138145663296
138,145,663,296 is an even composite number composed of six prime numbers multiplied together.
138145663296 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred eighty-four divisors.
Prime factorization of 138145663296:
26 × 36 × 17 × 19 × 89 × 103
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 17 × 19 × 89 × 103)See below for interesting mathematical facts about the number 138145663296 from the Numbermatics database.
Names of 138145663296
- Cardinal: 138145663296 can be written as One hundred thirty-eight billion, one hundred forty-five million, six hundred sixty-three thousand, two hundred ninety-six.
Scientific notation
- Scientific notation: 1.38145663296 × 1011
Factors of 138145663296
Divisors of 138145663296
- Number of divisors d(n): 784
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 19 24 27 32 34 36 38 48 51 54 57 64 68 72 76 81 89 96 102 103 108 114 136 144 152 153 162 171 178 192 204 206 216 228 243 267 272 288 304 306 309 323 324 342 356 408 412 432 456 459 486 513 534 544 576 608 612 618 646 648 684 712 729 801 816 824 864 912 918 927 969 972 1026 1068 1088 1216 1224 1236 1292 1296 1368 1377 1424 1458 1513 1539 1602 1632 1648 1691 1728 1751 1824 1836 1854 1938 1944 1957 2052 2136 2403 2448 2472 2584 2592 2736 2754 2781 2848 2907 2916 3026 3078 3204 3264 3296 3382 3502 3648 3672 3708 3876 3888 3914 4104 4131 4272 4539 4617 4806 4896 4944 5073 5168 5184 5253 5472 5508 5562 5696 5814 5832 5871 6052 6156 6408 6592 6764 7004 7209 7344 7416 7752 7776 7828 8208 8262 8343 8544 8721 9078 9167 9234 9612 9792 9888 10146 10336 10506 10944 11016 11124 11628 11664 11742 12104 12312 12393 12816 13528 13617 13851 14008 14418 14688 14832 15219 15504 15552 15656 15759 16416 16524 16686 17088 17442 17613 18156 18334 18468 19224 19776 20292 20672 21012 21627 22032 22248 23256 23328 23484 24208 24624 24786 25029 25632 26163 27056 27234 27501 27702 28016 28747 28836 29376 29664 30438 31008 31312 31518 32832 33048 33269 33372 34884 35226 36312 36668 36936 38448 40584 40851 42024 43254 44064 44496 45657 46512 46656 46968 47277 48416 49248 49572 50058 51264 52326 52839 54112 54468 55002 55404 56032 57494 57672 59328 60876 62016 62624 63036 64881 66096 66538 66744 69768 70452 72624 73336 73872 75087 76896 78489 81168 81702 82503 84048 86241 86508 88128 88992 91314 93024 93936 94554 96832 98496 99144 99807 100116 104652 105678 108224 108936 110004 110808 112064 114988 115344 121752 122553 125248 126072 129762 132192 133076 133488 136971 139536 140904 141831 145248 146672 147744 150174 153792 155839 156978 158517 162336 163404 165006 168096 172482 173016 174173 177984 182628 186048 187872 189108 198288 199614 200232 209304 211356 217872 220008 221616 229976 230688 235467 243504 245106 247509 252144 258723 259524 264384 266152 266976 273942 279072 281808 283662 290496 293344 295488 299421 300348 311678 313956 317034 324672 326808 330012 336192 344964 346032 348346 365256 367659 375744 378216 396576 399228 400464 410913 418608 422712 425493 435744 440016 443232 459952 461376 467517 470934 475551 487008 490212 495018 504288 517446 519048 522519 532304 533952 547884 558144 563616 567324 586688 598842 600696 623356 627912 634068 653616 660024 689928 692064 696692 730512 735318 742527 756432 776169 793152 798456 800928 821826 837216 845424 850986 871488 880032 886464 898263 919904 935034 941868 951102 974016 980424 990036 1008576 1034892 1038096 1045038 1064608 1095768 1102977 1127232 1134648 1197684 1201392 1232739 1246712 1255824 1268136 1276479 1307232 1320048 1379856 1384128 1393384 1402551 1426653 1461024 1470636 1485054 1512864 1552338 1567557 1596912 1601856 1643652 1674432 1690848 1701972 1760064 1796526 1839808 1870068 1883736 1902204 1960848 1980072 2069784 2076192 2090076 2129216 2191536 2205954 2227581 2269296 2328507 2395368 2402784 2465478 2493424 2511648 2536272 2552958 2614464 2640096 2694789 2759712 2786768 2805102 2853306 2922048 2941272 2960941 2970108 3025728 3104676 3135114 3193824 3287304 3381696 3403944 3593052 3740136 3767472 3804408 3921696 3960144 4139568 4152384 4180152 4207653 4383072 4411908 4455162 4538592 4657014 4702671 4790736 4805568 4930956 4986848 5023296 5072544 5105916 5280192 5389578 5519424 5573536 5610204 5706612 5882544 5921882 5940216 6209352 6270228 6387648 6574608 6682743 6807888 6985521 7186104 7480272 7534944 7608816 7843392 7920288 8084367 8279136 8360304 8415306 8766144 8823816 8882823 8910324 9077184 9314028 9405342 9581472 9861912 9973696 10145088 10211832 10779156 11147072 11220408 11413224 11765088 11843764 11880432 12418704 12540456 12622959 13149216 13365486 13615776 13971042 14108013 14372208 14960544 15069888 15217632 15840576 16168734 16558272 16720608 16830612 17647632 17765646 17820648 18628056 18810684 19162944 19723824 20423664 20956563 21558312 22440816 22826448 23530176 23687528 23760864 24253101 24837408 25080912 25245918 26298432 26648469 26730972 27231552 27942084 28216026 28744416 29921088 30435264 32337468 33441216 33661224 35295264 35531292 35641296 37256112 37621368 37868877 39447648 40847328 41913126 42324039 43116624 44881632 45652896 47375056 47521728 48506202 49674816 50161824 50491836 53296938 53461944 55884168 56432052 57488832 64674936 67322448 70590528 71062584 71282592 74512224 75242736 75737754 78895296 79945407 81694656 83826252 84648078 86233248 89763264 91305792 94750112 97012404 100323648 100983672 106593876 106923888 111768336 112864104 113606631 126972117 129349872 134644896 142125168 142565184 149024448 150485472 151475508 159890814 167652504 169296156 172466496 189500224 194024808 201967344 213187752 213847776 223536672 225728208 227213262 239836221 253944234 258699744 269289792 284250336 300970944 302951016 319781628 335305008 338592312 388049616 403934688 426375504 427695552 447073344 451456416 454426524 479672442 507888468 517399488 568500672 605902032 639563256 670610016 677184624 719508663 776099232 807869376 852751008 902912832 908853048 959344884 1015776936 1211804064 1279126512 1341220032 1354369248 1439017326 1552198464 1705502016 1817706096 1918689768 2031553872 2158525989 2423608128 2558253024 2708738496 2878034652 3635412192 3837379536 4063107744 4317051978 5116506048 5756069304 7270824384 7674759072 8126215488 8634103956 11512138608 15349518144 17268207912 23024277216 34536415824 46048554432 69072831648 138145663296
- Sum of all divisors σ(n): 467737545600
- Sum of proper divisors (its aliquot sum) s(n): 329591882304
- 138145663296 is an abundant number, because the sum of its proper divisors (329591882304) is greater than itself. Its abundance is 191446219008
Bases of 138145663296
- Binary: 100000001010100001111110001001010000002
- Hexadecimal: 0x202A1F8940
- Base-36: 1RGOD000
Squares and roots of 138145663296
- 138145663296 squared (1381456632962) is 19084224287491801583616
- 138145663296 cubed (1381456632963) is 2636402822685187925930655526158336
-
The
square root of 138145663296 is 371679.5169174647 -
The
cube root of 138145663296 is 5169.4668179003
Scales and comparisons
How big is 138145663296?- 138,145,663,296 seconds is equal to 4,392 years, 31 weeks, 3 days, 3 hours, 21 minutes, 36 seconds.
-
To count from 1 to 138,145,663,296 would take you about eight thousand, seven 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 138145663296 cubic inches would be around 430.8 feet tall.
Recreational maths with 138145663296
- 138145663296 backwards is 692366541831
- 138145663296 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138145663296's digits is 54
- More coming soon!
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The information we have on file for 138145663296 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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