138988791648

Names of 138988791648

• Cardinal: 138988791648 can be written as One hundred thirty-eight billion, nine hundred eighty-eight million, seven hundred ninety-one thousand, six hundred forty-eight.

Scientific notation

• Scientific notation: 1.38988791648 × 10¹¹

Factors of 138988791648

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 84

Divisors of 138988791648

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 32 36 41 42 48 49 54 56 62 63 72 81 82 84 93 96 98 108 112 123 124 126 144 147 162 164 168 186 189 196 216 217 224 243 246 248 252 279 287 288 294 324 328 336 343 369 372 378 392 432 434 441 486 492 496 504 558 567 574 588 648 651 656 672 686 738 744 756 784 837 861 864 868 882 972 984 992 1008 1029 1107 1116 1134 1148 1176 1271 1296 1302 1312 1323 1372 1476 1488 1512 1519 1568 1674 1681 1701 1722 1736 1764 1944 1953 1968 2009 2016 2058 2214 2232 2268 2296 2352 2511 2542 2583 2592 2604 2646 2744 2952 2976 3024 3038 3087 3321 3348 3362 3402 3444 3472 3528 3813 3888 3906 3936 3969 4018 4116 4428 4464 4536 4557 4592 4704 5022 5043 5084 5166 5208 5292 5488 5859 5904 6027 6048 6076 6174 6642 6696 6724 6804 6888 6944 7056 7533 7626 7749 7776 7812 7938 8036 8232 8856 8897 8928 9072 9114 9184 9261 9963 10044 10086 10168 10332 10416 10584 10633 10976 11439 11718 11767 11808 11907 12054 12152 12348 13284 13392 13448 13608 13671 13776 14063 14112 15066 15129 15252 15498 15624 15876 16072 16464 17577 17712 17794 18081 18144 18228 18522 19926 20088 20172 20336 20664 20832 21168 21266 22878 23247 23436 23534 23814 24108 24304 24696 26568 26691 26784 26896 27216 27342 27552 27783 28126 30132 30258 30504 30996 31248 31752 31899 32144 32928 34317 35154 35301 35424 35588 36162 36456 37044 39852 40176 40344 40672 41013 41328 42189 42336 42532 45387 45756 46494 46872 47068 47628 48216 48608 49392 52111 52731 53136 53382 53792 54243 54432 54684 55566 56252 60264 60516 61008 61992 62279 62496 63504 63798 64288 68634 69741 70308 70602 71176 72324 72912 74088 79704 80073 80352 80688 82026 82369 82656 83349 84378 85064 90774 91512 92988 93744 94136 95256 95697 96432 98784 102951 104222 105462 105903 106272 106764 108486 109368 111132 112504 120528 121032 122016 123039 123984 124558 126567 127008 127596 136161 137268 139482 140616 141204 142352 144648 145824 148176 156333 159408 160146 161376 162729 164052 164738 166698 168756 170128 181548 183024 185976 186837 187488 188272 190512 191394 192864 205902 208444 210924 211806 213528 216972 218736 222264 225008 240219 241056 242064 246078 247107 247968 249116 253134 255192 272322 274536 278964 281232 282408 284704 287091 289296 296352 308853 312666 317709 318816 320292 325458 328104 329476 333396 337512 340256 363096 364777 366048 369117 371952 373674 376544 379701 381024 382788 408483 411804 416888 421848 423612 427056 433944 435953 437472 444528 450016 468999 480438 484128 488187 492156 494214 498232 506268 510384 544644 549072 557928 560511 562464 564816 574182 576583 578592 617706 625332 635418 640584 650916 656208 658952 666792 675024 720657 726192 729554 738234 741321 743904 747348 759402 765576 816966 823608 833776 843696 847224 854112 861273 867888 871906 889056 937998 953127 960876 976374 984312 988428 996464 1012536 1020768 1089288 1094331 1098144 1115856 1121022 1129632 1139103 1148364 1153166 1235412 1250664 1270836 1281168 1301832 1307859 1312416 1317904 1333584 1350048 1406997 1441314 1452384 1459108 1476468 1482642 1494696 1518804 1531152 1633932 1647216 1667552 1681533 1687392 1694448 1722546 1729749 1735776 1743812 1875996 1906254 1921752 1952748 1968624 1976856 1992928 2025072 2161971 2178576 2188662 2223963 2231712 2242044 2278206 2296728 2306332 2470824 2501328 2541672 2553439 2562336 2583819 2603664 2615718 2635808 2667168 2813994 2859381 2882628 2918216 2952936 2965284 2989392 3037608 3062304 3267864 3282993 3294432 3363066 3388896 3417309 3445092 3459498 3487624 3751992 3812508 3843504 3905496 3923577 3937248 3953712 4050144 4220991 4323942 4357152 4377324 4447926 4484088 4556412 4593456 4612664 4941648 5002656 5044599 5083344 5106878 5167638 5189247 5207328 5231436 5627988 5718762 5765256 5836432 5905872 5930568 5978784 6075216 6535728 6565986 6671889 6726132 6834618 6890184 6918996 6975248 7503984 7625016 7660317 7687008 7810992 7847154 7907424 8441982 8647884 8754648 8895852 8968176 9112824 9186912 9225328 9848979 9883296 10089198 10166688 10213756 10335276 10378494 10462872 11255976 11437524 11530512 11672864 11770731 11811744 11861136 12150432 12662973 13071456 13131972 13343778 13452264 13669236 13780368 13837992 13950496 15007968 15133797 15250032 15320634 15567741 15621984 15694308 16883964 17295768 17509296 17791704 17874073 17936352 18225648 18450656 19697958 20015667 20178396 20427512 20670552 20756988 20925744 22511952 22875048 22980951 23061024 23541462 23722272 25325946 26263944 26687556 26904528 27338472 27560736 27675984 29546937 30267594 30500064 30641268 31135482 31388616 33767928 34591536 35018592 35312193 35583408 35748146 36451296 39395916 40031334 40356792 40855024 41341104 41513976 41851488 45023904 45750096 45961902 46703223 47082924 50651892 52527888 53375112 53622219 53809056 54676944 55351968 59093874 60535188 61282536 62270964 62777232 67535856 68942853 69183072 70624386 71166816 71496292 78791832 80062668 80713584 81710048 82682208 83027952 88640811 91500192 91923804 93406446 94165848 101303784 105055776 105936579 106750224 107244438 109353888 118187748 121070376 122565072 124541928 125554464 135071712 137885706 140109669 141248772 142992584 157583664 160125336 160866657 161427168 166055904 177281622 183847608 186812892 188331696 202607568 206828559 211873158 213500448 214488876 236375496 242140752 245130144 249083856 275771412 280219338 282497544 285985168 315167328 320250672 321733314 354563244 367695216 373625784 376663392 405215136 413657118 423746316 428977752 472750992 482599971 484281504 498167712 551542824 560438676 564995088 571970336 620485677 640501344 643466628 709126488 735390432 747251568 827314236 847492632 857955504 945501984 965199942 1103085648 1120877352 1129990176 1240971354 1286933256 1418252976 1447799913 1494503136 1654628472 1694985264 1715911008 1930399884 2206171296 2241754704 2481942708 2573866512 2836505952 2895599826 3309256944 3389970528 3860799768 4343399739 4483509408 4963885416 5147733024 5791199652 6618513888 7721599536 8686799478 9927770832 11582399304 15443199072 17373598956 19855541664 23164798608 34747197912 46329597216 69494395824 138988791648
• Sum of all divisors σ(n): 505751500800
• Sum of proper divisors (its aliquot sum) s(n): 366762709152
• 138988791648 is an abundant number, because the sum of its proper divisors (366762709152) is greater than itself. Its abundance is 227773917504

Bases of 138988791648

• Binary: 10000001011100011000001010011101100000₂
• Hexadecimal: 0x205C60A760
• Base-36: 1RUMC600

Squares and roots of 138988791648

• 138988791648 squared (138988791648²) is 19317884203771154555904
• 138988791648 cubed (138988791648³) is 2684969382678139376442947024289792
• The square root of 138988791648 is 372812.0057723463
• The cube root of 138988791648 is 5179.9622300631

Scales and comparisons

• 138,988,791,648 seconds is equal to 4,419 years, 21 weeks, 3 days, 13 hours, 40 minutes, 48 seconds.
• To count from 1 to 138,988,791,648 would take you about eight thousand, eight hundred thirty-eight 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 138988791648 cubic inches would be around 431.7 feet tall.

Recreational maths with 138988791648

• 138988791648 backwards is 846197889831
• 138988791648 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138988791648's digits is 72
• More coming soon!