138104409508380672
138,104,409,508,380,672 is an even composite number composed of six prime numbers multiplied together.
What does the number 138104409508380672 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1920 divisors.
138104409508380672 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 138104409508380672:
215 × 3 × 74 × 29 × 53 × 6172
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 7 × 29 × 53 × 617 × 617)See below for interesting mathematical facts about the number 138104409508380672 from the Numbermatics database.
Names of 138104409508380672
- Cardinal: 138104409508380672 can be written as One hundred thirty-eight quadrillion, one hundred four trillion, four hundred nine billion, five hundred eight million, three hundred eighty thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 1.38104409508380672 × 1017
Factors of 138104409508380672
Divisors of 138104409508380672
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 49 53 56 58 64 84 87 96 98 106 112 116 128 147 159 168 174 192 196 203 212 224 232 256 294 318 336 343 348 371 384 392 406 424 448 464 512 588 609 617 636 672 686 696 742 768 784 812 848 896 928 1024 1029 1113 1176 1218 1234 1272 1344 1372 1392 1421 1484 1536 1537 1568 1624 1696 1792 1851 1856 2048 2058 2226 2352 2401 2436 2468 2544 2597 2688 2744 2784 2842 2968 3072 3074 3136 3248 3392 3584 3702 3712 4096 4116 4263 4319 4452 4611 4704 4802 4872 4936 5088 5194 5376 5488 5568 5684 5936 6144 6148 6272 6496 6784 7168 7203 7404 7424 7791 8192 8232 8526 8638 8904 9222 9408 9604 9744 9872 9947 10176 10388 10752 10759 10976 11136 11368 11872 12288 12296 12544 12957 12992 13568 14336 14406 14808 14848 15582 16384 16464 17052 17276 17808 17893 18179 18444 18816 19208 19488 19744 19894 20352 20776 21504 21518 21952 22272 22736 23744 24576 24592 25088 25914 25984 27136 28672 28812 29616 29696 29841 30233 31164 32277 32701 32768 32928 34104 34552 35616 35786 36358 36888 37632 38416 38976 39488 39788 40704 41552 43008 43036 43904 44544 45472 47488 49152 49184 50176 51828 51968 53679 54272 54537 57344 57624 59232 59392 59682 60466 62328 64554 65402 65856 68208 69104 69629 71232 71572 72716 73776 75264 75313 76832 77952 78976 79576 81408 83104 86016 86072 87808 89088 90699 90944 94976 98103 98304 98368 100352 103656 103936 107358 108544 109074 114688 115248 118464 118784 119364 120932 124656 125251 127253 129108 130804 131712 136416 138208 139258 142464 143144 145432 147552 150528 150626 153664 155904 157952 159152 162816 166208 172032 172144 175616 178176 181398 181888 189952 196206 196736 200704 207312 207872 208887 211631 214716 217088 218148 225939 228907 229376 230496 236928 237568 238728 241864 249312 250502 254506 258216 261608 263424 272832 276416 278516 284928 286288 290864 295104 301056 301252 307328 311808 315904 318304 325632 332416 344064 344288 351232 356352 362796 363776 375753 379904 380689 381759 392412 393472 401408 414624 415744 417774 423262 429432 434176 436296 451878 457814 460992 473856 475136 477456 483728 498624 501004 509012 516432 523216 526848 527191 545664 552832 557032 569856 572576 581728 590208 602112 602504 614656 623616 631808 634893 636608 651264 664832 686721 688128 688576 702464 712704 725592 727552 751506 759808 761378 763518 784824 786944 802816 829248 831488 835548 846524 858864 868352 872592 876757 903756 915628 921984 947712 948329 950272 954912 967456 997248 1002008 1018024 1032864 1046432 1053696 1054382 1091328 1105664 1114064 1139712 1142067 1145152 1163456 1180416 1204224 1205008 1229312 1247232 1263616 1269786 1273216 1302528 1329664 1373442 1377152 1404928 1425408 1451184 1455104 1481417 1503012 1519616 1522756 1527036 1569648 1573888 1581573 1602349 1605632 1658496 1662976 1671096 1693048 1717728 1736704 1745184 1753514 1807512 1831256 1843968 1895424 1896658 1909824 1934912 1994496 2004016 2036048 2065728 2092864 2107392 2108764 2182656 2211328 2228128 2279424 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917466581024 935971111936 949615005696 964793561088 969398651648 991716163584 999250473984 1012376916992 1048533235456 1055811821568 1069681270784 1085274292224 1102621212672 1107884173312 1142000541696 1157002190848 1162651615608 1165792219648 1198323697664 1204174887594 1266153340928 1272335730288 1286391414784 1328744703552 1332333965312 1376199871536 1403956667904 1404870702193 1407749095424 1454097977472 1518565375488 1522667388928 1550202154144 1572799853184 1604521906176 1605566516792 1661826259968 1696447640384 1735503286272 1748688329472 1771659604736 1797485546496 1833739321344 1834933162048 1871942223872 1899230011392 1929587122176 1938797303296 1983432327168 1998500947968 2024753833984 2097066470912 2111623643136 2139362541568 2215768346624 2284001083392 2314004381696 2325303231216 2331584439296 2396647395328 2408349775188 2532306681856 2544671460576 2572782829568 2657489407104 2664667930624 2752399743072 2807913335808 2809741404386 2908195954944 3037130750976 3100404308288 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1644100113195008 2157881398568448 2381110508765184 2466150169792512 2605743575629824 2818457336905728 2877175198091264 3288200226390016 4315762797136896 4762221017530368 4932300339585024 5754350396182528 6576400452780032 8631525594273792 9864600679170048 11508700792365056 17263051188547584 19729201358340096 23017401584730112 34526102377095168 46034803169460224 69052204754190336 138104409508380672
- Sum of all divisors σ(n): 453561514244787600
- Sum of proper divisors (its aliquot sum) s(n): 315457104736406928
- 138104409508380672 is an abundant number, because the sum of its proper divisors (315457104736406928) is greater than itself. Its abundance is 177352695228026256
Bases of 138104409508380672
- Binary: 1111010101010010100111010100011101010100110000000000000002
- Hexadecimal: 0x1EAA53A8EA98000
- Base-36: 11RTXDVB3QIO
Squares and roots of 138104409508380672
- 138104409508380672 squared (1381044095083806722) is 19072827925658505765616603663171584
- 138104409508380672 cubed (1381044095083806723) is 2634041638328020952370210773129590138554687525224448
-
The
square root of 138104409508380672 is 371624016.3234618937 -
The
cube root of 138104409508380672 is 516895.2188841473
Scales and comparisons
How big is 138104409508380672?- 138,104,409,508,380,672 seconds is equal to 4,391,293,037 years, 19 weeks, 5 days, 6 hours, 11 minutes, 12 seconds.
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To count from 1 to 138,104,409,508,380,672 would take you about thirteen billion, one hundred seventy-three million, eight hundred seventy-nine thousand, one hundred twelve 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 138104409508380672 cubic inches would be around 43074.6 feet tall.
Recreational maths with 138104409508380672
- 138104409508380672 backwards is 276083805904401831
- The number of decimal digits it has is: 18
- The sum of 138104409508380672's digits is 69
- More coming soon!
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The information we have on file for 138104409508380672 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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