138744103680
138,744,103,680 is an even composite number composed of seven prime numbers multiplied together.
138744103680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138744103680:
28 × 32 × 5 × 73 × 13 × 37 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 7 × 13 × 37 × 73)See below for interesting mathematical facts about the number 138744103680 from the Numbermatics database.
Names of 138744103680
- Cardinal: 138744103680 can be written as One hundred thirty-eight billion, seven hundred forty-four million, one hundred three thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3874410368 × 1011
Factors of 138744103680
Divisors of 138744103680
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 28 30 32 35 36 37 39 40 42 45 48 49 52 56 60 63 64 65 70 72 73 74 78 80 84 90 91 96 98 104 105 111 112 117 120 126 128 130 140 144 146 147 148 156 160 168 180 182 185 192 195 196 208 210 219 222 224 234 240 245 252 256 259 260 273 280 288 292 294 296 312 315 320 333 336 343 360 364 365 370 384 390 392 416 420 438 441 444 448 455 468 480 481 490 504 511 518 520 546 555 560 576 584 585 588 592 624 630 637 640 657 666 672 686 720 728 730 735 740 768 777 780 784 819 832 840 876 882 888 896 910 936 949 960 962 980 1008 1022 1029 1036 1040 1092 1095 1110 1120 1152 1168 1170 1176 1184 1248 1260 1274 1280 1295 1314 1332 1344 1365 1372 1440 1443 1456 1460 1470 1480 1533 1554 1560 1568 1638 1664 1665 1680 1715 1752 1764 1776 1792 1813 1820 1872 1898 1911 1920 1924 1960 2016 2044 2058 2072 2080 2184 2190 2205 2220 2240 2304 2331 2336 2340 2352 2368 2405 2496 2520 2548 2555 2590 2628 2664 2688 2701 2730 2744 2847 2880 2886 2912 2920 2940 2960 3066 3087 3108 3120 3136 3185 3276 3285 3328 3330 3360 3367 3430 3504 3528 3552 3577 3626 3640 3744 3796 3822 3840 3848 3885 3920 4032 4088 4095 4116 4144 4160 4329 4368 4380 4410 4440 4459 4480 4599 4662 4672 4680 4704 4736 4745 4810 4992 5040 5096 5110 5145 5180 5256 5328 5376 5402 5439 5460 5488 5694 5733 5760 5772 5824 5840 5880 5920 6132 6174 6216 6240 6272 6370 6552 6570 6643 6660 6720 6734 6860 7008 7056 7104 7154 7215 7252 7280 7488 7592 7644 7665 7696 7770 7840 8064 8103 8176 8190 8232 8288 8320 8541 8658 8736 8760 8820 8880 8918 8960 9065 9198 9324 9344 9360 9408 9472 9490 9555 9620 9984 10080 10101 10192 10220 10290 10360 10512 10656 10731 10804 10878 10920 10976 11388 11466 11520 11544 11648 11655 11680 11760 11840 12264 12348 12432 12480 12544 12691 12740 13104 13140 13286 13320 13377 13440 13468 13505 13720 14016 14112 14208 14235 14308 14430 14504 14560 14976 15184 15288 15330 15392 15435 15540 15680 16128 16206 16317 16352 16380 16464 16576 16640 16835 17082 17316 17472 17520 17640 17760 17836 17885 18130 18396 18648 18688 18720 18816 18907 18980 19110 19240 19929 20160 20202 20384 20440 20580 20720 21024 21312 21462 21608 21645 21756 21840 21952 22295 22776 22932 22995 23088 23296 23310 23360 23520 23569 23680 24309 24528 24696 24864 24960 25039 25382 25480 26208 26280 26572 26640 26754 26880 26936 27010 27195 27440 28032 28224 28416 28470 28616 28665 28860 29008 29120 29952 30303 30368 30576 30660 30784 30870 31080 31360 32193 32412 32634 32704 32760 32928 33152 33215 33670 34164 34632 34944 35040 35113 35280 35520 35672 35770 36260 36792 37296 37440 37632 37814 37960 38073 38220 38480 39858 40131 40320 40404 40515 40768 40880 41160 41440 42048 42624 42705 42924 43216 43290 43512 43680 43904 44590 45552 45864 45990 46176 46501 46620 46720 47040 47138 47360 48618 49056 49392 49728 49920 50078 50505 50764 50960 52416 52560 53144 53280 53508 53655 53872 54020 54390 54880 56064 56448 56721 56940 57232 57330 57720 58016 58240 59787 60606 60736 61152 61320 61568 61740 62160 62720 63455 64386 64824 65268 65408 65520 65856 66304 66430 66885 67340 68328 69264 69888 70080 70226 70560 70707 71040 71344 71540 72520 73584 74592 74880 75117 75628 75920 76146 76440 76960 79716 80262 80640 80808 81030 81536 81585 81760 82320 82880 84096 85248 85410 85848 86432 86580 87024 87360 87808 89180 91104 91728 91980 92352 93002 93240 93440 94080 94276 94535 97236 98112 98784 99456 99645 100156 101010 101528 101920 104832 105120 105339 106288 106560 107016 107310 107744 108040 108780 109760 112896 113442 113880 114219 114464 114660 115440 116032 116480 117845 119574 121212 121472 121545 122304 122640 123136 123480 124320 125195 126910 128772 129648 130536 130816 131040 131712 132349 132860 133770 134680 136656 138528 139503 140160 140452 141120 141414 142080 142688 143080 145040 147168 149184 149760 150234 151256 151515 151840 152292 152880 153920 159432 160524 160965 161616 162060 163072 163170 163520 164640 164983 165760 168192 170163 170820 171696 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59393880 59521280 60218795 61939332 62497344 62922496 63353472 63527520 66703896 66961440 67416960 67878720 68821480 70787808 72112320 72262554 72602880 73100160 74115440 76233024 76527360 77424165 78121680 78653120 79191840 80900352 82585776 83329792 83379870 84703360 88484760 88938528 89281920 90504960 93746016 94383744 95030208 95291280 96149760 96350072 101125440 101644032 103232220 104162240 105589120 107138304 108393831 108904320 110114368 111173160 117182520 117979680 118584704 118787760 120437590 123878664 124994688 126706944 127055040 133407792 133922880 134833920 135757440 137642960 141575616 144224640 144525108 146200320 148230880 152466048 154848330 156243360 157306240 158383680 165171552 166759740 169406720 176969520 177877056 178563840 180656385 187492032 188767488 190060416 190582560 192700144 202250880 206464440 208324480 211178240 216787662 217808640 220228736 222346320 234365040 235959360 237169408 237575520 240875180 247757328 249989376 254110080 266815584 267845760 271514880 275285920 283151232 288449280 289050216 296461760 304932096 309696660 312486720 314612480 316767360 330343104 333519480 353939040 355754112 361312770 374984064 380120832 381165120 385400288 404501760 412928880 416648960 433575324 440457472 444692640 468730080 471918720 475151040 481750360 495514656 508220160 533631168 535691520 541969155 550571840 566302464 578100432 592923520 619393320 624973440 633534720 660686208 667038960 707878080 711508224 722625540 749968128 762330240 770800576 825857760 867150648 889385280 937460160 943837440 950302080 963500720 991029312 1067262336 1083938310 1101143680 1156200864 1185847040 1238786640 1249946880 1321372416 1334077920 1415756160 1445251080 1524660480 1541601152 1651715520 1734301296 1778770560 1874920320 1900604160 1927001440 1982058624 2134524672 2167876620 2202287360 2312401728 2477573280 2668155840 2831512320 2890502160 3083202304 3303431040 3468602592 3557541120 3749840640 3854002880 3964117248 4335753240 4624803456 4955146560 5336311680 5781004320 6606862080 6937205184 7708005760 8671506480 9249606912 9910293120 10672623360 11562008640 13874410368 15416011520 17343012960 19820586240 23124017280 27748820736 34686025920 46248034560 69372051840 138744103680
- Sum of all divisors σ(n): 627651897600
- Sum of proper divisors (its aliquot sum) s(n): 488907793920
- 138744103680 is an abundant number, because the sum of its proper divisors (488907793920) is greater than itself. Its abundance is 350163690240
Bases of 138744103680
- Binary: 100000010011011100101100000011000000002
- Hexadecimal: 0x204DCB0300
- Base-36: 1RQKNNK0
Squares and roots of 138744103680
- 138744103680 squared (1387441036802) is 19249926305966589542400
- 138744103680 cubed (1387441036803) is 2670813771227387902086749356032000
-
The
square root of 138744103680 is 372483.6958579529 -
The
cube root of 138744103680 is 5176.9206923571
Scales and comparisons
How big is 138744103680?- 138,744,103,680 seconds is equal to 4,411 years, 32 weeks, 6 days, 12 hours, 48 minutes.
-
To count from 1 to 138,744,103,680 would take you about eight thousand, eight hundred twenty-three 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 138744103680 cubic inches would be around 431.4 feet tall.
Recreational maths with 138744103680
- 138744103680 backwards is 086301447831
- 138744103680 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138744103680's digits is 45
- More coming soon!
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Numbermatics. (2024). Number 138744103680 - Facts about the integer. Retrieved 20 May 2024, from https://numbermatics.com/n/138744103680/
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The information we have on file for 138744103680 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!
Keywords: Divisors of 138744103680, math, Factors of 138744103680, curriculum, school, college, exams, university, Prime factorization of 138744103680, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight billion, seven hundred forty-four million, one hundred three thousand, six hundred eighty.