138527490816

Names of 138527490816

• Cardinal: 138527490816 can be written as One hundred thirty-eight billion, five hundred twenty-seven million, four hundred ninety thousand, eight hundred sixteen.

Scientific notation

• Scientific notation: 1.38527490816 × 10¹¹

Factors of 138527490816

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 197

Divisors of 138527490816

• Number of divisors d(n): 1080
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 31 32 33 36 39 44 48 52 54 62 64 66 72 78 81 88 93 96 99 104 108 117 121 124 128 132 137 143 144 156 162 176 186 192 198 208 216 234 242 248 256 264 274 279 286 288 297 312 324 341 351 352 363 372 384 396 403 411 416 429 432 468 484 496 528 548 558 572 576 594 624 648 682 702 704 726 744 768 792 806 822 832 837 858 864 891 936 968 992 1023 1053 1056 1089 1096 1116 1144 1152 1188 1209 1233 1248 1287 1296 1364 1404 1408 1452 1488 1507 1573 1584 1612 1644 1664 1674 1716 1728 1781 1782 1872 1936 1984 2046 2106 2112 2178 2192 2232 2288 2304 2376 2418 2466 2496 2511 2574 2592 2728 2808 2816 2904 2976 3014 3069 3146 3168 3224 3267 3288 3328 3348 3432 3456 3562 3564 3627 3699 3744 3751 3861 3872 3968 4092 4212 4224 4247 4356 4384 4433 4464 4521 4576 4719 4752 4836 4932 4992 5022 5148 5184 5343 5456 5616 5808 5952 6028 6138 6292 6336 6448 6534 6576 6696 6864 6912 7124 7128 7254 7398 7488 7502 7722 7744 7936 8184 8424 8448 8494 8712 8768 8866 8928 9042 9152 9207 9438 9504 9672 9801 9864 9984 10044 10296 10368 10686 10881 10912 11097 11232 11253 11583 11616 11904 12056 12276 12584 12672 12741 12896 13068 13152 13299 13392 13563 13728 14157 14248 14256 14508 14796 14976 15004 15444 15488 16029 16368 16577 16848 16988 17424 17536 17732 17856 18084 18304 18414 18876 19008 19344 19591 19602 19728 20088 20592 20736 21372 21762 21824 22194 22464 22506 23166 23232 23808 24112 24552 25168 25344 25482 25792 26136 26304 26598 26784 27126 27456 27621 28314 28496 28512 29016 29592 29952 30008 30888 30976 32058 32643 32736 33154 33696 33759 33976 34848 35072 35464 35712 36168 36608 36828 37752 38016 38223 38688 39182 39204 39456 39897 40176 40689 41184 42471 42744 43524 43648 44388 44928 45012 46332 46464 46717 48087 48224 48763 49104 49731 50336 50964 51584 52272 52608 53196 53568 54252 54912 55211 55242 56628 56992 57024 58032 58773 59184 60016 61776 64116 65286 65472 66308 67392 67518 67952 69696 70928 71424 72336 73656 75504 76032 76446 77376 78364 78408 78912 79794 80352 81378 82368 84942 85488 87048 87296 88776 89856 90024 92664 92928 93434 96174 96448 97526 98208 99462 100672 101277 101928 103168 104544 105216 106392 107136 108504 109824 110422 110484 113256 113984 114048 114669 116064 117546 118368 119691 120032 122067 123552 127413 128232 130572 130944 132616 134784 135036 135904 139392 140151 141856 144261 144672 146289 147312 149193 151008 152892 154752 156728 156816 157824 159588 160704 162756 164736 165633 169884 170976 174096 176319 177552 180048 185328 186868 192348 192896 195052 196416 198924 201344 202554 203856 209088 212784 214272 215501 217008 220844 220968 226512 227968 228096 229338 232128 235092 236736 239382 240064 244134 247104 254826 256464 261144 261888 265232 269568 270072 271808 278784 280302 283712 288522 289344 292578 294624 298386 302016 303831 305784 309504 313456 313632 315648 319176 321408 325512 329472 331266 339768 341952 344007 348192 352638 355104 359073 360096 370656 373736 384696 385792 390104 392832 397848 402688 405108 407712 418176 420453 425568 431002 434016 438867 441688 441936 447579 453024 455936 458676 464256 470184 473472 478764 480128 488268 494208 496899 509652 512928 513887 522288 528957 530464 540144 543616 560604 567424 577044 578688 585156 589248 596772 604032 607321 607662 611568 626912 627264 638352 642816 646503 651024 662532 679536 683904 688014 696384 705276 710208 718146 720192 741312 747472 769392 780208 785664 795696 810216 815424 836352 840906 851136 862004 868032 877734 883376 883872 895158 906048 917352 928512 940368 946944 957528 960256 976536 988416 993798 1019304 1025856 1027774 1044576 1057914 1060928 1080288 1087232 1121208 1134848 1154088 1157376 1170312 1178496 1193544 1208064 1214642 1215324 1223136 1253824 1254528 1261359 1276704 1293006 1302048 1316601 1325064 1342737 1359072 1367808 1376028 1392768 1410552 1420416 1436292 1440384 1482624 1490697 1494944 1538784 1541661 1560416 1586871 1591392 1620432 1630848 1681812 1702272 1724008 1736064 1755468 1766752 1767744 1790316 1812096 1821963 1834704 1880736 1915056 1939509 1953072 1987596 2038608 2051712 2055548 2089152 2115828 2121856 2160576 2242416 2308176 2340624 2356992 2387088 2429284 2430648 2446272 2507648 2509056 2522718 2553408 2586012 2604096 2633202 2650128 2685474 2718144 2752056 2785536 2821104 2840832 2872584 2880768 2965248 2981394 2989888 3077568 3083322 3120832 3173742 3182784 3240864 3261696 3363624 3404544 3448016 3472128 3510936 3533504 3535488 3580632 3624192 3643926 3669408 3761472 3784077 3830112 3879018 3906144 3949803 3975192 4077216 4103424 4111096 4178304 4231656 4243712 4321152 4472091 4484832 4616352 4624983 4681248 4774176 4858568 4861296 4892544 5015296 5045436 5106816 5172024 5208192 5266404 5300256 5370948 5436288 5465889 5504112 5642208 5745168 5818527 5962788 5979776 6155136 6166644 6241664 6347484 6365568 6481728 6680531 6727248 6896032 7021872 7067008 7070976 7161264 7287852 7338816 7522944 7568154 7660224 7758036 7812288 7899606 7950384 8154432 8222192 8356608 8463312 8642304 8944182 8969664 9232704 9249966 9362496 9548352 9717136 9722592 9785088 10090872 10213632 10344048 10416384 10532808 10600512 10741896 10872576 10931778 11008224 11284416 11490336 11637054 11925576 11959552 12310272 12333288 12483328 12694968 12731136 12963456 13361062 13454496 13792064 13874949 14043744 14134016 14322528 14575704 14677632 15045888 15136308 15320448 15516072 15624576 15799212 15900768 16308864 16397667 16444384 16926624 17455581 17888364 17939328 18465408 18499932 18724992 19096704 19434272 19445184 20041593 20181744 20688096 21065616 21201024 21483792 21863556 22016448 22568832 22980672 23274108 23851152 24666576 25389936 25926912 26722124 26908992 27584128 27749898 28087488 28645056 29151408 29355264 30272616 30640896 31032144 31249152 31598424 31801536 32617728 32795334 32888768 33853248 34911162 35776728 35878656 36930816 36999864 37449984 38193408 38868544 38890368 40083186 40363488 41376192 41624847 42131232 42402048 42967584 43727112 44032896 45137664 45961344 46548216 47702304 49193001 49333152 50779872 53444248 53817984 55168256 55499796 56174976 57290112 58302816 60124779 60545232 62064288 63196848 63603072 65590668 65777536 67706496 69822324 71553456 73999728 77737088 77780736 80166372 80726976 82752384 83249694 84262464 85935168 87454224 88065792 91922688 93096432 95404608 98386002 98666304 101559744 106888496 107635968 110999592 112349952 114580224 116605632 120249558 121090464 124128576 126393696 127206144 131181336 131555072 135412992 139644648 143106912 147999456 155474176 160332744 161453952 165504768 166499388 168524928 171870336 174908448 180374337 186192864 190809216 196772004 197332608 203119488 213776992 221999184 233211264 240499116 242180928 248257152 252787392 262362672 279289296 286213824 295998912 320665488 322907904 332998776 337049856 343740672 349816896 360748674 372385728 381618432 393544008 394665216 406238976 427553984 443998368 466422528 480998232 484361856 496514304 505574784 524725344 541123011 558578592 572427648 591997824 641330976 665997552 699633792 721497348 744771456 787088016 855107968 887996736 961996464 968723712 1011149568 1049450688 1082246022 1117157184 1144855296 1183995648 1282661952 1331995104 1399267584 1442994696 1489542912 1574176032 1710215936 1775993472 1923992928 2098901376 2164492044 2234314368 2565323904 2663990208 2885989392 3148352064 3551986944 3847985856 4197802752 4328984088 4468628736 5130647808 5327980416 5771978784 6296704128 7695971712 8657968176 10655960832 11543957568 12593408256 15391943424 17315936352 23087915136 34631872704 46175830272 69263745408 138527490816
• Sum of all divisors σ(n): 508411085952
• Sum of proper divisors (its aliquot sum) s(n): 369883595136
• 138527490816 is an abundant number, because the sum of its proper divisors (369883595136) is greater than itself. Its abundance is 231356104320

Bases of 138527490816

• Binary: 10000001000000111000011100001100000000₂
• Hexadecimal: 0x2040E1C300
• Base-36: 1RMZOW00

Squares and roots of 138527490816

• 138527490816 squared (138527490816²) is 19189865711776964345856
• 138527490816 cubed (138527490816³) is 2658323946148456731460926487658496
• The square root of 138527490816 is 372192.8140305775
• The cube root of 138527490816 is 5174.2251502765

Scales and comparisons

• 138,527,490,816 seconds is equal to 4,404 years, 38 weeks, 5 days, 10 hours, 33 minutes, 36 seconds.
• To count from 1 to 138,527,490,816 would take you about eight thousand, eight hundred 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 138527490816 cubic inches would be around 431.2 feet tall.

Recreational maths with 138527490816

• 138527490816 backwards is 618094725831
• 138527490816 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138527490816's digits is 54
• More coming soon!