642038238400000
642,038,238,400,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 642038238400000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
642038238400000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 642038238400000:
29 × 55 × 13 × 172 × 292 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 5 × 13 × 17 × 17 × 29 × 29 × 127)See below for interesting mathematical facts about the number 642038238400000 from the Numbermatics database.
Names of 642038238400000
- Cardinal: 642038238400000 can be written as Six hundred forty-two trillion, thirty-eight billion, two hundred thirty-eight million, four hundred thousand.
Scientific notation
- Scientific notation: 6.420382384 × 1014
Factors of 642038238400000
Divisors of 642038238400000
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 29 32 34 40 50 52 58 64 65 68 80 85 100 104 116 125 127 128 130 136 145 160 170 200 208 221 232 250 254 256 260 272 289 290 320 325 340 377 400 416 425 442 464 493 500 508 512 520 544 578 580 625 635 640 650 680 725 754 800 832 841 850 884 928 986 1000 1016 1040 1088 1105 1156 1160 1250 1270 1280 1300 1360 1445 1450 1508 1600 1625 1651 1664 1682 1700 1768 1856 1885 1972 2000 2032 2080 2125 2159 2176 2210 2312 2320 2465 2500 2540 2560 2600 2720 2890 2900 3016 3125 3175 3200 3250 3302 3328 3364 3400 3536 3625 3683 3712 3757 3770 3944 4000 4064 4160 4205 4250 4318 4352 4420 4624 4640 4930 5000 5080 5200 5440 5525 5780 5800 6032 6250 6350 6400 6409 6500 6604 6656 6728 6800 7072 7225 7250 7366 7424 7514 7540 7888 8000 8125 8128 8255 8320 8381 8410 8500 8636 8704 8840 9248 9280 9425 9860 10000 10160 10400 10625 10795 10880 10933 11050 11560 11600 12064 12325 12500 12700 12800 12818 13000 13208 13456 13600 14144 14297 14450 14500 14732 14848 15028 15080 15776 15875 16000 16250 16256 16510 16640 16762 16820 17000 17272 17680 18125 18415 18496 18560 18785 18850 19720 20000 20320 20800 21025 21250 21590 21760 21866 22100 23120 23200 24128 24650 25000 25400 25636 26000 26416 26912 27200 27625 28067 28288 28594 28900 29000 29464 30056 30160 31552 31750 32000 32045 32500 32512 33020 33280 33524 33640 34000 34544 35360 36125 36250 36703 36830 36992 37120 37570 37700 39440 40000 40625 40640 41275 41600 41905 42050 42500 43180 43520 43732 44200 46240 46400 47125 47879 48256 49300 50000 50800 51272 52000 52832 53125 53824 53975 54400 54665 55250 56134 56576 57188 57800 58000 58928 60112 60320 61625 62611 63104 63500 64000 64090 65000 65024 66040 67048 67280 68000 69088 70720 71485 72250 72500 73406 73660 73984 74240 75140 75400 78880 79375 80000 81250 81280 82550 83200 83810 84100 85000 86360 87464 88400 90625 92075 92480 92800 93925 94250 95758 96512 98600 100000 101600 102544 104000 105125 105664 106250 106807 107648 107950 108800 108953 109330 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12346889200000 12840764768000 16050955960000 18883477600000 20063694950000 22139249600000 24693778400000 25681529536000 32101911920000 37766955200000 40127389900000 49387556800000 64203823840000 80254779800000 128407647680000 160509559600000 321019119200000 642038238400000
- Sum of all divisors σ(n): 1914707367885312
- Sum of proper divisors (its aliquot sum) s(n): 1272669129485312
- 642038238400000 is an abundant number, because the sum of its proper divisors (1272669129485312) is greater than itself. Its abundance is 630630891085312
Bases of 642038238400000
- Binary: 100100011111101110001011010010000111001110000000002
- Hexadecimal: 0x247EE2D21CE00
- Base-36: 6BL0AM7GN4
Squares and roots of 642038238400000
- 642038238400000 squared (6420382384000002) is 412213099567775234560000000000
- 642038238400000 cubed (6420382384000003) is 264656572291898213004049199104000000000000000
-
The
square root of 642038238400000 is 25338473.4820391261 -
The
cube root of 642038238400000 is 86268.7750610713
Scales and comparisons
How big is 642038238400000?- 642,038,238,400,000 seconds is equal to 20,414,830 years, 1 week, 2 days, 15 hours, 6 minutes, 40 seconds.
-
To count from 1 to 642,038,238,400,000 would take you about fifty-one million, thirty-seven thousand and seventy-five 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 642038238400000 cubic inches would be around 7189.1 feet tall.
Recreational maths with 642038238400000
- 642038238400000 backwards is 000004832830246
- 642038238400000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 642038238400000's digits is 40
- More coming soon!
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The information we have on file for 642038238400000 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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