138318948768

Names of 138318948768

• Cardinal: 138318948768 can be written as One hundred thirty-eight billion, three hundred eighteen million, nine hundred forty-eight thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.38318948768 × 10¹¹

Factors of 138318948768

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 223

Divisors of 138318948768

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 6 7 8 11 12 13 14 16 19 21 22 24 26 28 32 33 38 39 42 44 48 52 56 57 66 71 76 77 78 84 88 91 96 97 104 112 114 121 132 133 142 143 152 154 156 168 176 182 194 208 209 213 224 228 231 242 247 264 266 273 284 286 291 304 308 312 336 352 363 364 388 399 416 418 426 429 456 462 484 494 497 528 532 546 568 572 582 608 616 624 627 672 679 726 728 741 776 781 798 836 847 852 858 912 923 924 968 988 994 1001 1056 1064 1067 1092 1136 1144 1164 1232 1248 1254 1261 1349 1358 1452 1456 1463 1482 1491 1552 1562 1573 1596 1672 1694 1704 1716 1729 1824 1843 1846 1848 1936 1976 1988 2002 2037 2128 2134 2184 2272 2288 2299 2328 2343 2464 2508 2522 2541 2698 2716 2717 2769 2904 2912 2926 2964 2982 3003 3104 3124 3146 3192 3201 3344 3388 3408 3432 3458 3686 3692 3696 3783 3872 3952 3976 4004 4047 4074 4256 4268 4368 4389 4576 4598 4656 4686 4719 5016 5044 5082 5187 5396 5432 5434 5467 5529 5538 5808 5852 5928 5964 6006 6248 6292 6384 6402 6461 6688 6776 6816 6864 6887 6897 6916 7372 7384 7392 7469 7566 7904 7952 8008 8094 8148 8151 8536 8591 8736 8778 8827 9196 9312 9372 9438 9443 10032 10088 10153 10164 10374 10792 10864 10868 10934 11011 11058 11076 11616 11704 11737 11856 11928 12012 12496 12584 12768 12804 12901 12922 13552 13728 13774 13794 13832 13871 14744 14768 14839 14938 15132 15904 16016 16093 16188 16296 16302 16401 17072 17182 17537 17556 17654 18392 18744 18876 18886 19019 19383 20064 20176 20273 20306 20328 20661 20748 21584 21728 21736 21868 22022 22116 22152 22407 23408 23474 23712 23856 23959 24024 24992 25168 25608 25773 25802 25844 26481 27104 27548 27588 27664 27742 28329 29488 29536 29678 29876 29887 30264 30459 32032 32186 32376 32592 32604 32802 33033 34144 34364 35074 35112 35211 35308 36784 37488 37752 37772 38038 38703 38766 40352 40546 40612 40656 41322 41496 41613 43168 43472 43736 44044 44232 44304 44517 44814 46816 46948 47712 47918 48048 48209 48279 50336 51216 51546 51604 51688 52611 52962 55096 55176 55328 55484 56658 57057 58976 59356 59752 59774 60137 60528 60819 60918 64372 64752 65184 65208 65604 66066 68728 70148 70224 70422 70616 71071 71877 73568 74976 75504 75544 75757 76076 77406 77532 81092 81224 81312 82159 82644 82992 83226 86944 87472 88088 88464 88608 89034 89531 89628 89661 93896 95836 96096 96418 96558 97097 102432 103092 103208 103376 103873 105222 105924 110192 110352 110968 111683 113316 114114 118712 119504 119548 120274 121056 121638 121836 122759 128744 129504 130416 130853 131208 132132 137456 140296 140448 140844 141232 141911 142142 143754 144627 151008 151088 151514 152152 152581 154812 155064 162184 162448 163229 164318 165288 165984 166452 167713 174944 176176 176928 178068 179062 179256 179322 180411 187792 191672 192836 192907 193116 194194 206184 206416 206752 207746 209209 210444 211848 213213 220384 220704 221936 223003 223366 226632 227271 228228 237424 239008 239096 240548 243276 243672 245518 246477 257488 260832 261706 262416 263549 264264 268593 274912 280592 281688 282464 283822 284284 287508 289254 291291 302176 303028 304304 305162 309624 310128 311619 324368 324896 326458 328636 330576 332904 335049 335426 352352 356136 358124 358512 358644 360822 368277 375584 383344 385672 385814 386232 388388 392559 412368 412832 415492 418418 420888 423696 425733 426426 443872 446006 446732 453264 454542 456456 457743 474848 478192 481096 486552 487344 489687 491036 492954 503139 514976 523412 524832 527098 528528 530299 537186 561184 563376 567644 568568 575016 578508 578721 582582 606056 608608 610324 619248 620256 623238 626717 627627 648736 652916 657272 661152 665808 669009 670098 670852 712272 716248 717024 717288 721644 736554 766688 771344 771628 772464 776776 781781 785118 790647 824736 830984 833327 836836 841776 847392 851466 852852 892012 893464 906528 909084 912912 915486 915971 956384 962192 973104 974688 979374 982072 984841 985908 1006278 1046824 1054196 1057056 1060598 1068067 1074372 1126752 1135288 1137136 1142603 1150032 1157016 1157442 1165164 1212112 1220648 1238496 1246476 1253434 1255254 1305832 1314544 1331616 1338018 1340196 1341704 1350349 1424544 1432496 1434576 1439383 1443288 1473108 1542688 1543256 1544928 1553552 1561021 1563562 1570236 1581294 1590897 1661968 1666654 1673672 1683552 1701089 1702932 1705704 1784024 1786928 1818168 1825824 1830972 1831942 1844843 1880151 1924384 1946208 1958748 1964144 1969682 1971816 2012556 2093648 2108392 2121196 2121977 2136134 2148744 2270576 2274272 2285206 2300064 2314032 2314884 2330328 2345343 2424224 2441296 2492952 2499981 2506868 2510508 2611664 2629088 2676036 2680392 2683408 2700698 2747913 2864992 2869152 2878766 2886576 2899039 2946216 2954523 3086512 3107104 3122042 3127124 3140472 3162588 3181794 3204201 3323936 3333308 3347344 3402178 3405864 3411408 3427809 3568048 3573856 3636336 3661944 3663884 3689686 3760302 3917496 3928288 3939364 3943632 4025112 4051047 4187296 4216784 4242392 4243954 4272268 4297488 4318149 4541152 4570412 4628064 4629768 4660656 4683063 4690686 4882592 4985904 4999962 5013736 5021016 5103267 5223328 5352072 5360784 5366816 5401396 5495826 5534529 5757532 5773152 5798078 5833289 5892432 5909046 6173024 6244084 6254248 6280944 6325176 6363588 6365931 6408402 6666616 6694688 6804356 6811728 6822816 6855618 6893887 7136096 7272672 7323888 7327768 7379372 7520604 7834992 7878728 7887264 8050224 8102094 8433568 8484784 8487908 8544536 8594976 8636298 8697117 9140824 9259536 9321312 9366126 9381372 9971808 9999924 10027472 10042032 10075681 10206534 10704144 10721568 10802792 10833251 10991652 11069058 11515064 11596156 11666578 11784864 11818092 11907623 12488168 12508496 12561888 12650352 12727176 12731862 12816804 13333232 13608712 13623456 13711236 13787774 14647776 14655536 14758744 14853839 15041208 15669984 15757456 15833213 16100448 16204188 16969568 16975816 17089072 17272596 17394234 17499867 18281648 18519072 18711979 18732252 18762744 19999848 20054944 20084064 20151362 20293273 20413068 20681661 21408288 21605584 21666502 21983304 22138116 23030128 23192312 23333156 23636184 23815246 24976336 25016992 25300704 25454352 25463724 25633608 26666464 27217424 27422472 27575548 29311072 29517488 29707678 30082416 30227043 31514912 31666426 32408376 32499753 33951632 34178144 34545192 34788468 34999734 35722869 36563296 37423958 37464504 37525488 39999696 40302724 40586546 40826136 41363322 43211168 43333004 43966608 44276232 44561517 46060256 46384624 46666312 47272368 47499639 47630492 49952672 50908704 50927448 51267216 54434848 54844944 55151096 56135937 59034976 59415356 60164832 60454086 60879819 63332852 64816752 64999506 67903264 69090384 69576936 69999468 71445738 74847916 74929008 75050976 75832757 79999392 80605448 81173092 81652272 82726644 86666008 87933216 88552464 89123034 92769248 93332624 94544736 94999278 95260984 101854896 102534432 109689888 110302192 110832491 112271874 118830712 120908172 121759638 126665704 129633504 129999012 130983853 138180768 139153872 139998936 142891476 149695832 149858016 151665514 161210896 162346184 163304544 165453288 173332016 177104928 178246068 186665248 189998556 190521968 203709792 205831769 220604384 221664982 224543748 227498271 237661424 241816344 243519276 253331408 259998024 261967706 278307744 279997872 285782952 299391664 303331028 322421792 324692368 330906576 332497473 346664032 356492136 379997112 381043936 392951559 411663538 443329964 449087496 454996542 475322848 483632688 487038552 506662816 519996048 523935412 559995744 571565904 598783328 606662056 617495307 649384736 661813152 664994946 712984272 759994224 785903118 823327076 886659928 898174992 909993084 967265376 974077104 1039992096 1047870824 1143131808 1213324112 1234990614 1329989892 1425968544 1440822383 1519988448 1571806236 1646654152 1773319856 1796349984 1819986168 1948154208 2095741648 2426648224 2469981228 2659979784 2881644766 3143612472 3293308304 3546639712 3639972336 4191483296 4322467149 4939962456 5319959568 5763289532 6287224944 6586616608 7279944672 8644934298 9879924912 10639919136 11526579064 12574449888 17289868596 19759849824 23053158128 34579737192 46106316256 69159474384 138318948768
• Sum of all divisors σ(n): 529735127040
• Sum of proper divisors (its aliquot sum) s(n): 391416178272
• 138318948768 is an abundant number, because the sum of its proper divisors (391416178272) is greater than itself. Its abundance is 253097229504

Bases of 138318948768

• Binary: 10000000110100011100111010100110100000₂
• Hexadecimal: 0x203473A9A0
• Base-36: 1RJJJ3XC

Squares and roots of 138318948768

• 138318948768 squared (138318948768²) is 19132131588284608717824
• 138318948768 cubed (138318948768³) is 2646336328982573262243624024440832
• The square root of 138318948768 is 371912.5552707249
• The cube root of 138318948768 is 5171.6273856793

Scales and comparisons

• 138,318,948,768 seconds is equal to 4,398 years, 5 weeks, 6 days, 18 hours, 12 minutes, 48 seconds.
• To count from 1 to 138,318,948,768 would take you about eight thousand, seven hundred ninety-six 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 138318948768 cubic inches would be around 431 feet tall.

Recreational maths with 138318948768

• 138318948768 backwards is 867849813831
• 138318948768 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138318948768's digits is 66
• More coming soon!