138820609884160
138,820,609,884,160 is an even composite number composed of six prime numbers multiplied together.
What does the number 138820609884160 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 720 divisors.
138820609884160 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 138820609884160:
214 × 5 × 17 × 19 × 412 × 3121
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 17 × 19 × 41 × 41 × 3121)See below for interesting mathematical facts about the number 138820609884160 from the Numbermatics database.
Names of 138820609884160
- Cardinal: 138820609884160 can be written as One hundred thirty-eight trillion, eight hundred twenty billion, six hundred nine million, eight hundred eighty-four thousand, one hundred sixty.
Scientific notation
- Scientific notation: 1.3882060988416 × 1014
Factors of 138820609884160
Divisors of 138820609884160
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 4 5 8 10 16 17 19 20 32 34 38 40 41 64 68 76 80 82 85 95 128 136 152 160 164 170 190 205 256 272 304 320 323 328 340 380 410 512 544 608 640 646 656 680 697 760 779 820 1024 1088 1216 1280 1292 1312 1360 1394 1520 1558 1615 1640 1681 2048 2176 2432 2560 2584 2624 2720 2788 3040 3116 3121 3230 3280 3362 3485 3895 4096 4352 4864 5120 5168 5248 5440 5576 6080 6232 6242 6460 6560 6724 6970 7790 8192 8405 8704 9728 10240 10336 10496 10880 11152 12160 12464 12484 12920 13120 13243 13448 13940 15580 15605 16384 16810 17408 19456 20480 20672 20992 21760 22304 24320 24928 24968 25840 26240 26486 26896 27880 28577 31160 31210 31939 33620 34816 38912 40960 41344 41984 43520 44608 48640 49856 49936 51680 52480 52972 53057 53792 55760 57154 59299 62320 62420 63878 66215 67240 69632 77824 81920 82688 83968 87040 89216 97280 99712 99872 103360 104960 105944 106114 107584 111520 114308 118598 124640 124840 127756 127961 132430 134480 139264 142885 155648 159695 165376 167936 174080 178432 194560 199424 199744 206720 209920 211888 212228 215168 223040 228616 237196 249280 249680 255512 255922 264860 265285 268960 278528 285770 296495 311296 319390 330752 335872 348160 356864 389120 398848 399488 413440 419840 423776 424456 430336 446080 457232 474392 498560 499360 511024 511844 529720 530570 537920 542963 571540 592990 638780 639805 661504 671744 696320 713728 778240 797696 798976 826880 839680 847552 848912 860672 892160 914464 948784 997120 998720 1008083 1022048 1023688 1059440 1061140 1075840 1085926 1143080 1185980 1277560 1279610 1323008 1392640 1427456 1556480 1595392 1597952 1653760 1679360 1695104 1697824 1721344 1784320 1828928 1897568 1994240 1997440 2016166 2044096 2047376 2118880 2122280 2151680 2171852 2175337 2286160 2371960 2431259 2555120 2559220 2646016 2714815 2854912 3190784 3195904 3307520 3358720 3390208 3395648 3442688 3568640 3657856 3795136 3988480 3994880 4032332 4088192 4094752 4237760 4244560 4303360 4343704 4350674 4572320 4743920 4862518 5040415 5110240 5118440 5246401 5292032 5429630 5709824 6381568 6391808 6615040 6780416 6791296 6885376 7137280 7315712 7590272 7976960 7989760 8064664 8176384 8189504 8475520 8489120 8606720 8687408 8701348 9144640 9487840 9725036 10080830 10220480 10236880 10492802 10859260 10876685 11419648 12156295 12763136 12783616 13230080 13560832 13582592 13770752 14274560 14631424 15180544 15953920 15979520 16129328 16352768 16379008 16951040 16978240 17213440 17374816 17402696 18289280 18975680 19450072 20161660 20440960 20473760 20985604 21718520 21753370 24312590 25567232 26232005 26460160 27121664 27165184 27541504 28549120 29262848 30361088 31907840 31959040 32258656 32705536 32758016 33902080 33956480 34426880 34749632 34805392 36578560 37951360 38900144 40323320 40881920 40947520 41331403 41971208 43437040 43506740 48625180 51134464 52464010 54243328 54330368 57098240 58525696 60722176 63815680 63918080 64517312 65411072 65516032 67804160 67912960 68853760 69499264 69610784 73157120 75902720 77800288 80646640 81763840 81895040 82662806 83942416 86874080 87013480 89188817 97250360 99681619 104928020 108486656 108660736 117051392 121444352 127836160 129034624 130822144 131032064 135608320 135825920 137707520 138998528 139221568 146314240 151805440 155600576 161293280 163527680 163790080 165325612 167884832 173748160 174026960 178377634 194500720 199363238 206657015 209856040 216973312 217321472 234102784 242888704 255672320 258069248 261644288 262064128 271216640 271651840 277997056 278443136 292628480 303610880 311201152 322586560 327055360 327580160 330651224 335769664 347496320 348053920 356755268 389001440 398726476 413314030 419712080 434642944 445944085 468205568 485777408 498408095 516138496 523288576 524128256 542433280 543303680 555994112 556886272 585256960 607221760 622402304 645173120 654110720 655160320 661302448 671539328 694992640 696107840 713510536 778002880 797452952 826628060 839424160 869285888 891888170 971554816 996816190 1032276992 1048256512 1084866560 1086607360 1111988224 1113772544 1170513920 1214443520 1244804608 1290346240 1308221440 1310320640 1322604896 1343078656 1389985280 1392215680 1427021072 1556005760 1594905904 1653256120 1678848320 1694587523 1783776340 1993632380 2064553984 2096513024 2173214720 2223976448 2227545088 2341027840 2428887040 2489609216 2580692480 2616442880 2620641280 2645209792 2686157312 2779970560 2784431360 2854042144 3112011520 3189811808 3306512240 3357696640 3389175046 3567552680 3987264760 4129107968 4346429440 4447952896 4455090176 4857774080 4979218432 5161384960 5241282560 5290419584 5372314624 5559941120 5568862720 5708084288 6224023040 6379623616 6613024480 6715393280 6778350092 7135105360 7974529520 8258215936 8472937615 8895905792 8910180352 9958436864 10322769920 10482565120 10580839168 10744629248 11119882240 11137725440 11416168576 12448046080 12759247232 13226048960 13430786560 13556700184 14270210720 15949059040 16516431872 16945875230 17820360704 19916873728 20645539840 21161678336 21489258496 22239764480 22275450880 22832337152 24896092160 25518494464 26452097920 26861573120 27113400368 28540421440 31898118080 33891750460 35640721408 39833747456 41291079680 42323356672 42978516992 44479528960 44550901760 45664674304 49792184320 51036988928 52904195840 53723146240 54226800736 57080842880 63796236160 67783500920 82582159360 84646713344 85957033984 89101803520 91329348608 99584368640 102073977856 105808391680 107446292480 108453601472 114161685760 127592472320 135567001840 169293426688 178203607040 182658697216 199168737280 204147955712 211616783360 214892584960 216907202944 228323371520 255184944640 271134003680 338586853376 365317394432 408295911424 423233566720 429785169920 433814405888 456646743040 510369889280 542268007360 677173706752 730634788864 816591822848 846467133440 867628811776 913293486080 1020739778560 1084536014720 1461269577728 1633183645696 1692934266880 1735257623552 1826586972160 2041479557120 2169072029440 3385868533760 3470515247104 3653173944320 4082959114240 4338144058880 6941030494208 7306347888640 8165918228480 8676288117760 13882060988416 17352576235520 27764121976832 34705152471040 69410304942080 138820609884160
- Sum of all divisors σ(n): 380722556884320
- Sum of proper divisors (its aliquot sum) s(n): 241901947000160
- 138820609884160 is an abundant number, because the sum of its proper divisors (241901947000160) is greater than itself. Its abundance is 103081337116000
Bases of 138820609884160
- Binary: 111111001000001101100010010001111000000000000002
- Hexadecimal: 0x7E41B123C000
- Base-36: 1D7HB2VSHS
Squares and roots of 138820609884160
- 138820609884160 squared (1388206098841602) is 19271161728610141088618905600
- 138820609884160 cubed (1388206098841603) is 2675234424341942863465941789218801975296000
-
The
square root of 138820609884160 is 11782215.8308257111 -
The
cube root of 138820609884160 is 51778.7206918109
Scales and comparisons
How big is 138820609884160?- 138,820,609,884,160 seconds is equal to 4,414,065 years, 51 weeks, 4 days, 19 hours, 22 minutes, 40 seconds.
-
To count from 1 to 138,820,609,884,160 would take you about eleven million, thirty-five thousand, one hundred sixty-four 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 138820609884160 cubic inches would be around 4314.9 feet tall.
Recreational maths with 138820609884160
- 138820609884160 backwards is 061488906028831
- 138820609884160 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138820609884160's digits is 64
- More coming soon!
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