137978801382240
137,978,801,382,240 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137978801382240 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2592 divisors.
137978801382240 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 137978801382240:
25 × 33 × 5 × 72 × 13 × 732 × 972
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 7 × 13 × 73 × 73 × 97 × 97)See below for interesting mathematical facts about the number 137978801382240 from the Numbermatics database.
Names of 137978801382240
- Cardinal: 137978801382240 can be written as One hundred thirty-seven trillion, nine hundred seventy-eight billion, eight hundred one million, three hundred eighty-two thousand, two hundred forty.
Scientific notation
- Scientific notation: 1.3797880138224 × 1014
Factors of 137978801382240
Divisors of 137978801382240
- Number of divisors d(n): 2592
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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 65 70 72 73 78 80 84 90 91 96 97 98 104 105 108 112 117 120 126 130 135 140 144 146 147 156 160 168 180 182 189 194 195 196 208 210 216 219 224 234 240 245 252 260 270 273 280 288 291 292 294 312 315 336 351 360 364 365 378 388 390 392 416 420 432 438 441 455 468 480 485 490 504 511 520 540 546 560 582 584 585 588 624 630 637 657 672 679 702 720 728 730 735 756 776 780 784 819 840 864 873 876 882 910 936 945 949 970 980 1008 1022 1040 1080 1092 1095 1120 1164 1168 1170 1176 1248 1260 1261 1274 1314 1323 1358 1365 1404 1440 1455 1456 1460 1470 1512 1533 1552 1560 1568 1638 1680 1746 1752 1755 1764 1820 1872 1890 1898 1911 1940 1960 1971 2016 2037 2044 2080 2160 2184 2190 2205 2328 2336 2340 2352 2457 2520 2522 2548 2555 2619 2628 2646 2716 2730 2808 2847 2910 2912 2920 2940 3024 3066 3104 3120 3185 3276 3285 3360 3395 3492 3504 3510 3528 3577 3640 3744 3780 3783 3796 3822 3880 3920 3942 4074 4088 4095 4320 4365 4368 4380 4410 4599 4656 4680 4704 4745 4753 4914 5040 5044 5096 5110 5238 5256 5292 5329 5432 5460 5616 5694 5733 5820 5840 5880 6048 6111 6132 6240 6305 6370 6552 6570 6615 6643 6790 6984 7008 7020 7056 7081 7154 7280 7560 7566 7592 7644 7665 7760 7840 7884 8148 8176 8190 8541 8730 8736 8760 8820 8827 9198 9312 9360 9409 9490 9506 9555 9828 9855 10080 10088 10185 10192 10220 10476 10512 10584 10658 10731 10864 10920 11232 11349 11388 11466 11640 11680 11760 12222 12264 12285 12610 12740 13095 13104 13140 13230 13286 13580 13797 13968 14040 14112 14162 14235 14259 14308 14560 15120 15132 15184 15288 15330 15520 15768 15987 16296 16352 16380 17082 17199 17460 17520 17640 17654 17885 18333 18396 18720 18818 18915 18980 19012 19110 19656 19710 19929 20176 20370 20384 20440 20952 21024 21168 21243 21316 21462 21728 21840 22698 22776 22932 22995 23280 23520 23765 24444 24528 24570 25220 25480 25623 26190 26208 26280 26460 26481 26572 26645 27160 27594 27936 28080 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94830791328 95818612071 98275499560 101083370976 101604419280 104292366880 105006698160 108303611760 109420143840 109506985224 110559937005 117328912740 117930599472 118132535430 118538489160 123195358377 126008037792 126354213720 127758149428 132671924406 135008611920 136883731530 140794695288 142246186992 145393889760 146009313632 147413249340 151625056464 156438550320 157510047240 158051318880 159697686785 164260477836 168472284960 175993369110 176895899208 177807733740 182511642040 187726260384 189012056688 189531320580 191637224142 196550999120 203208838560 205325597295 210013396320 216607223520 219013970448 221119874010 234657825480 235861198944 236265070860 237076978320 246390716754 252708427440 255516298856 265343848812 270017223840 273767463060 281589390576 284492373984 287455836213 294826498680 303250112928 312877100640 315020094480 319395373570 328520955672 331679811015 351986738220 353791798416 355615467480 365023284080 378024113376 379062641160 383274448284 393101998240 410651194590 438027940896 442239748020 469315650960 472530141720 474153956640 479093060355 492781433508 505416854880 511032597712 530687697624 547534926120 563178781152 574911672426 589652997360 615976791885 630040188960 638790747140 657041911344 663359622030 703973476440 707583596832 711230934960 730046568160 758125282320 766548896568 821302389180 862367508639 884479496040 938631301920 945060283440 958186120710 985562867016 1022065195424 1061375395248 1095069852240 1149823344852 1179305994720 1231953583770 1277581494280 1314083822688 1326719244060 1407946952880 1422461869920 1437279181065 1516250564640 1533097793136 1642604778360 1724735017278 1768958992080 1890120566880 1916372241420 1971125734032 2122750790496 2190139704480 2299646689704 2463907167540 2555162988560 2653438488120 2815893905760 2874558362130 3066195586272 3285209556720 3449470034556 3537917984160 3832744482840 3942251468064 4311837543195 4599293379408 4927814335080 5110325977120 5306876976240 5749116724260 6570419113440 6898940069112 7665488965680 8623675086390 9198586758816 9855628670160 10613753952480 11498233448520 13797880138224 15330977931360 17247350172780 19711257340320 22996466897040 27595760276448 34494700345560 45992933794080 68989400691120 137978801382240
- Sum of all divisors σ(n): 619773701268960
- Sum of proper divisors (its aliquot sum) s(n): 481794899886720
- 137978801382240 is an abundant number, because the sum of its proper divisors (481794899886720) is greater than itself. Its abundance is 343816098504480
Bases of 137978801382240
- Binary: 111110101111101101100010111000101100011011000002
- Hexadecimal: 0x7D7DB1716360
- Base-36: 1CWQL3U3C0
Squares and roots of 137978801382240
- 137978801382240 squared (1379788013822402) is 19038149630879634934587417600
- 137978801382240 cubed (1379788013822403) is 2626861066604506918499516967530992103424000
-
The
square root of 137978801382240 is 11746437.8167272481 -
The
cube root of 137978801382240 is 51673.8463248203
Scales and comparisons
How big is 137978801382240?- 137,978,801,382,240 seconds is equal to 4,387,299 years, 4 weeks, 3 days, 20 hours, 24 minutes.
-
To count from 1 to 137,978,801,382,240 would take you about ten million, nine hundred sixty-eight thousand, two hundred forty-seven 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 137978801382240 cubic inches would be around 4306.2 feet tall.
Recreational maths with 137978801382240
- 137978801382240 backwards is 042283108879731
- 137978801382240 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137978801382240's digits is 63
- More coming soon!
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"Number 137978801382240 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
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Numbermatics. (2024). Number 137978801382240 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/137978801382240/
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The information we have on file for 137978801382240 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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