138755470616543200

Names of 138755470616543200

• Cardinal: 138755470616543200 can be written as One hundred thirty-eight quadrillion, seven hundred fifty-five trillion, four hundred seventy billion, six hundred sixteen million, five hundred forty-three thousand, two hundred.

Scientific notation

• Scientific notation: 1.387554706165432 × 10¹⁷

Factors of 138755470616543200

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 1496495

Divisors of 138755470616543200

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 41 49 50 56 70 80 82 98 100 112 140 160 164 175 196 200 205 224 245 280 287 328 350 392 400 410 490 560 574 656 700 784 800 820 980 1025 1120 1148 1225 1312 1400 1435 1568 1640 1960 2009 2050 2296 2450 2800 2870 3280 3920 4018 4100 4592 4900 5600 5740 6560 7175 7840 8036 8200 9184 9800 10045 11480 14350 16072 16400 19600 20090 22960 28700 32144 32800 39200 40180 45920 50225 57400 60107 64288 80360 100450 114800 120214 160720 200900 229600 240428 300535 321440 401800 420749 480856 601070 803600 841498 961712 1202140 1436333 1502675 1607200 1682996 1923424 2103745 2404280 2464387 2872666 2945243 3005350 3365992 4207490 4808560 4928774 5745332 5890486 6010700 6731984 7181665 8414980 9617120 9857548 10054331 10518725 11490664 11780972 12021400 12321935 13463968 14363330 14726215 16829960 17250709 19715096 20108662 21037450 22981328 23561944 24042800 24643870 28726660 29452430 33659920 34501418 35908325 39430192 40217324 42074900 45962656 47123888 48085600 49287740 50271655 57453320 58889653 58904860 61609675 67319840 69002836 70380317 71816650 73631075 78860384 80434648 84149800 86253545 94247776 98575480 100543310 114906640 117779306 117809720 120754963 123219350 138005672 140760634 143633300 147262150 160869296 168299600 172507090 197150960 201086620 229813280 235558612 235619440 241509926 246438700 251358275 276011344 281521268 287266600 294448265 294524300 321738592 336599200 345014180 351901585 394301920 402173240 412227571 431267725 471117224 471238880 483019852 492877400 502716550 552022688 563042536 574533200 588896530 589048600 603774815 690028360 703803170 804346480 824455142 862535450 942234448 966039704 985754800 1005433100 1126085072 1149066400 1177793060 1178097200 1207549630 1380056720 1407606340 1472241325 1608692960 1648910284 1725070900 1759507925 1884468896 1932079408 1971509600 2010866200 2061137855 2252170144 2355586120 2356194400 2415099260 2760113440 2815212680 2885592997 2944482650 3018874075 3297820568 3450141800 3519015850 3864158816 4021732400 4122275710 4711172240 4830198520 5630425360 5771185994 5888965300 6037748150 6595641136 6900283600 7038031700 8043464800 8244551420 9422344480 9660397040 10305689275 11260850720 11542371988 11777930600 12075496300 13191282272 13800567200 14076063400 14427964985 16489102840 19320794080 20611378550 23084743976 23555861200 24150992600 28152126800 28855929970 32978205680 41222757100 46169487952 47111722400 48301985200 56304253600 57711859940 65956411360 72139824925 82445514200 86333667631 92338975904 96603970400 115423719880 144279649850 164891028400 172667335262 230847439760 288559299700 329782056800 345334670524 431668338155 461694879520 577118599400 604335673417 690669341048 863336676310 1154237198800 1208671346834 1381338682096 1726673352620 2158341690775 2308474397600 2417342693668 2762677364192 3021678367085 3453346705240 3539680372871 4230349713919 4316683381550 4834685387336 6043356734170 6906693410480 7079360745742 8460699427838 8633366763100 9669370774672 12086713468340 13813386820960 14158721491484 15108391835425 16921398855676 17266733526200 17698401864355 19338741549344 21151748569595 24173426936680 24777762610097 28317442982968 30216783670850 33842797711352 34533467052400 35396803728710 42303497139190 48346853873360 49555525220194 56634885965936 60433567341700 67685595422704 69066934104800 70793607457420 84606994278380 88492009321775 96693707746720 99111050440388 105758742847975 113269771931872 120867134683400 123888813050485 135371190845408 141587214914840 169213988556760 173444338270679 176984018643550 198222100880776 211517485695950 241734269366800 247777626100970 283174429829680 338427977113520 346888676541358 353968037287100 396444201761552 423034971391900 483468538733600 495555252201940 566348859659360 619444065252425 676855954227040 693777353082716 707936074574200 792888403523104 846069942783800 867221691353395 991110504403880 1238888130504850 1387554706165432 1415872149148400 1692139885567600 1734443382706790 1982221008807760 2477776261009700 2775109412330864 2831744298296800 3384279771135200 3468886765413580 3964442017615520 4336108456766975 4955552522019400 5550218824661728 6937773530827160 8672216913533950 9911105044038800 13875547061654320 17344433827067900 19822210088077600 27751094123308640 34688867654135800 69377735308271600 138755470616543200
• Sum of all divisors σ(n): 403658505585682704
• Sum of proper divisors (its aliquot sum) s(n): 264903034969139504
• 138755470616543200 is an abundant number, because the sum of its proper divisors (264903034969139504) is greater than itself. Its abundance is 126147564352596304

Bases of 138755470616543200

• Binary: 111101100111101010101110110001000101111011011111111100000₂
• Hexadecimal: 0x1ECF55D88BDBFE0
• Base-36: 11Y8PJ7P05B4

Squares and roots of 138755470616543200

• 138755470616543200 squared (138755470616543200²) is 19253080626018383362733517466240000
• 138755470616543200 cubed (138755470616543200³) is 2671470263081430951159647038067823938691501568000000
• The square root of 138755470616543200 is 372498953.8462399495
• The cube root of 138755470616543200 is 517706.2065625121

Scales and comparisons

• 138,755,470,616,543,200 seconds is equal to 4,411,994,766 years, 39 weeks, 1 day, 21 hours, 6 minutes, 40 seconds.
• To count from 1 to 138,755,470,616,543,200 would take you about thirteen billion, two hundred thirty-five million, nine hundred eighty-four thousand, three hundred 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 138755470616543200 cubic inches would be around 43142.2 feet tall.

Recreational maths with 138755470616543200

• 138755470616543200 backwards is 002345616074557831
• The number of decimal digits it has is: 18
• The sum of 138755470616543200's digits is 67
• More coming soon!