138227136768

Names of 138227136768

• Cardinal: 138227136768 can be written as One hundred thirty-eight billion, two hundred twenty-seven million, one hundred thirty-six thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.38227136768 × 10¹¹

Factors of 138227136768

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 163

Divisors of 138227136768

• 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 29 32 36 42 43 48 54 56 58 63 64 72 79 84 86 87 96 108 112 116 126 128 129 144 158 168 172 174 189 192 203 216 224 232 237 252 256 258 261 288 301 316 336 344 348 378 384 387 406 432 448 464 474 504 516 522 553 576 602 609 632 672 688 696 711 756 768 774 783 812 841 864 896 903 928 948 1008 1032 1044 1106 1152 1161 1204 1218 1247 1264 1344 1376 1392 1422 1512 1548 1566 1624 1659 1682 1728 1792 1806 1827 1856 1896 2016 2064 2088 2133 2212 2291 2304 2322 2408 2436 2494 2523 2528 2688 2709 2752 2784 2844 3024 3096 3132 3248 3318 3364 3397 3456 3612 3654 3712 3741 3792 4032 4128 4176 4266 4424 4582 4644 4816 4872 4977 4988 5046 5056 5376 5418 5481 5504 5568 5688 5887 6048 6192 6264 6496 6636 6728 6794 6873 6912 7224 7308 7424 7482 7569 7584 8064 8127 8256 8352 8532 8729 8848 9164 9288 9632 9744 9954 9976 10092 10112 10191 10836 10962 11008 11136 11223 11376 11774 12096 12384 12528 12992 13272 13456 13588 13746 14448 14616 14931 14964 15138 15168 16037 16128 16254 16512 16704 17064 17458 17661 17696 18328 18576 19264 19488 19908 19952 20184 20224 20382 20619 21672 21924 22272 22446 22707 22752 23548 23779 24192 24768 25056 25984 26187 26544 26912 27176 27492 28896 29232 29862 29928 30276 30336 30573 32074 32508 33024 33408 33669 34128 34916 35322 35392 36163 36656 37152 38528 38976 39816 39904 40368 40764 41238 43344 43848 44892 45414 45504 47096 47558 48111 48384 49536 50112 51968 52374 52983 53088 53824 54352 54984 57792 58464 59724 59856 60552 60672 61146 61857 64148 65016 66439 66816 67338 68256 69832 70644 70784 71337 72326 73312 74304 77056 77952 78561 79632 79808 80736 81528 82476 86688 87696 89784 90828 91008 91719 94192 95116 96222 98513 99072 100224 104748 105966 106176 107648 108489 108704 109968 115584 116928 119448 119712 121104 122292 123714 128296 130032 132878 134676 136512 139664 141288 141568 142674 144333 144652 146624 148608 155904 157122 158949 159264 159616 161472 163056 164952 173376 175392 179568 181656 182016 183438 188384 190232 192444 197026 199317 200448 209496 211932 212352 214011 215296 216978 217408 219936 231168 233856 235683 238896 239424 242208 244584 247428 253141 256592 260064 265756 269352 273024 279328 282576 285348 288666 289304 293248 295539 297216 314244 317898 318528 319232 322944 325467 326112 329904 346752 350784 359136 363312 366876 376768 380464 384888 394052 398634 418992 423864 424704 428022 432999 433956 434816 439872 465073 467712 471366 477792 478848 484416 489168 494856 506282 513184 520128 531512 538704 546048 558656 565152 570696 577332 578608 586496 591078 597951 628488 635796 637056 642033 645888 650934 652224 659808 689591 693504 701568 718272 726624 733752 753536 759423 760928 769776 788104 797268 837984 847728 856044 865998 867912 869632 879744 886617 930146 942732 955584 957696 968832 976401 978336 989712 1012564 1026368 1040256 1063024 1077408 1117312 1130304 1141392 1154664 1157216 1182156 1195902 1256976 1271592 1274112 1284066 1301868 1304448 1319616 1379182 1395219 1403136 1436544 1453248 1467504 1507072 1518846 1521856 1539552 1576208 1594536 1675968 1695456 1712088 1731996 1735824 1759488 1773234 1793853 1860292 1885464 1911168 1937664 1952802 1956672 1979424 2025128 2052736 2068773 2080512 2126048 2154816 2234624 2260608 2278269 2282784 2309328 2314432 2364312 2391804 2513952 2543184 2568132 2603736 2608896 2639232 2659851 2758364 2790438 2856877 2873088 2906496 2935008 3037692 3043712 3079104 3152416 3189072 3351936 3390912 3424176 3463992 3471648 3546468 3587706 3720584 3770928 3822336 3905604 3913344 3958848 4050256 4105472 4137546 4185657 4252096 4309632 4521216 4556538 4565568 4618656 4628864 4728624 4783608 5027904 5086368 5136264 5207472 5278464 5319702 5516728 5580876 5713754 5812992 5870016 6075384 6087424 6158208 6206319 6304832 6378144 6703872 6781824 6834807 6848352 6927984 6943296 7092936 7175412 7441168 7541856 7811208 7826688 7917696 8100512 8275092 8371314 8504192 8570631 8619264 9113076 9131136 9237312 9257728 9457248 9567216 10055808 10172736 10272528 10414944 10639404 11033456 11161752 11427508 11740032 12150768 12316416 12412638 12556971 12609664 12756288 13563648 13669614 13696704 13855968 13886592 14185872 14350824 14882336 15083712 15622416 15835392 16201024 16550184 16742628 17008384 17141262 18226152 18262272 18474624 18618957 18914496 19134432 19998139 20111616 20345472 20545056 20829888 21278808 22066912 22323504 22855016 23480064 24301536 24825276 25113942 25219328 25512576 25711893 27339228 27393408 27711936 27773184 28371744 28701648 29764672 30167424 31244832 32402048 33100368 33485256 34282524 36452304 36949248 37237914 37828992 38268864 39996278 40690944 41090112 41659776 42557616 44133824 44647008 45710032 48603072 49650552 50227884 51025152 51423786 54678456 54786816 55423872 56743488 57403296 59529344 59994417 60334848 62489664 64804096 66200736 66970512 68565048 72904608 74475828 75657984 76537728 77135679 79992556 82180224 83319552 85115232 88267648 89294016 91420064 97206144 99301104 100455768 102847572 109356912 110847744 113486976 114806592 119058688 119988834 124979328 132401472 133941024 137130096 145809216 148951656 153075456 154271358 159985112 164360448 170230464 176535296 178588032 179983251 182840128 194412288 198602208 200911536 205695144 218713824 226973952 229613184 239977668 249958656 264802944 267882048 274260192 291618432 297903312 308542716 319970224 340460928 357176064 359966502 365680256 397204416 401823072 411390288 437427648 459226368 479955336 529605888 535764096 539949753 548520384 583236864 595806624 617085432 639940448 680921856 719933004 731360512 794408832 803646144 822780576 874855296 959910672 1071528192 1079899506 1097040768 1191613248 1234170864 1279880896 1439866008 1588817664 1607292288 1645561152 1749710592 1919821344 2159799012 2194081536 2383226496 2468341728 2559761792 2879732016 3214584576 3291122304 3839642688 4319598024 4766452992 4936683456 5119523584 5759464032 6582244608 7679285376 8639196048 9873366912 11518928064 15358570752 17278392096 19746733824 23037856128 34556784192 46075712256 69113568384 138227136768
• Sum of all divisors σ(n): 501339238400
• Sum of proper divisors (its aliquot sum) s(n): 363112101632
• 138227136768 is an abundant number, because the sum of its proper divisors (363112101632) is greater than itself. Its abundance is 224884964864

Bases of 138227136768

• Binary: 10000000101110111110101011100100000000₂
• Hexadecimal: 0x202EFAB900
• Base-36: 1RI0V9C0

Squares and roots of 138227136768

• 138227136768 squared (138227136768²) is 19106741339079377485824
• 138227136768 cubed (138227136768³) is 2641070148267724574941294029176832
• The square root of 138227136768 is 371789.1025406741
• The cube root of 138227136768 is 5170.4828749835

Scales and comparisons

• 138,227,136,768 seconds is equal to 4,395 years, 10 weeks, 1 day, 2 hours, 52 minutes, 48 seconds.
• To count from 1 to 138,227,136,768 would take you about eight thousand, seven hundred ninety 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 138227136768 cubic inches would be around 430.9 feet tall.

Recreational maths with 138227136768

• 138227136768 backwards is 867631722831
• 138227136768 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138227136768's digits is 54
• More coming soon!