138434662142400
138,434,662,142,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138434662142400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2268 divisors.
138434662142400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, two hundred sixty-eight divisors.
Prime factorization of 138434662142400:
26 × 3 × 52 × 13 × 192 × 372 × 672
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 19 × 19 × 37 × 37 × 67 × 67)See below for interesting mathematical facts about the number 138434662142400 from the Numbermatics database.
Names of 138434662142400
- Cardinal: 138434662142400 can be written as One hundred thirty-eight trillion, four hundred thirty-four billion, six hundred sixty-two million, one hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.384346621424 × 1014
Factors of 138434662142400
Divisors of 138434662142400
- Number of divisors d(n): 2268
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 25 26 30 32 37 38 39 40 48 50 52 57 60 64 65 67 74 75 76 78 80 95 96 100 104 111 114 120 130 134 148 150 152 156 160 185 190 192 195 200 201 208 222 228 240 247 260 268 285 296 300 304 312 320 325 335 361 370 380 390 400 402 416 444 456 475 480 481 494 520 536 555 570 592 600 608 624 650 670 703 722 740 741 760 780 800 804 832 871 888 912 925 950 960 962 975 988 1005 1040 1072 1083 1110 1140 1184 1200 1216 1235 1248 1273 1300 1340 1369 1406 1425 1443 1444 1480 1482 1520 1560 1600 1608 1675 1742 1776 1805 1824 1850 1900 1924 1950 1976 2010 2080 2109 2144 2166 2220 2280 2368 2400 2405 2470 2479 2496 2546 2600 2613 2680 2738 2775 2812 2850 2886 2888 2960 2964 3040 3120 3216 3350 3484 3515 3552 3610 3648 3700 3705 3800 3819 3848 3900 3952 4020 4107 4160 4218 4288 4332 4355 4440 4489 4560 4693 4800 4810 4940 4958 5025 5092 5200 5226 5360 5415 5476 5550 5624 5700 5772 5776 5920 5928 6080 6175 6240 6365 6432 6700 6845 6968 7030 7104 7215 7220 7400 7410 7437 7600 7638 7696 7800 7904 8040 8214 8436 8664 8710 8880 8978 9025 9120 9139 9386 9620 9880 9916 10050 10184 10400 10452 10545 10720 10830 10952 11100 11248 11400 11544 11552 11840 11856 12025 12350 12395 12480 12730 12864 13065 13357 13400 13467 13690 13936 14060 14079 14430 14440 14800 14820 14874 15200 15276 15392 15600 15808 16080 16428 16549 16872 17328 17420 17575 17760 17797 17956 18050 18240 18278 18525 18772 19095 19240 19760 19832 20100 20368 20535 20800 20904 21090 21440 21660 21775 21904 22200 22445 22496 22800 23088 23104 23465 23712 24050 24187 24700 24790 25460 26011 26130 26714 26800 26934 27075 27380 27417 27872 28120 28158 28860 28880 29600 29640 29748 30400 30552 30784 31200 31825 32160 32227 32856 33098 33744 34225 34656 34840 35150 35520 35594 35912 36075 36100 36556 37050 37185 37544 38190 38480 39520 39664 40071 40200 40736 41070 41808 42180 43320 43550 43808 44400 44890 44992 45600 45695 46176 46930 47101 47424 48100 48374 49400 49580 49647 50920 52022 52260 52725 53391 53428 53600 53868 54150 54760 54834 55744 56240 56316 57720 57760 58357 59200 59280 59496 61104 61975 62400 63650 64320 64454 65325 65712 66196 66785 67335 67488 68450 69312 69680 70300 70395 71188 71824 72150 72200 72561 73112 74100 74370 75088 76380 76960 78033 79040 79328 80142 80400 81472 82140 82745 83616 84360 85291 86640 87100 87616 88800 88985 89780 91200 91390 91723 92352 93860 94202 95475 96200 96681 96748 98800 99160 99294 101840 102675 104044 104520 105450 106782 106856 107200 107736 108300 109520 109668 112225 112480 112632 115440 115520 116714 117325 118560 118992 120935 122208 123950 127300 128908 130055 130650 131424 132392 133570 134670 134976 136900 137085 139360 140600 140790 141303 142376 143648 144300 144400 145122 146224 148200 148740 150176 152760 153920 156066 158656 160284 160800 161135 164280 165490 166093 167232 168720 170582 173280 173641 174200 175071 177600 177970 179560 182780 183446 185925 187720 188404 190950 192400 193362 193496 197600 198320 198588 200355 203680 205350 208088 209040 210900 213564 213712 215472 216600 219040 219336 224450 224960 225264 228475 230880 233428 234650 235505 237120 237984 241870 244416 247900 248235 254600 255873 257816 260110 261300 262848 264784 266955 267140 269340 273800 274170 275169 278720 281200 281580 282606 284752 287296 288600 288800 290244 291785 292448 296400 297480 300352 305520 312132 314431 320568 321600 322270 328560 330980 332186 333925 336675 337440 338143 341164 346560 347282 348400 350142 351975 355940 359120 362805 365560 366892 371850 375440 376808 381900 384800 386724 386992 390165 395200 396640 397176 400710 407360 410700 413725 416176 418080 421800 426455 427128 427424 430944 433200 438080 438672 444925 448900 450528 456950 458615 461760 466856 469300 471010 475968 483405 483740 494209 495800 496470 498279 509200 511746 515632 520220 520923 522600 529568 533910 534280 538680 547600 548340 550338 562400 563160 565212 569504 577200 577600 580488 583570 584896 592800 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33277563015 33707003200 34436483120 35029013700 35496067216 35975743800 36248929600 36430174248 37364281280 37414773552 37948098175 38347551840 38973722450 39383972160 39734403600 41323779744 43045603900 44370084020 45537717810 46705351600 46768466940 47934439800 47967658400 48573565664 49229965200 49886364736 50560504800 51654724680 52979204800 53244100824 54373394400 55462605025 55842945600 56046421920 57561190080 57681109226 58460583675 60716957080 62357955920 63912586400 64568405850 65639953600 66555126030 68872966240 70058027400 70992134432 71951487600 72860348496 74829547104 75896196350 76695103680 77947444900 79468807200 82647559488 86091207800 86521663839 88740168040 91075435620 93410703200 93536933880 95868879600 95935316800 97147131328 98459930400 101121009600 103309449360 106488201648 108746788800 110925210050 112092843840 113844294525 115362218452 116921167350 121433914160 124715911840 127825172800 129136811700 133110252060 137745932480 140116054800 141984268864 143902975200 144202773065 145720696992 149659094208 151792392700 155894889800 158937614400 166387815075 172182415600 173043327678 177480336080 182150871240 186821406400 187073867760 191737759200 196919860800 206618898720 212976403296 221850420100 227688589050 230724436904 233842334700 242867828320 249431823680 258273623400 266220504120 280232109600 287805950400 288405546130 291441393984 303584785400 311789779600 332775630150 344364831200 346086655356 354960672160 364301742480 374147735520 383475518400 413237797440 425952806592 432608319195 443700840200 455377178100 461448873808 467684669400 485735656640 516547246800 532441008240 560464219200 576811092260 607169570800 623579559200 665551260300 688729662400 692173310712 709921344320 721013865325 728603484960 748295471040 865216638390 887401680400 910754356200 922897747616 935369338800 1033094493600 1064882016480 1153622184520 1214339141600 1247159118400 1331102520600 1384346621424 1442027730650 1457206969920 1730433276780 1774803360800 1821508712400 1845795495232 1870738677600 2066188987200 2129764032960 2163041595975 2307244369040 2428678283200 2662205041200 2768693242848 2884055461300 3460866553560 3549606721600 3643017424800 3741477355200 4326083191950 4614488738080 5324410082400 5537386485696 5768110922600 6921733107120 7286034849600 8652166383900 9228977476160 10648820164800 11536221845200 13843466214240 17304332767800 23072443690400 27686932428480 34608665535600 46144887380800 69217331071200 138434662142400
- Sum of all divisors σ(n): 538581638834568
- Sum of proper divisors (its aliquot sum) s(n): 400146976692168
- 138434662142400 is an abundant number, because the sum of its proper divisors (400146976692168) is greater than itself. Its abundance is 261712314549768
Bases of 138434662142400
- Binary: 111110111100111110101001101110010010001110000002
- Hexadecimal: 0x7DE7D4DC91C0
- Base-36: 1D2K07K91C
Squares and roots of 138434662142400
- 138434662142400 squared (1384346621424002) is 19164155682480435757877760000
- 138434662142400 cubed (1384346621424003) is 2652983417148534214939735594838913024000000
-
The
square root of 138434662142400 is 11765826.0289025181 -
The
cube root of 138434662142400 is 51730.6912513663
Scales and comparisons
How big is 138434662142400?- 138,434,662,142,400 seconds is equal to 4,401,794 years, 2 weeks, 4 days, 1 hour, 20 minutes.
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To count from 1 to 138,434,662,142,400 would take you about eleven million, four thousand, four 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 138434662142400 cubic inches would be around 4310.9 feet tall.
Recreational maths with 138434662142400
- 138434662142400 backwards is 004241266434831
- 138434662142400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138434662142400's digits is 48
- More coming soon!
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The information we have on file for 138434662142400 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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