138661705728
138,661,705,728 is an even composite number composed of six prime numbers multiplied together.
138661705728 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138661705728:
211 × 32 × 7 × 13 × 192 × 229
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 19 × 19 × 229)See below for interesting mathematical facts about the number 138661705728 from the Numbermatics database.
Names of 138661705728
- Cardinal: 138661705728 can be written as One hundred thirty-eight billion, six hundred sixty-one million, seven hundred five thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38661705728 × 1011
Factors of 138661705728
Divisors of 138661705728
- Number of divisors d(n): 864
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 19 21 24 26 28 32 36 38 39 42 48 52 56 57 63 64 72 76 78 84 91 96 104 112 114 117 126 128 133 144 152 156 168 171 182 192 208 224 228 229 234 247 252 256 266 273 288 304 312 336 342 361 364 384 399 416 448 456 458 468 494 504 512 532 546 576 608 624 672 684 687 722 728 741 768 798 819 832 896 912 916 936 988 1008 1024 1064 1083 1092 1152 1197 1216 1248 1344 1368 1374 1444 1456 1482 1536 1596 1603 1638 1664 1729 1792 1824 1832 1872 1976 2016 2048 2061 2128 2166 2184 2223 2304 2394 2432 2496 2527 2688 2736 2748 2888 2912 2964 2977 3072 3192 3206 3249 3276 3328 3458 3584 3648 3664 3744 3952 4032 4122 4256 4332 4351 4368 4446 4608 4693 4788 4809 4864 4992 5054 5187 5376 5472 5496 5776 5824 5928 5954 6144 6384 6412 6498 6552 6656 6916 7168 7296 7328 7488 7581 7904 8064 8244 8512 8664 8702 8736 8892 8931 9216 9386 9576 9618 9728 9984 10108 10374 10752 10944 10992 11552 11648 11856 11908 12768 12824 12996 13053 13104 13312 13832 14079 14336 14427 14592 14656 14976 15162 15561 15808 16128 16488 17024 17328 17404 17472 17784 17862 18432 18772 19152 19236 19456 19968 20216 20748 20839 21504 21888 21984 22743 23104 23296 23712 23816 25536 25648 25992 26106 26208 26624 26793 27664 28158 28854 29184 29312 29952 30324 30457 31122 31616 32256 32851 32976 34048 34656 34808 34944 35568 35724 37544 38304 38472 38912 39159 39936 40432 41496 41678 42237 43008 43776 43968 45486 46208 46592 47424 47632 51072 51296 51984 52212 52416 53586 55328 56316 56563 57708 58368 58624 59904 60648 60914 62244 62517 63232 64512 65702 65952 68096 69312 69616 69888 71136 71448 75088 76608 76944 78318 79872 80864 82669 82992 83356 84474 87552 87936 90972 91371 92416 93184 94848 95264 98553 102144 102592 103968 104424 104832 107172 110656 112632 113126 115416 116736 117248 119808 121296 121828 124488 125034 126464 129024 131404 131904 136192 138624 139232 139776 142272 142896 150176 153216 153888 156636 161728 165338 165984 166712 168948 169689 175104 175872 181944 182742 184832 186368 187551 189696 190528 197106 204288 205184 207936 208848 209664 214344 221312 225264 226252 230832 234496 239616 242592 243656 248007 248976 250068 252928 262808 263808 272384 274113 277248 278464 279552 284544 285792 295659 300352 306432 307776 313272 323456 330676 331968 333424 337896 339378 350208 351744 363888 365484 369664 375102 379392 381056 394212 395941 408576 410368 415872 417696 419328 428688 442624 450528 452504 461664 468992 485184 487312 496014 497952 500136 505856 509067 525616 527616 548226 554496 556928 559104 569088 571584 578683 591318 600704 612864 615552 626544 646912 661352 663936 666848 675792 678756 703488 727776 730968 739328 744021 750204 758784 762112 788424 791882 817152 820736 831744 835392 838656 857376 885248 901056 905008 923328 970368 974624 992028 995904 1000272 1018134 1051232 1055232 1074697 1096452 1108992 1113856 1138176 1143168 1157366 1182636 1187823 1201408 1225728 1231104 1253088 1293824 1322704 1327872 1333696 1351584 1357512 1406976 1455552 1461936 1488042 1500408 1517568 1524224 1576848 1583764 1641472 1663488 1670784 1677312 1714752 1736049 1770496 1802112 1810016 1846656 1940736 1949248 1984056 1991808 2000544 2036268 2102464 2110464 2149394 2192904 2217984 2227712 2276352 2286336 2314732 2365272 2375646 2402816 2451456 2462208 2506176 2587648 2645408 2655744 2667392 2703168 2715024 2911104 2923872 2976084 3000816 3048448 3153696 3167528 3224091 3282944 3326976 3341568 3429504 3472098 3540992 3563469 3604224 3620032 3693312 3881472 3898496 3968112 3983616 4001088 4072536 4204928 4220928 4298788 4385808 4455424 4552704 4572672 4629464 4730544 4751292 4805632 4924416 5012352 5175296 5208147 5290816 5311488 5334784 5406336 5430048 5822208 5847744 5952168 6001632 6096896 6307392 6335056 6448182 6653952 6683136 6859008 6944196 7126938 7208448 7240064 7386624 7522879 7762944 7796992 7936224 7967232 8002176 8145072 8409856 8597576 8771616 8910848 9145344 9258928 9461088 9502584 9611264 9672273 9848832 10024704 10416294 10581632 10622976 10669568 10812672 10860096 11644416 11695488 11904336 12003264 12614784 12670112 12896364 13366272 13718016 13888392 14253876 14416896 14480128 14773248 15045758 15525888 15593984 15872448 15934464 16004352 16290144 16819712 17195152 17543232 18290688 18517856 18922176 19005168 19344546 20049408 20832588 21163264 21339136 21625344 21720192 22568637 23288832 23390976 23808672 24006528 25229568 25340224 25792728 26732544 27436032 27776784 28507752 28833792 28960256 29546496 30091516 31187968 31744896 31868928 32008704 32580288 33639424 34390304 35086464 37035712 37844352 38010336 38689092 40098816 41665176 42326528 42678272 43250688 43440384 45137274 46577664 46781952 47617344 48013056 50459136 50680448 51585456 54872064 55553568 57015504 57920512 60183032 62375936 63489792 64017408 65160576 67278848 67705911 68780608 70172928 74071424 75688704 76020672 77378184 80197632 83330352 84653056 86501376 86880768 90274548 93563904 95234688 96026112 100918272 101360896 103170912 111107136 114031008 115841024 120366064 126979584 128034816 130321152 135411822 137561216 140345856 148142848 151377408 152041344 154756368 166660704 169306112 173761536 180549096 187127808 190469376 192052224 201836544 202721792 206341824 222214272 228062016 240732128 253959168 260642304 270823644 275122432 280691712 296285696 302754816 304082688 309512736 333321408 347523072 361098192 380938752 384104448 405443584 412683648 444428544 456124032 481464256 507918336 521284608 541647288 550244864 561383424 592571392 605509632 608165376 619025472 666642816 722196384 761877504 810887168 825367296 888857088 912248064 962928512 1042569216 1083294576 1100489728 1185142784 1216330752 1238050944 1333285632 1444392768 1523755008 1650734592 1777714176 1824496128 1925857024 2166589152 2200979456 2432661504 2476101888 2666571264 2888785536 3301469184 3555428352 3648992256 3851714048 4333178304 4952203776 5333142528 5777571072 6602938368 7297984512 7703428096 8666356608 9904407552 10666285056 11555142144 15406856192 17332713216 19808815104 23110284288 34665426432 46220568576 69330852864 138661705728
- Sum of all divisors σ(n): 522478101600
- Sum of proper divisors (its aliquot sum) s(n): 383816395872
- 138661705728 is an abundant number, because the sum of its proper divisors (383816395872) is greater than itself. Its abundance is 245154690144
Bases of 138661705728
- Binary: 100000010010001110000110111000000000002
- Hexadecimal: 0x2048E1B800
- Base-36: 1RP7LKW0
Squares and roots of 138661705728
- 138661705728 squared (1386617057282) is 19227068635398468009984
- 138661705728 cubed (1386617057283) is 2666058133133680895222423173988352
-
The
square root of 138661705728 is 372373.0733122363 -
The
cube root of 138661705728 is 5175.8956586843
Scales and comparisons
How big is 138661705728?- 138,661,705,728 seconds is equal to 4,409 years, 4 days, 20 hours, 28 minutes, 48 seconds.
-
To count from 1 to 138,661,705,728 would take you about eight thousand, eight hundred eighteen 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 138661705728 cubic inches would be around 431.3 feet tall.
Recreational maths with 138661705728
- 138661705728 backwards is 827507166831
- The number of decimal digits it has is: 12
- The sum of 138661705728's digits is 54
- More coming soon!
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The information we have on file for 138661705728 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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