138806008320

Names of 138806008320

• Cardinal: 138806008320 can be written as One hundred thirty-eight billion, eight hundred six million, eight thousand, three hundred twenty.

Scientific notation

• Scientific notation: 1.3880600832 × 10¹¹

Factors of 138806008320

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 148

Divisors of 138806008320

• Number of divisors d(n): 1280
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 28 29 30 32 35 40 42 46 48 49 56 58 60 64 69 70 79 80 84 87 92 96 98 105 112 115 116 120 128 138 140 145 147 158 160 161 168 174 184 192 196 203 210 224 230 232 237 240 245 256 276 280 290 294 316 320 322 336 343 345 348 368 384 392 395 406 420 435 448 460 464 474 480 483 490 512 552 553 560 580 588 609 632 640 644 667 672 686 690 696 735 736 768 784 790 805 812 840 870 896 920 928 948 960 966 980 1015 1029 1104 1106 1120 1127 1160 1176 1185 1218 1264 1280 1288 1334 1344 1372 1380 1392 1421 1470 1472 1536 1568 1580 1610 1624 1659 1680 1715 1740 1792 1817 1840 1856 1896 1920 1932 1960 2001 2030 2058 2208 2212 2240 2254 2291 2320 2352 2370 2415 2436 2528 2560 2576 2668 2688 2744 2760 2765 2784 2842 2940 2944 3045 3136 3160 3220 3248 3318 3335 3360 3381 3430 3480 3584 3634 3680 3712 3792 3840 3864 3871 3920 4002 4060 4116 4263 4416 4424 4480 4508 4582 4640 4669 4704 4740 4830 4872 5056 5145 5152 5336 5376 5451 5488 5520 5530 5568 5635 5684 5880 5888 6090 6272 6320 6440 6496 6636 6670 6720 6762 6860 6873 6960 7105 7268 7360 7424 7584 7680 7728 7742 7840 7889 8004 8120 8232 8295 8526 8832 8848 8960 9016 9085 9164 9280 9338 9408 9480 9660 9744 9947 10005 10112 10290 10304 10672 10752 10902 10976 11040 11060 11136 11270 11368 11455 11613 11760 11776 12180 12544 12640 12719 12880 12992 13272 13340 13440 13524 13720 13746 13920 14007 14210 14536 14720 14848 15168 15456 15484 15680 15778 16008 16037 16240 16464 16590 16905 17052 17664 17696 17920 18032 18170 18328 18560 18676 18816 18960 19320 19355 19488 19894 20010 20224 20580 20608 21315 21344 21804 21952 22080 22120 22272 22540 22736 22910 23226 23345 23520 23667 24360 25088 25280 25438 25760 25984 26544 26680 26880 27048 27097 27255 27440 27492 27840 28014 28420 29072 29440 29841 30336 30912 30968 31360 31556 32016 32074 32480 32683 32928 33180 33810 34104 34365 35328 35392 36064 36340 36656 37120 37352 37632 37920 38157 38640 38710 38976 39445 39788 40020 40448 41160 41216 42630 42688 43608 43904 44160 44240 44544 45080 45472 45820 46452 46690 47040 47334 48111 48720 49735 50560 50876 51520 51968 52693 53088 53360 53760 54096 54194 54510 54880 54984 55680 56028 56840 58065 58144 58880 59682 60672 61824 61936 62720 63112 63595 64032 64148 64960 65366 65856 66360 67620 68208 68730 70035 70784 72128 72680 73312 74240 74704 75264 75840 76314 77280 77420 77952 78890 79576 80040 80185 81291 82320 82432 85260 85376 87216 87808 88320 88480 89033 90160 90944 91640 92904 93380 94080 94668 96222 97440 98049 99470 101120 101752 103040 103936 105386 106176 106720 108192 108388 109020 109760 109968 111360 112056 112259 113680 116130 116288 118335 119364 121344 123648 123872 125440 126224 127190 128064 128296 129920 130732 131712 132720 135240 135485 136416 137460 140070 141568 144256 145360 146624 149205 149408 151680 152628 154560 154840 155904 157780 158079 159152 160080 160370 162582 163415 164640 170520 170752 174432 175616 176640 176960 178066 180320 181888 183280 185808 186760 188160 189336 190785 192444 194880 196098 198940 202240 203504 206080 210772 212352 213440 216384 216776 218040 219520 219936 222720 224112 224518 227360 228781 232260 232576 236670 238728 240555 247296 247744 252448 254380 256128 256592 259840 261464 263424 263465 265440 267099 270480 270970 272832 274920 280140 283136 288512 290720 293248 298410 298816 303360 305256 309120 309680 311808 315560 316158 318304 320160 320740 325164 326830 329280 336777 341040 341504 348864 353920 356132 360640 363776 366560 368851 371616 373520 376320 378672 381570 384888 389760 392196 397880 406455 407008 412160 421544 424704 426880 432768 433552 436080 439040 439872 445165 448224 449036 454720 457562 464520 465152 473340 477456 481110 490245 495488 504896 508760 512256 513184 519680 522928 526848 526930 530880 534198 540960 541940 545664 549840 560280 561295 577024 581440 586496 596820 597632 606720 610512 618240 619360 623231 631120 632316 636608 640320 641480 650328 653660 658560 673554 682080 686343 697728 707840 712264 721280 727552 733120 737702 743232 747040 757344 763140 769776 779520 784392 785813 790395 795760 812910 814016 843088 849408 853760 865536 867104 872160 878080 879744 890330 896448 898072 909440 915124 929040 930304 946680 954912 962220 980490 990976 1009792 1017520 1024512 1026368 1045856 1053860 1061760 1068396 1081920 1083880 1091328 1099680 1106553 1120560 1122590 1143905 1162880 1172992 1193640 1195264 1221024 1236480 1238720 1246462 1262240 1264632 1273216 1280640 1282960 1300656 1307320 1317120 1335495 1347108 1364160 1372686 1395456 1415680 1424528 1442560 1466240 1475404 1486464 1494080 1514688 1526280 1539552 1559040 1568784 1571626 1580790 1591520 1625820 1628032 1683885 1686176 1707520 1731072 1734208 1744320 1759488 1780660 1792896 1796144 1818880 1830248 1844255 1858080 1869693 1893360 1909824 1924440 1960980 1981952 2019584 2035040 2052736 2091712 2107720 2123520 2136792 2163840 2167760 2182656 2199360 2213106 2241120 2245180 2287810 2325760 2357439 2387280 2390528 2442048 2477440 2492924 2524480 2529264 2546432 2561280 2565920 2581957 2601312 2614640 2634240 2670990 2694216 2728320 2745372 2790912 2849056 2885120 2932480 2950808 2972928 2988160 3029376 3052560 3079104 3116155 3137568 3143252 3161580 3183040 3251640 3256064 3367770 3372352 3431715 3468416 3488640 3518976 3561320 3585792 3592288 3637760 3660496 3688510 3716160 3739386 3786720 3819648 3848880 3921960 3929065 4039168 4070080 4105472 4183424 4215440 4247040 4273584 4327680 4335520 4398720 4426212 4482240 4490360 4575620 4651520 4714878 4774560 4884096 4954880 4985848 5048960 5058528 5092864 5122560 5131840 5163914 5202624 5229280 5341980 5388432 5456640 5490744 5532765 5698112 5864960 5901616 5945856 5976320 6058752 6105120 6158208 6232310 6275136 6286504 6323160 6366080 6503280 6512128 6735540 6744704 6863430 6936832 6977280 7122640 7171584 7184576 7320992 7377020 7432320 7478772 7573440 7639296 7697760 7745871 7843920 7858130 8140160 8210944 8366848 8430880 8547168 8655360 8671040 8797440 8852424 8964480 8980720 9151240 9348465 9429756 9549120 9768192 9909760 9971696 10097920 10117056 10263680 10327828 10405248 10458560 10683960 10776864 10913280 10981488 11065530 11396224 11787195 11803232 11952640 12117504 12210240 12316416 12464620 12550272 12573008 12646320 12732160 12909785 13006560 13471080 13489408 13726860 13873664 13954560 14245280 14369152 14641984 14754040 14864640 14957544 15146880 15278592 15395520 15491742 15687840 15716260 16280320 16733696 16861760 17094336 17342080 17594880 17704848 17928960 17961440 18073699 18302480 18696930 18859512 19098240 19536384 19943392 20195840 20234112 20527360 20655656 20810496 20917120 21367920 21553728 21962976 22131060 22792448 23574390 23606464 24420480 24632832 24929240 25100544 25146016 25292640 25464320 25819570 26013120 26942160 26978816 27453720 28490560 28738304 29283968 29508080 29729280 29915088 30293760 30791040 30983484 31375680 31432520 32560640 33723520 34188672 34684160 35409696 35857920 35922880 36147398 36604960 37393860 37719024 38196480 38729355 39886784 40468224 41054720 41311312 41620992 41834240 42735840 43107456 43925952 44262120 45584896 47148780 47212928 48840960 49858480 50201088 50292032 50585280 51639140 52026240 53884320 54221097 54907440 56981120 57476608 58567936 59016160 59830176 60587520 61582080 61966968 62751360 62865040 67447040 68377344 69368320 70819392 71845760 72294796 73209920 74787720 75438048 76392960 77458710 79773568 80936448 82622624 83668480 85471680 86214912 87851904 88524240 90368495 94297560 94425856 97681920 99716960 100584064 101170560 103278280 104052480 107768640 108442194 109814880 113962240 117135872 118032320 119660352 123164160 123933936 125502720 125730080 134894080 136754688 141638784 143691520 144589592 146419840 149575440 150876096 154917420 159547136 165245248 170943360 172429824 175703808 177048480 180736990 188595120 188851712 199433920 201168128 202341120 206556560 208104960 215537280 216884388 219629760 227924480 236064640 239320704 247867872 251005440 251460160 271105485 283277568 287383040 289179184 292839680 299150880 301752192 309834840 319094272 330490496 341886720 351407616 354096960 361473980 377190240 398867840 402336256 404682240 413113120 431074560 433768776 439259520 472129280 478641408 495735744 502920320 542210970 566555136 578358368 585679360 598301760 603504384 619669680 660980992 683773440 708193920 722947960 754380480 797735680 826226240 862149120 867537552 878519040 944258560 957282816 991471488 1005840640 1084421940 1156716736 1196603520 1207008768 1239339360 1321961984 1416387840 1445895920 1508760960 1595471360 1652452480 1735075104 1757038080 1982942976 2011681280 2168843880 2313433472 2393207040 2478678720 2832775680 2891791840 3017521920 3304904960 3470150208 3965885952 4337687760 4626866944 4786414080 4957357440 5783583680 6035043840 6609809920 6940300416 8675375520 9253733888 9914714880 11567167360 13880600832 17350751040 19829429760 23134334720 27761201664 34701502080 46268669440 69403004160 138806008320
• Sum of all divisors σ(n): 565678080000
• Sum of proper divisors (its aliquot sum) s(n): 426872071680
• 138806008320 is an abundant number, because the sum of its proper divisors (426872071680) is greater than itself. Its abundance is 288066063360

Bases of 138806008320

• Binary: 10000001010001011110111001101000000000₂
• Hexadecimal: 0x20517B9A00
• Base-36: 1RRLIHHC

Squares and roots of 138806008320

• 138806008320 squared (138806008320²) is 19267107945731909222400
• 138806008320 cubed (138806008320³) is 2674390345817601500013939130368000
• The square root of 138806008320 is 372566.7837046131
• The cube root of 138806008320 is 5177.6905214935

Scales and comparisons

• 138,806,008,320 seconds is equal to 4,413 years, 31 weeks, 2 days, 32 minutes.
• To count from 1 to 138,806,008,320 would take you about eight thousand, eight hundred twenty-seven 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 138806008320 cubic inches would be around 431.5 feet tall.

Recreational maths with 138806008320

• 138806008320 backwards is 023800608831
• The number of decimal digits it has is: 12
• The sum of 138806008320's digits is 39
• More coming soon!