138052710432
138,052,710,432 is an even composite number composed of eight prime numbers multiplied together.
138052710432 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138052710432:
25 × 32 × 7 × 13 × 19 × 37 × 59 × 127
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 19 × 37 × 59 × 127)See below for interesting mathematical facts about the number 138052710432 from the Numbermatics database.
Names of 138052710432
- Cardinal: 138052710432 can be written as One hundred thirty-eight billion, fifty-two million, seven hundred ten thousand, four hundred thirty-two.
Scientific notation
- Scientific notation: 1.38052710432 × 1011
Factors of 138052710432
Divisors of 138052710432
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 19 21 24 26 28 32 36 37 38 39 42 48 52 56 57 59 63 72 74 76 78 84 91 96 104 111 112 114 117 118 126 127 133 144 148 152 156 168 171 177 182 208 222 224 228 234 236 247 252 254 259 266 273 288 296 304 312 333 336 342 354 364 381 399 413 416 444 456 468 472 481 494 504 508 518 531 532 546 592 608 624 666 672 684 703 708 728 741 762 767 777 798 819 826 888 889 912 936 944 962 988 1008 1016 1036 1062 1064 1092 1121 1143 1184 1197 1239 1248 1332 1368 1406 1416 1443 1456 1482 1524 1534 1554 1596 1638 1651 1652 1729 1776 1778 1824 1872 1888 1924 1976 2016 2032 2072 2109 2124 2128 2183 2184 2223 2242 2286 2301 2331 2394 2413 2478 2664 2667 2736 2812 2832 2886 2912 2964 3048 3068 3108 3192 3276 3302 3304 3363 3367 3458 3552 3556 3717 3744 3848 3952 4064 4144 4218 4248 4256 4329 4366 4368 4446 4484 4572 4602 4662 4699 4788 4826 4921 4953 4956 5187 5328 5334 5369 5472 5624 5664 5772 5928 6096 6136 6216 6327 6384 6549 6552 6604 6608 6726 6734 6903 6916 7112 7239 7434 7493 7696 7847 7904 8001 8288 8436 8496 8658 8732 8736 8892 8968 9139 9144 9204 9324 9398 9576 9652 9842 9906 9912 10089 10101 10374 10656 10668 10738 11248 11544 11557 11856 12192 12272 12432 12654 12768 13098 13104 13208 13216 13452 13468 13806 13832 14097 14224 14478 14573 14763 14859 14868 14986 15281 15392 15561 15694 16002 16107 16872 16891 16992 17316 17464 17784 17936 18278 18288 18408 18648 18796 19152 19304 19647 19684 19812 19824 20178 20202 20748 21336 21476 21717 22479 22496 23088 23114 23541 23712 24544 24864 25308 26196 26208 26416 26904 26936 27417 27612 27664 28194 28379 28448 28956 29146 29526 29718 29736 29972 30303 30562 31122 31369 31388 32004 32214 32893 33744 33782 34632 34671 34928 35568 35872 36556 36576 36816 37296 37592 38304 38608 39294 39368 39624 39648 40356 40404 41477 41496 42291 42672 42952 43434 43719 44289 44958 45843 46176 46228 47082 48321 50616 50673 52392 52451 52832 53808 53872 54834 55224 55328 56388 56758 57912 58292 59052 59436 59472 59944 60606 61087 61124 62244 62738 62776 63973 64008 64428 65786 67437 67488 67564 69264 69342 69856 70623 71136 73112 73632 74592 75184 77216 78588 78736 79248 80712 80808 82251 82954 82992 84582 85137 85344 85904 86868 87438 88578 89281 89916 91686 92456 94107 94164 96642 97409 98679 101232 101346 102011 104013 104784 104902 107616 107744 109668 110448 112776 113516 115824 116584 118104 118872 118944 119888 121212 122174 122248 124431 124488 125476 125552 127946 128016 128856 131157 131572 134874 135128 137529 138528 138684 141246 142367 146224 150368 152019 157176 157353 157472 158496 161424 161616 164502 165908 165984 169164 170274 171808 173736 174876 177156 178562 179832 183261 183372 184912 188214 188328 191919 193284 194818 197358 198653 202464 202692 204022 208026 209568 209804 219336 219583 220896 225552 227032 231648 233168 236208 237744 239776 242424 244348 244496 248862 248976 250952 251104 255411 255892 256032 257712 262314 263144 267843 269748 270256 275058 277241 277368 282321 282492 284734 290339 292227 292448 296037 304038 306033 314352 314706 322848 323232 329004 331816 338328 340548 347472 349752 354312 357124 359664 366522 366744 369824 373293 376428 376656 383838 386568 389636 394716 397306 405384 408044 416052 419608 427101 427609 438672 439166 451104 454064 466336 472059 472416 475488 484848 488696 488992 497724 497952 501904 510822 511784 515424 524628 526288 535686 539201 539496 540512 549783 550116 554482 554736 564642 564984 569468 575757 580678 584454 592074 595959 608076 612066 624967 628704 629412 658008 658749 663632 676656 681096 681863 694944 699504 708624 714248 719328 733044 733488 746586 752856 753312 767676 773136 779272 789432 794612 803529 810768 816088 831723 832104 839216 854202 855218 871017 876681 877344 878332 908128 918099 944118 969696 977392 995448 996569 1003808 1021644 1023568 1049256 1052576 1071372 1078402 1078992 1099566 1100232 1108964 1109472 1129284 1129968 1138936 1151514 1160653 1161356 1168908 1184148 1191918 1216152 1224132 1249934 1258824 1281303 1282827 1316016 1317498 1327264 1353312 1362192 1363726 1399008 1417248 1428496 1466088 1466976 1493172 1505712 1535352 1546272 1558544 1578864 1589224 1607058 1617603 1621536 1632176 1663446 1664208 1678432 1708404 1710436 1742034 1753362 1756664 1787877 1836198 1850771 1874901 1888236 1940687 1954784 1976247 1990896 1993138 2043288 2045589 2047136 2098512 2142744 2156804 2157984 2199132 2200464 2217928 2258568 2259936 2277872 2303028 2321306 2322712 2337816 2368296 2383836 2432304 2448264 2495169 2499868 2517648 2562606 2565654 2613051 2632032 2634996 2724384 2727452 2856992 2932176 2986344 2989707 3011424 3070704 3117088 3157728 3178448 3214116 3235206 3264352 3326892 3328416 3416808 3420872 3481959 3484068 3506724 3513328 3575754 3604133 3672396 3701542 3749802 3774407 3776472 3848481 3881374 3952494 3981792 3986276 4086576 4091178 4197024 4285488 4313608 4398264 4400928 4435856 4517136 4555744 4606056 4642612 4645424 4675632 4736592 4767672 4852809 4864608 4896528 4990338 4999736 5035296 5125212 5131308 5226102 5267579 5269992 5454904 5552313 5624703 5822061 5864352 5972688 5979414 6136767 6141408 6356896 6428232 6470412 6653784 6833616 6841744 6963918 6968136 7013448 7026656 7151508 7208266 7344792 7403084 7499604 7548814 7552944 7696962 7762748 7904988 7972552 8124571 8173152 8182356 8570976 8627216 8796528 8871712 8969121 9034272 9212112 9285224 9290848 9351264 9473184 9535344 9705618 9793056 9980676 9999472 10250424 10262616 10445877 10452204 10535158 10539984 10812399 10909808 11104626 11249406 11323221 11644122 11945376 11958828 12273534 12856464 12940824 12955397 13307568 13667232 13683488 13927836 13936272 14026896 14303016 14416532 14689584 14806168 14999208 15097628 15105888 15393924 15525496 15802737 15809976 15945104 16249142 16364712 16656939 17254432 17466183 17593056 17938242 18424224 18570448 19070688 19411236 19961352 19998944 20500848 20525232 20891754 20904408 21070316 21079968 21624798 21819616 22209252 22498812 22646442 23288244 23917656 24373713 24547068 25228931 25712928 25881648 25910794 26615136 27855672 27872544 28053792 28606032 28833064 29379168 29612336 29998416 30195256 30787848 31050992 31605474 31619952 31890208 32437197 32498284 32729424 33313878 33969663 34932366 35876484 36873053 37140896 38822472 38866191 39922704 41001696 41050464 41783508 41808816 42140632 43249596 44418504 44997624 45292884 46576488 47408211 47835312 48747426 49094136 50457862 51763296 51821588 55711344 57212064 57666128 59224672 59996832 60390512 61575696 62101984 63210948 63239904 64874394 64996568 65458848 66627756 67939326 68478527 69864732 71752968 73121139 73746106 75686793 77644944 77732382 79845408 83567016 83617632 84281264 86499192 88837008 89995248 90585768 93152976 94816422 95670624 97494852 98188272 100915724 103643176 110619159 111422688 115332256 116598573 120781024 123151392 126421896 129748788 129993136 133255512 135878652 136957054 139729464 143505936 146242278 147492212 151373586 155289888 155464764 167134032 168562528 172998384 177674016 179990496 181171536 186305952 189632844 194989704 196376544 201831448 205435581 207286352 221238318 227060379 233197146 252843792 259497576 259986272 266511024 271757304 273914108 279458928 287011872 292484556 294984424 302747172 310929528 331857477 334268064 345996768 362343072 379265688 389979408 403662896 410871162 414572704 442476636 454120758 466394292 479349689 505687584 518995152 533022048 543514608 547828216 558917856 584969112 589968848 605494344 616306743 621859056 663714954 758531376 779958816 807325792 821742324 884953272 908241516 932788584 958699378 1037990304 1087029216 1095656432 1169938224 1179937696 1210988688 1232613486 1243718112 1327429908 1438049067 1517062752 1643484648 1769906544 1816483032 1865577168 1917398756 2191312864 2339876448 2421977376 2465226972 2654859816 2876098134 3286969296 3539813088 3632966064 3731154336 3834797512 4314147201 4930453944 5309719632 5752196268 6573938592 7265932128 7669595024 8628294402 9860907888 10619439264 11504392536 15339190048 17256588804 19721815776 23008785072 34513177608 46017570144 69026355216 138052710432
- Sum of all divisors σ(n): 535397990400
- Sum of proper divisors (its aliquot sum) s(n): 397345279968
- 138052710432 is an abundant number, because the sum of its proper divisors (397345279968) is greater than itself. Its abundance is 259292569536
Bases of 138052710432
- Binary: 100000001001001001010100110000001000002
- Hexadecimal: 0x2024953020
- Base-36: 1RF50P40
Squares and roots of 138052710432
- 138052710432 squared (1380527104322) is 19058550857621641626624
- 138052710432 cubed (1380527104323) is 2631084602800785751696800533741568
-
The
square root of 138052710432 is 371554.4515034101 -
The
cube root of 138052710432 is 5168.3071131157
Scales and comparisons
How big is 138052710432?- 138,052,710,432 seconds is equal to 4,389 years, 33 weeks, 5 days, 7 hours, 7 minutes, 12 seconds.
-
To count from 1 to 138,052,710,432 would take you about eight thousand, seven hundred seventy-nine 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 138052710432 cubic inches would be around 430.7 feet tall.
Recreational maths with 138052710432
- 138052710432 backwards is 234017250831
- 138052710432 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138052710432's digits is 36
- More coming soon!
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The information we have on file for 138052710432 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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