7560 7644 7776 7840 7938 8190 8361 8424 8505 8640 8736 8820 9072 9290 9360 9408 9477 9555 9720 9828 10080 10192 10206 10530 10584 10920 11148 11232 11340 11466 11664 11760 11907 12077 12096 12285 12480 12636 12740 12960 13006 13104 13230 13608 13935 14040 14112 14560 14580 14742 14864 15120 15288 15552 15680 15795 15876 16380 16722 16848 17010 17199 17472 17640 18144 18580 18720 18954 19110 19440 19509 19656 19845 20160 20384 20412 21060 21168 21840 22113 22296 22464 22680 22932 23328 23520 23814 24154 24570 25083 25272 25480 25515 25920 26012 26208 26460 27216 27870 28080 28224 28665 29120 29160 29484 29728 30240 30576 31590 31752 32515 32760 33444 33696 34020 34398 35280 35721 36231 36288 36855 37160 37440 37908 38220 38880 39018 39312 39690 40768 40824 41805 42120 42336 43680 44226 44592 45360 45521 45864 46656 47040 47385 47628 48308 49140 50166 50544 50960 51030 51597 52024 52416 52920 54432 55740 56160 57330 58320 58527 58968 59456 59535 60385 60480 61152 63180 63504 65030 65520 66339 66888 67392 68040 68796 70560 71442 72462 73710 74320 75249 75816 76440 77760 78036 78624 79380 81648 83610 84240 84539 84672 85995 87360 88452 89184 90720 91042 91728 94770 95256 96616 97545 98280 100332 101088 101920 102060 103194 104048 105840 108693 108864 110565 111480 112320 114660 116640 117054 117936 119070 120770 122304 125415 126360 127008 130060 131040 132678 133776 136080 136563 137592 141120 142884 144924 147420 148640 150498 151632 152880 154791 156072 157248 158760 163296 167220 168480 169078 171990 175581 176904 178368 178605 181155 181440 182084 183456 189540 190512 193232 195090 196560 200664 202176 203840 204120 206388 208096 211680 217386 221130 222960 225747 227605 229320 233280 234108 235872 238140 241540 250830 252720 253617 254016 257985 260120 262080 265356 267552 272160 273126 275184 285768 289848 292635 294840 297280 300996 303264 305760 309582 312144 317520 326079 326592 331695 334440 336960 338156 343980 351162 353808 357210 362310 364168 366912 376245 379080 381024 386464 390180 393120 401328 408240 409689 412776 416192 422695 423360 434772 442260 445920 451494 455210 458640 464373 468216 471744 476280 483080 501660 505440 507234 515970 520240 526743 530712 535104 543465 544320 546252 550368 571536 579696 585270 589680 591773 601992 606528 611520 619164 624288 635040 652158 663390 668880 676312 677241 682815 687960 702324 707616 714420 724620 728336 752490 758160 760851 762048 772928 773955 780360 786240 802656 816480 819378 825552 845390 869544 877905 884520 891840 902988 910420 917280 928746 936432 952560 966160 978237 1003320 1010880 1014468 1031940 1040480 1053486 1061424 1086930 1092504 1100736 1128735 1143072 1159392 1170540 1179360 1183546 1203984 1229067 1238328 1248576 1268085 1270080 1304316 1326780 1337760 1352624 1354482 1365630 1375920 1404648 1415232 1428840 1449240 1456672 1504980 1516320 1521702 1547910 1560720 1580229 1605312 1630395 1632960 1638756 1651104 1690780 1739088 1755810 1769040 1775319 1805976 1820840 1834560 1857492 1872864 1905120 1932320 1956474 2006640 2028936 2048445 2063880 2080960 2106972 2122848 2173860 2185008 2257470 2282553 2286144 2318784 2321865 2341080 2358720 2367092 2407968 2458134 2476656 2536170 2608632 2633715 2653560 2675520 2705248 2708964 2731260 2751840 2809296 2857680 2898480 2913344 2934711 2958865 3009960 3032640 3043404 3095820 3121440 3160458 3260790 3277512 3302208 3381560 3386205 3478176 3511620 3538080 3550638 3611952 3641680 3687201 3714984 3745728 3804255 3810240 3864640 3912948 4013280 4057872 4096890 4127760 4213944 4245696 4347720 4370016 4514940 4565106 4643730 4682160 4734184 4740687 4815936 4891185 4916268 4953312 5072340 5217264 5267430 5307120 5325957 5410496 5417928 5462520 5503680 5618592 5715360 5796960 5869422 5917730 6019920 6086808 6145335 6191640 6242880 6320916 6521580 6555024 6763120 6772410 6847659 6956352 7023240 7076160 7101276 7223904 7283360 7374402 7429968 7608510 7825896 7901145 8026560 8115744 8193780 8255520 8427888 8695440 8740032 8804133 8876595 9029880 9130212 9287460 9364320 9468368 9481374 9782370 9832536 9906624 10144680 10434528 10534860 10614240 10651914 10835856 10925040 11061603 11237184 11412765 11430720 11593920 11738844 11835460 12039840 12173616 12290670 12383280 12641832 13043160 13110048 13526240 13544820 13695318 14046480 14202552 14447808 14566720 14673555 14748804 14859936 15217020 15651792 15802290 15977871 16231488 16387560 16511040 16855776 17390880 17608266 17753190 18059760 18260424 18436005 18574920 18728640 18936736 18962748 19564740 19665072 20289360 20542977 20869056 21069720 21228480 21303828 21671712 21850080 22123206 22825530 23477688 23670920 23703435 24079680 24347232 24581340 24766560 25283664 26086320 26220096 26629785 27052480 27089640 27390636 28092960 28405104 29347110 29497608 29719872 30434040 31303584 31604580 31955742 32775120 33184809 33711552 34238295 34781760 35216532 35506380 36119520 36520848 36872010 37149840 37873472 37925496 39129480 39330144 40578720 41085954 42139440 42607656 43343424 43700160 44020665 44246412 45651060 46955376 47341840 47406870 47933613 48694464 49162680 49533120 50567328 52172640 53259570 54179280 54781272 55308015 56185920 56810208 58694220 58995216 60868080 61628931 62607168 63209160 63911484 65550240 66369618 68476590 70433064 71012760 72239040 73041696 73744020 74299680 75850992 78258960 78660288 79889355 81157440 82171908 84278880 85215312 88041330 88492824 91302120 93910752 94683680 94813740 95867226 98325360 101134656 102714885 104345280 106519140 108358560 109562544 110616030 113620416 117388440 117990432 121736160 123257862 126418320 127822968 131100480 132739236 136953180 140866128 142025520 143800839 146083392 147488040 148599360 151701984 156517920 159778710 164343816 165924045 168557760 170430624 176082660 176985648 182604240 187821504 189367360 189627480 191734452 196650720 205429770 213038280 216717120 219125088 221232060 234776880 235980864 239668065 243472320 246515724 252836640 255645936 265478472 273906360 281732256 284051040 287601678 294976080 303403968 308144655 313035840 319557420 328687632 331848090 340861248 352165320 353971296 365208480 379254960 383468904 393301440 410859540 426076560 431402517 438250176 442464120 469553760 479336130 493031448 505673280 511291872 530956944 547812720 563464512 568102080 575203356 589952160 616289310 639114840 657375264 663696180 704330640 707942592 719004195 730416960 758509920 766937808 821719080 852153120 862805034 884928240 939107520 958672260 986062896 1022583744 1061913888 1095625440 1150406712 1179904320 1232578620 1278229680 1314750528 1327392360 1408661280 1438008390 1517019840 1533875616 1643438160 1704306240 1725610068 1769856480 1917344520 1972125792 2123827776 2157012585 2191250880 2300813424 2465157240 2556459360 2654784720 2817322560 2876016780 3067751232 3286876320 3451220136 3539712960 3834689040 3944251584 4314025170 4601626848 4930314480 5112918720 5309569440 5752033560 6573752640 6902440272 7669378080 8628050340 9203253696 9860628960 10619138880 11504067120 13804880544 15338756160 17256100680 19721257920 23008134240 27609761088 34512201360 46016268480 69024402720 138048805440
- Sum of all divisors σ(n): 618103173240
- Sum of proper divisors (its aliquot sum) s(n): 480054367800
- 138048805440 is an abundant number, because the sum of its proper divisors (480054367800) is greater than itself. Its abundance is 342005562360
Bases of 138048805440
- Binary: 100000001001000101100110011010010000002
- Hexadecimal: 0x2024599A40
- Base-36: 1RF2P000
Squares and roots of 138048805440
- 138048805440 squared (1380488054402) is 19057472683410973593600
- 138048805440 cubed (1380488054403) is 2630861338650316209183864029184000
-
The
square root of 138048805440 is 371549.1965271893 -
The
cube root of 138048805440 is 5168.2583819989
Scales and comparisons
How big is 138048805440?- 138,048,805,440 seconds is equal to 4,389 years, 27 weeks, 2 days, 2 hours, 24 minutes.
-
To count from 1 to 138,048,805,440 would take you about eight thousand, seven hundred seventy-nine 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 138048805440 cubic inches would be around 430.7 feet tall.
Recreational maths with 138048805440
- 138048805440 backwards is 044508840831
- 138048805440 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138048805440's digits is 45
- More coming soon!
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The information we have on file for 138048805440 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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