107006068310016000
107,006,068,310,016,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 107006068310016000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2592 divisors.
107006068310016000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 107006068310016000:
217 × 3 × 53 × 432 × 73 × 1272
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 43 × 43 × 73 × 127 × 127)See below for interesting mathematical facts about the number 107006068310016000 from the Numbermatics database.
Names of 107006068310016000
- Cardinal: 107006068310016000 can be written as One hundred seven quadrillion, six trillion, sixty-eight billion, three hundred ten million, sixteen thousand.
Scientific notation
- Scientific notation: 1.07006068310016 × 1017
Factors of 107006068310016000
Divisors of 107006068310016000
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 43 48 50 60 64 73 75 80 86 96 100 120 125 127 128 129 146 150 160 172 192 200 215 219 240 250 254 256 258 292 300 320 344 365 375 381 384 400 430 438 480 500 508 512 516 584 600 635 640 645 688 730 750 762 768 800 860 876 960 1000 1016 1024 1032 1075 1095 1168 1200 1270 1280 1290 1376 1460 1500 1524 1536 1600 1720 1752 1825 1849 1905 1920 2000 2032 2048 2064 2150 2190 2336 2400 2540 2560 2580 2752 2920 3000 3048 3072 3139 3175 3200 3225 3440 3504 3650 3698 3810 3840 4000 4064 4096 4128 4300 4380 4672 4800 5080 5120 5160 5375 5461 5475 5504 5547 5840 6000 6096 6144 6278 6350 6400 6450 6880 7008 7300 7396 7620 7680 8000 8128 8192 8256 8600 8760 9125 9245 9271 9344 9417 9525 9600 10160 10240 10320 10750 10922 10950 11008 11094 11680 12000 12192 12288 12556 12700 12800 12900 13760 14016 14600 14792 15240 15360 15695 15875 16000 16125 16129 16256 16383 16384 16512 17200 17520 18250 18490 18542 18688 18834 19050 19200 20320 20480 20640 21500 21844 21900 22016 22188 23360 24000 24384 24576 25112 25400 25600 25800 27305 27375 27520 27735 27813 28032 29200 29584 30480 30720 31390 31750 32000 32250 32258 32512 32766 32768 33024 34400 35040 36500 36980 37084 37376 37668 38100 38400 40640 40960 41280 43000 43688 43800 44032 44376 46225 46355 46720 47085 47625 48000 48387 48768 49152 50224 50800 51200 51600 54610 54750 55040 55470 55626 56064 58400 59168 60960 61440 62780 63500 64000 64500 64516 65024 65532 65536 66048 68800 70080 73000 73960 74168 74752 75336 76200 76800 78475 80645 81280 81915 81920 82560 86000 87376 87600 88064 88752 92450 92710 93440 94170 95250 96000 96774 97536 98304 100448 101600 102400 103200 109220 109500 110080 110940 111252 112128 116800 118336 121920 122880 125560 127000 128000 129000 129032 130048 131064 131072 132096 134977 136525 137600 138675 139065 140160 146000 147920 148336 149504 150672 152400 153600 156950 161290 162560 163830 163840 165120 172000 174752 175200 176128 177504 184900 185420 186880 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210641866752000 214012136620032 222929308979200 244306092032000 248851321651200 267515170775040 278661636224000 280855822336000 285349515493376 293167310438400 311064152064000 334393963468800 356686894366720 366459138048000 414752202752000 417992454336000 421283733504000 428024273240064 445858617958400 488612184064000 497702643302400 535030341550080 557323272448000 622128304128000 668787926937600 713373788733440 732918276096000 829504405504000 835984908672000 842567467008000 856048546480128 891717235916800 1070060683100160 1114646544896000 1244256608256000 1337575853875200 1426747577466880 1465836552192000 1671969817344000 1783434471833600 2140121366200320 2229293089792000 2488513216512000 2675151707750400 3343939634688000 3566868943667200 4280242732400640 4458586179584000 5350303415500800 6687879269376000 7133737887334400 8917172359168000 10700606831001600 13375758538752000 17834344718336000 21401213662003200 26751517077504000 35668689436672000 53503034155008000 107006068310016000
- Sum of all divisors σ(n): 372516569042331168
- Sum of proper divisors (its aliquot sum) s(n): 265510500732315168
- 107006068310016000 is an abundant number, because the sum of its proper divisors (265510500732315168) is greater than itself. Its abundance is 158504432422299168
Bases of 107006068310016000
- Binary: 1011111000010100101110011110000100110111000000000000000002
- Hexadecimal: 0x17C2973C26E0000
- Base-36: T9MHH5CZ11C
Squares and roots of 107006068310016000
- 107006068310016000 squared (1070060683100160002) is 11450298655167810450285920256000000
- 107006068310016000 cubed (1070060683100160003) is 1225251440064971064334909726911953262084096000000000
-
The
square root of 107006068310016000 is 327117820.2269267997 -
The
cube root of 107006068310016000 is 474754.9144663021
Scales and comparisons
How big is 107006068310016000?- 107,006,068,310,016,000 seconds is equal to 3,402,461,980 years, 39 weeks, 2 days, 13 hours, 20 minutes.
-
To count from 1 to 107,006,068,310,016,000 would take you about ten billion, two hundred seven million, three hundred eighty-five thousand, nine hundred forty-two 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 107006068310016000 cubic inches would be around 39562.9 feet tall.
Recreational maths with 107006068310016000
- 107006068310016000 backwards is 000610013860600701
- The number of decimal digits it has is: 18
- The sum of 107006068310016000's digits is 39
- More coming soon!
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"Number 107006068310016000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 107006068310016000 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/107006068310016000/
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The information we have on file for 107006068310016000 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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