138023301827520
138,023,301,827,520 is an even composite number composed of six prime numbers multiplied together.
What does the number 138023301827520 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1344 divisors.
138023301827520 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 138023301827520:
26 × 33 × 5 × 173 × 792 × 521
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 17 × 17 × 17 × 79 × 79 × 521)See below for interesting mathematical facts about the number 138023301827520 from the Numbermatics database.
Names of 138023301827520
- Cardinal: 138023301827520 can be written as One hundred thirty-eight trillion, twenty-three billion, three hundred one million, eight hundred twenty-seven thousand, five hundred twenty.
Scientific notation
- Scientific notation: 1.3802330182752 × 1014
Factors of 138023301827520
Divisors of 138023301827520
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 32 34 36 40 45 48 51 54 60 64 68 72 79 80 85 90 96 102 108 120 135 136 144 153 158 160 170 180 192 204 216 237 240 255 270 272 288 289 306 316 320 340 360 395 408 432 459 474 480 510 521 540 544 576 578 612 632 680 711 720 765 790 816 864 867 918 948 960 1020 1042 1080 1088 1156 1185 1224 1264 1343 1360 1422 1440 1445 1530 1563 1580 1632 1728 1734 1836 1896 2040 2084 2133 2160 2295 2312 2370 2448 2528 2601 2605 2686 2720 2844 2880 2890 3060 3126 3160 3264 3468 3555 3672 3792 4029 4080 4168 4266 4320 4335 4590 4624 4689 4740 4896 4913 5056 5202 5210 5372 5440 5688 5780 6120 6241 6252 6320 6715 6936 7110 7344 7584 7803 7815 8058 8160 8336 8532 8640 8670 8857 9180 9248 9378 9480 9792 9826 10404 10420 10665 10744 11376 11560 12087 12240 12482 12504 12640 13005 13430 13872 14067 14220 14688 14739 15168 15606 15630 16116 16320 16672 17064 17340 17714 18360 18496 18723 18756 18960 19652 20145 20808 20840 21330 21488 22752 22831 23120 23445 24174 24480 24565 24964 25008 25280 26010 26571 26860 27744 28134 28440 29376 29478 31205 31212 31260 32232 33344 34128 34680 35428 36261 36720 37446 37512 37920 39015 39304 40290 41159 41616 41680 42660 42976 44217 44285 45504 45662 46240 46890 48348 48960 49130 49928 50016 52020 53142 53720 55488 56169 56268 56880 58956 60435 62410 62424 62520 64464 68256 68493 69360 70335 70856 72522 73440 73695 74892 75024 75840 78030 78608 79713 80580 82318 83232 83360 85320 85952 88434 88570 91324 92480 93615 93780 96696 98260 99856 100032 104040 106097 106284 107440 112338 112536 113760 114155 117912 120870 123477 124820 124848 125040 128928 132651 132855 136512 136986 138720 140670 141712 145044 146880 147390 149784 150048 150569 156060 157216 159426 161160 164636 166464 166720 168507 170640 176868 177140 181305 182648 187230 187560 193392 196520 199712 205479 205795 208080 212194 212568 214880 221085 224676 225072 227520 228310 235824 239139 241740 246954 249640 249696 250080 257856 265302 265710 273972 277440 280845 281340 283424 290088 294780 299568 300096 301138 312120 314432 318291 318852 322320 329272 337014 341280 342465 353736 354280 362610 365296 370431 374460 375120 386784 388127 393040 398565 399424 410958 411590 416160 424388 425136 429760 442170 449352 450144 451707 456620 471648 478278 483480 493908 499280 499392 500160 530485 530604 531420 547944 561690 562680 566848 580176 589560 599136 602276 616437 617385 624240 636582 637704 644640 658544 663255 674028 682560 684930 699703 707472 708560 725220 730592 740862 748920 750240 752845 773568 776254 786080 797130 821916 823180 832320 842535 848776 850272 884340 898704 900288 903414 913240 943296 954873 956556 966960 987816 998560 1027395 1060970 1061208 1062840 1095888 1111293 1123380 1125360 1160352 1164381 1179120 1195695 1198272 1204552 1232874 1234770 1248480 1273164 1275408 1289280 1317088 1326510 1348056 1355121 1369860 1399406 1414944 1417120 1450440 1461184 1481724 1497840 1500480 1505690 1552508 1572160 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54597825090 56382067740 58237680096 59698659960 60140872256 63899676772 64708533440 66229991280 67658481288 72797100120 75176090320 79598213280 79874595965 84573101610 87356520144 88306655040 90211308384 95517855936 95849515158 97062800160 101487721932 102772376640 109195650180 112764135480 116475360192 119397319920 126859652415 127799353544 132459982560 135316962576 143774272737 145594200240 150352180640 159196426560 159749191930 169146203220 174713040288 180422616768 191699030316 194125600320 202975443864 218391300360 225528270960 238794639840 239623787895 253719304830 255598707088 264919965120 270633925152 287548545474 291188400480 300704361280 319498383860 338292406440 349426080576 383398060632 405950887728 431322818211 436782600720 451056541920 477589279680 479247575790 507438609660 511197414176 541267850304 575097090948 582376800960 638996767720 676584812880 718871363685 766796121264 811901775456 862645636422 873565201440 902113083840 958495151580 1014877219320 1022394828352 1150194181896 1277993535440 1353169625760 1437742727370 1533592242528 1623803550912 1725291272844 1747130402880 1916990303160 2029754438640 2156614091055 2300388363792 2555987070880 2706339251520 2875485454740 3067184485056 3450582545688 3833980606320 4059508877280 4313228182110 4600776727584 5111974141760 5750970909480 6901165091376 7667961212640 8119017754560 8626456364220 9201553455168 11501941818960 13802330182752 15335922425280 17252912728440 23003883637920 27604660365504 34505825456880 46007767275840 69011650913760 138023301827520
- Sum of all divisors σ(n): 524978791747200
- Sum of proper divisors (its aliquot sum) s(n): 386955489919680
- 138023301827520 is an abundant number, because the sum of its proper divisors (386955489919680) is greater than itself. Its abundance is 248932188092160
Bases of 138023301827520
- Binary: 111110110001000000011011110000001001011110000002
- Hexadecimal: 0x7D880DE04BC0
- Base-36: 1CXB1292O0
Squares and roots of 138023301827520
- 138023301827520 squared (1380233018275202) is 19050431847370685771829350400
- 138023301827520 cubed (1380233018275203) is 2629403504814243583197809640797894443008000
-
The
square root of 138023301827520 is 11748331.8742500631 -
The
cube root of 138023301827520 is 51679.4009510433
Scales and comparisons
How big is 138023301827520?- 138,023,301,827,520 seconds is equal to 4,388,714 years, 3 weeks, 2 days, 7 hours, 12 minutes.
-
To count from 1 to 138,023,301,827,520 would take you about ten million, nine hundred seventy-one thousand, seven hundred eighty-five 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 138023301827520 cubic inches would be around 4306.6 feet tall.
Recreational maths with 138023301827520
- 138023301827520 backwards is 025728103320831
- 138023301827520 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138023301827520's digits is 45
- More coming soon!
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"Number 138023301827520 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
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The information we have on file for 138023301827520 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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