138125340288
138,125,340,288 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138125340288 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1024 divisors.
138125340288 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 138125340288:
27 × 33 × 13 × 19 × 43 × 53 × 71
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 19 × 43 × 53 × 71)See below for interesting mathematical facts about the number 138125340288 from the Numbermatics database.
Names of 138125340288
- Cardinal: 138125340288 can be written as One hundred thirty-eight billion, one hundred twenty-five million, three hundred forty thousand, two hundred eighty-eight.
Scientific notation
- Scientific notation: 1.38125340288 × 1011
Factors of 138125340288
Divisors of 138125340288
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 32 36 38 39 43 48 52 53 54 57 64 71 72 76 78 86 96 104 106 108 114 117 128 129 142 144 152 156 159 171 172 192 208 212 213 216 228 234 247 258 284 288 304 312 318 342 344 351 384 387 416 424 426 432 456 468 477 494 513 516 559 568 576 608 624 636 639 684 688 689 702 741 774 817 832 848 852 864 912 923 936 954 988 1007 1026 1032 1118 1136 1152 1161 1216 1248 1272 1278 1349 1368 1376 1378 1404 1431 1482 1548 1634 1664 1677 1696 1704 1728 1824 1846 1872 1908 1917 1976 2014 2052 2064 2067 2223 2236 2272 2279 2322 2432 2451 2496 2544 2556 2698 2736 2752 2756 2769 2808 2862 2964 3021 3053 3096 3268 3354 3392 3408 3456 3648 3692 3744 3763 3816 3834 3952 4028 4047 4104 4128 4134 4446 4472 4544 4558 4644 4902 4992 5031 5088 5112 5396 5472 5504 5512 5538 5616 5724 5928 6042 6106 6192 6201 6536 6669 6708 6784 6816 6837 7296 7353 7384 7488 7526 7632 7668 7904 8056 8094 8208 8256 8268 8307 8892 8944 9063 9088 9116 9159 9288 9804 10062 10176 10224 10621 10792 10944 11024 11076 11232 11289 11448 11856 12084 12141 12212 12384 12402 13072 13091 13338 13416 13632 13674 14706 14768 14976 15052 15093 15264 15336 15808 16112 16188 16416 16512 16536 16614 17537 17784 17888 18126 18232 18318 18576 18603 19608 20124 20352 20448 20511 21242 21584 21888 22048 22059 22152 22464 22578 22896 23712 24168 24282 24424 24768 24804 24921 26144 26182 26676 26832 27189 27264 27348 27477 29412 29536 29627 30104 30186 30528 30672 31616 31863 32224 32376 32832 33072 33228 33867 35074 35568 35776 36252 36423 36464 36636 37152 37206 39216 39273 39689 40248 40896 41022 42484 43168 43301 44096 44118 44304 44928 45156 45792 47424 48336 48564 48848 48919 49536 49608 49842 52288 52364 52611 53352 53664 54378 54696 54954 58007 58824 59072 59254 60208 60372 61056 61344 61533 63726 64448 64752 65664 66144 66456 67734 70148 71136 71497 71552 72504 72846 72928 73272 74304 74412 78432 78546 79378 80496 81792 82044 82431 84968 86336 86602 88192 88236 88608 88881 90312 91584 94848 95589 96672 97128 97696 97838 99216 99684 101601 104576 104728 105222 106704 107328 108756 109392 109908 116014 117648 117819 118144 118508 119067 120416 120744 122688 123066 127452 128896 129504 129903 132288 132912 135468 140296 142272 142994 145008 145692 145856 146544 146757 148608 148824 156864 157092 157833 158756 160992 161809 164088 164862 169936 172672 173204 174021 176472 177216 177762 180624 183168 191178 193344 194256 195392 195676 198432 199368 203202 209456 210444 213408 214491 214656 217512 218784 219816 232028 235296 235638 237016 238134 240832 241488 245376 246132 254904 259008 259806 264576 265824 266643 270936 280592 284544 285988 286767 290016 291384 291712 293088 293514 297648 313728 314184 315666 317512 321984 323618 328176 329724 339872 346408 348042 352944 353457 354432 355524 357201 361248 382356 386688 388512 389709 390784 391352 396864 398736 406404 418912 420888 426816 428982 435024 437568 439632 440271 464056 470592 471276 473499 474032 476268 481664 482976 485427 492264 509808 518016 519612 522063 531648 533286 541872 561184 562913 571976 573534 580032 582768 586176 587028 595296 628368 631332 635024 643473 643968 647236 656352 659448 679744 692816 696084 705888 706914 711048 714402 722496 754091 764712 777024 779418 782704 793728 797472 799929 812808 837824 841776 853632 857964 870048 875136 879264 880542 928112 929461 941184 942552 946998 948064 952536 965952 970854 984528 1019616 1039224 1044126 1063296 1066572 1071603 1083744 1122368 1125826 1143952 1147068 1160064 1165536 1169127 1172352 1174056 1190592 1256736 1262664 1270048 1286946 1294472 1312704 1318896 1320813 1359488 1385632 1392168 1411776 1413828 1422096 1428804 1444992 1456281 1508182 1529424 1554048 1558836 1565408 1566189 1594944 1599858 1625616 1675648 1683552 1688739 1715928 1740096 1758528 1761084 1856224 1858922 1885104 1893996 1896128 1905072 1930419 1931904 1941708 1969056 2039232 2078448 2088252 2103517 2133144 2143206 2167488 2244736 2251652 2262273 2287904 2294136 2331072 2338254 2348112 2381184 2513472 2525328 2540096 2573892 2588944 2625408 2637792 2641626 2771264 2784336 2788383 2823552 2827656 2844192 2857608 2912562 3016364 3058848 3074371 3117672 3130816 3132378 3189888 3199716 3251232 3367104 3377478 3431856 3480192 3517056 3522168 3712448 3717844 3770208 3787992 3792256 3810144 3860838 3883416 3938112 4078464 4156896 4176504 4207034 4266288 4286412 4334976 4368843 4503304 4524546 4575808 4588272 4662144 4676508 4696224 5026944 5050656 5066217 5080192 5147784 5177888 5275584 5283252 5542528 5568672 5576766 5655312 5688384 5715216 5825124 6032728 6117696 6148742 6235344 6261632 6264756 6310551 6399432 6502464 6734208 6754956 6786819 6863712 7044336 7424896 7435688 7540416 7575984 7620288 7721676 7766832 7876224 8313792 8353008 8365149 8414068 8532576 8572824 8737686 9006608 9049092 9151616 9176544 9223113 9353016 9392448 10101312 10132434 10295568 10355776 10551168 10566504 11137344 11153532 11310624 11376768 11430432 11650248 12065456 12235392 12297484 12470688 12529512 12621102 12798864 13004928 13509912 13573638 13727424 14088672 14871376 15080832 15151968 15198651 15240576 15443352 15533664 16627584 16706016 16730298 16828136 17065152 17145648 17475372 18013216 18098184 18353088 18446226 18706032 18784896 18931653 20202624 20264868 20360457 20591136 20711552 21133008 22274688 22307064 22621248 22860864 23300496 24130912 24594968 24941376 25059024 25095447 25242204 25597728 27019824 27147276 27454848 27669339 28177344 29742752 30303936 30397302 30886704 31067328 33412032 33460596 33656272 34130304 34291296 34950744 36026432 36196368 36706176 36892452 37412064 37863306 39966823 40529736 40720914 41182272 42266016 44614128 45242496 45721728 46600992 48261824 49189936 49882752 50118048 50190894 50484408 51195456 54039648 54294552 55338678 56354688 56794959 59485504 60607872 60794604 61773408 62134656 66824064 66921192 67312544 68582592 69901488 72052864 72392736 73784904 74824128 75726612 79933646 81059472 81441828 82364544 83008017 84532032 89228256 93201984 96523648 98379872 100236096 100381788 100968816 102390912 108079296 108589104 110677356 113589918 118971008 119900469 121589208 123546816 133842384 134625088 137165184 139802976 144785472 147569808 149648256 151453224 159867292 162118944 162883656 166016034 169064064 178456512 186403968 196759744 200472192 200763576 201937632 216158592 217178208 221354712 227179836 239800938 243178416 247093632 267684768 269250176 279605952 289570944 295139616 302906448 319734584 324237888 325767312 332032068 356913024 359701407 393519488 401527152 403875264 434356416 442709424 454359672 479601876 486356832 535369536 559211904 590279232 605812896 639469168 648475776 651534624 664064136 719402814 803054304 807750528 868712832 885418848 908719344 959203752 972713664 1070739072 1079104221 1180558464 1211625792 1278938336 1303069248 1328128272 1438805628 1606108608 1770837696 1817438688 1918407504 1945427328 2158208442 2423251584 2557876672 2606138496 2656256544 2877611256 3212217216 3541675392 3634877376 3836815008 4316416884 5115753344 5312513088 5755222512 7269754752 7673630016 8632833768 10625026176 11510445024 15347260032 17265667536 23020890048 34531335072 46041780096 69062670144 138125340288
- Sum of all divisors σ(n): 488581632000
- Sum of proper divisors (its aliquot sum) s(n): 350456291712
- 138125340288 is an abundant number, because the sum of its proper divisors (350456291712) is greater than itself. Its abundance is 212330951424
Bases of 138125340288
- Binary: 100000001010001110100101101110100000002
- Hexadecimal: 0x2028E96E80
- Base-36: 1RGC9EO0
Squares and roots of 138125340288
- 138125340288 squared (1381253402882) is 19078609629675795922944
- 138125340288 cubed (1381253402883) is 2635239447320882974973883026767872
-
The
square root of 138125340288 is 371652.1764876401 -
The
cube root of 138125340288 is 5169.2133070643
Scales and comparisons
How big is 138125340288?- 138,125,340,288 seconds is equal to 4,391 years, 49 weeks, 5 days, 22 hours, 4 minutes, 48 seconds.
-
To count from 1 to 138,125,340,288 would take you about eight thousand, seven hundred eighty-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 138125340288 cubic inches would be around 430.8 feet tall.
Recreational maths with 138125340288
- 138125340288 backwards is 882043521831
- The number of decimal digits it has is: 12
- The sum of 138125340288's digits is 45
- More coming soon!
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The information we have on file for 138125340288 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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