138522888920064000
138,522,888,920,064,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138522888920064000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2688 divisors.
138522888920064000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 138522888920064000:
213 × 3 × 53 × 11 × 17 × 31 × 27892
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 17 × 31 × 2789 × 2789)See below for interesting mathematical facts about the number 138522888920064000 from the Numbermatics database.
Names of 138522888920064000
- Cardinal: 138522888920064000 can be written as One hundred thirty-eight quadrillion, five hundred twenty-two trillion, eight hundred eighty-eight billion, nine hundred twenty million, sixty-four thousand.
Scientific notation
- Scientific notation: 1.38522888920064 × 1017
Factors of 138522888920064000
Divisors of 138522888920064000
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 24 25 30 31 32 33 34 40 44 48 50 51 55 60 62 64 66 68 75 80 85 88 93 96 100 102 110 120 124 125 128 132 136 150 155 160 165 170 176 186 187 192 200 204 220 240 248 250 255 256 264 272 275 300 310 320 330 340 341 352 372 374 375 384 400 408 425 440 465 480 496 500 510 512 527 528 544 550 561 600 620 640 660 680 682 704 744 748 750 768 775 800 816 825 850 880 930 935 960 992 1000 1020 1023 1024 1054 1056 1088 1100 1122 1200 1240 1275 1280 1320 1360 1364 1375 1408 1488 1496 1500 1536 1550 1581 1600 1632 1650 1700 1705 1760 1860 1870 1920 1984 2000 2040 2046 2048 2108 2112 2125 2176 2200 2244 2325 2400 2480 2550 2560 2635 2640 2720 2728 2750 2789 2805 2816 2976 2992 3000 3072 3100 3162 3200 3264 3300 3400 3410 3520 3720 3740 3840 3875 3968 4000 4080 4092 4096 4125 4216 4224 4250 4352 4400 4488 4650 4675 4800 4960 5100 5115 5120 5270 5280 5440 5456 5500 5578 5610 5632 5797 5952 5984 6000 6144 6200 6324 6375 6400 6528 6600 6800 6820 7040 7440 7480 7680 7750 7905 7936 8000 8160 8184 8192 8250 8367 8432 8448 8500 8525 8704 8800 8976 9300 9350 9600 9920 10200 10230 10240 10540 10560 10880 10912 11000 11156 11220 11264 11594 11625 11904 11968 12000 12288 12400 12648 12750 12800 13056 13175 13200 13600 13640 13945 14025 14080 14880 14960 15360 15500 15810 15872 16000 16320 16368 16500 16734 16864 16896 17000 17050 17391 17408 17600 17952 18600 18700 19200 19840 20400 20460 20480 21080 21120 21760 21824 22000 22312 22440 22528 23188 23250 23375 23808 23936 24000 24576 24800 25296 25500 25575 25600 26112 26350 26400 27200 27280 27890 28050 28160 28985 29760 29920 30679 30720 31000 31620 31744 32000 32640 32736 33000 33468 33728 33792 34000 34100 34782 34816 35200 35904 37200 37400 38400 39525 39680 40800 40920 40960 41835 42160 42240 42625 43520 43648 44000 44624 44880 45056 46376 46500 46750 47413 47616 47872 48000 49600 50592 51000 51150 51200 52224 52700 52800 54400 54560 55780 56100 56320 57970 59520 59840 61358 61440 62000 63240 63488 64000 65280 65472 65875 66000 66936 67456 67584 68000 68200 69564 69632 69725 70125 70400 71808 74400 74800 76800 79050 79360 81600 81840 83670 84320 84480 85250 86459 86955 87040 87296 88000 89248 89760 90112 92037 92752 93000 93500 94826 95232 95744 96000 99200 101184 102000 102300 102400 104448 105400 105600 108800 109120 111560 112200 112640 115940 119040 119680 122716 122880 124000 126480 126976 127875 128000 130560 130944 131750 132000 133872 134912 135168 136000 136400 139128 139264 139450 140250 140800 142239 143616 144925 148800 149600 153395 153600 158100 158720 163200 163680 167340 168640 168960 170500 172918 173910 174080 174592 176000 178496 179520 184074 185504 186000 187000 189652 190464 191488 192000 197625 198400 202368 204000 204600 204800 208896 209175 210800 211200 217600 218240 223120 224400 225280 231880 237065 238080 239360 245432 248000 252960 253952 255750 256000 259377 261120 261888 263500 264000 267744 269824 270336 272000 272800 278256 278900 280500 281600 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101855065382400 104941582515200 108221006968800 108645403074560 111712007193600 115435740766720 123460685312000 125929899018240 127318831728000 131176978144000 131425890816000 135276258711000 135408493568000 135806753843200 138522888920064 139640008992000 144294675958400 148152822374400 148949342924800 157412373772800 162968104611840 167906532024320 169758442304000 173153611150080 178739211509760 180368344948000 184697185226752 185191027968000 186186678656000 196765467216000 203112740352000 203710130764800 209883165030400 216442013937600 223424014387200 230871481533440 246921370624000 251859798036480 254637663456000 262353956288000 262851781632000 270552517422000 271613507686400 277045777840128 279280017984000 288589351916800 297898685849600 314824747545600 325936209223680 339516884608000 346307222300160 360736689896000 369394370453504 370382055936000 372373357312000 393530934432000 406225480704000 407420261529600 419766330060800 432884027875200 446848028774400 461742963066880 503719596072960 509275326912000 524707912576000 541105034844000 543227015372800 554091555680256 558560035968000 577178703833600 629649495091200 679033769216000 692614444600320 721473379792000 740764111872000 744746714624000 787061868864000 814840523059200 839532660121600 865768055750400 893696057548800 923485926133760 1018550653824000 1049415825152000 1082210069688000 1108183111360512 1117120071936000 1154357407667200 1259298990182400 1358067538432000 1385228889200640 1442946759584000 1489493429248000 1574123737728000 1629681046118400 1731536111500800 1846971852267520 2037101307648000 2098831650304000 2164420139376000 2234240143872000 2308714815334400 2518597980364800 2716135076864000 2770457778401280 2885893519168000 3148247475456000 3463072223001600 4074202615296000 4197663300608000 4328840278752000 4468480287744000 4617429630668800 5540915556802560 5771787038336000 6296494950912000 6926144446003200 8148405230592000 8657680557504000 9234859261337600 11543574076672000 12592989901824000 13852288892006400 17315361115008000 23087148153344000 27704577784012800 34630722230016000 46174296306688000 69261444460032000 138522888920064000
- Sum of all divisors σ(n): 549837712068562944
- Sum of proper divisors (its aliquot sum) s(n): 411314823148498944
- 138522888920064000 is an abundant number, because the sum of its proper divisors (411314823148498944) is greater than itself. Its abundance is 272791934228434944
Bases of 138522888920064000
- Binary: 1111011000010000111010101011000110101011101100000000000002
- Hexadecimal: 0x1EC21D563576000
- Base-36: 11VY9KNO02DC
Squares and roots of 138522888920064000
- 138522888920064000 squared (1385228889200640002) is 19188590754760389696181764096000000
- 138522888920064000 cubed (1385228889200640003) is 2658059025654240492908403720940407849222144000000000
-
The
square root of 138522888920064000 is 372186631.8395436403 -
The
cube root of 138522888920064000 is 517416.7853564275
Scales and comparisons
How big is 138522888920064000?- 138,522,888,920,064,000 seconds is equal to 4,404,599,388 years, 11 weeks, 6 days, 13 hours, 20 minutes.
-
To count from 1 to 138,522,888,920,064,000 would take you about thirteen billion, two hundred thirteen million, seven hundred ninety-eight thousand, one hundred sixty-four 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 138522888920064000 cubic inches would be around 43118.1 feet tall.
Recreational maths with 138522888920064000
- 138522888920064000 backwards is 000460029888225831
- 138522888920064000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138522888920064000's digits is 66
- More coming soon!
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Cite this page
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"Number 138522888920064000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 138522888920064000 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/138522888920064000/
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The information we have on file for 138522888920064000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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