664142664000
664,142,664,000 is an even composite number composed of six prime numbers multiplied together.
664142664000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 664142664000:
26 × 3 × 53 × 23 × 641 × 1877
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 23 × 641 × 1877)See below for interesting mathematical facts about the number 664142664000 from the Numbermatics database.
Names of 664142664000
- Cardinal: 664142664000 can be written as Six hundred sixty-four billion, one hundred forty-two million, six hundred sixty-four thousand.
Scientific notation
- Scientific notation: 6.64142664 × 1011
Factors of 664142664000
Divisors of 664142664000
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 32 40 46 48 50 60 64 69 75 80 92 96 100 115 120 125 138 150 160 184 192 200 230 240 250 276 300 320 345 368 375 400 460 480 500 552 575 600 641 690 736 750 800 920 960 1000 1104 1150 1200 1282 1380 1472 1500 1600 1725 1840 1877 1923 2000 2208 2300 2400 2564 2760 2875 3000 3205 3450 3680 3754 3846 4000 4416 4600 4800 5128 5520 5631 5750 6000 6410 6900 7360 7508 7692 8000 8625 9200 9385 9615 10256 11040 11262 11500 12000 12820 13800 14743 15016 15384 16025 17250 18400 18770 19230 20512 22080 22524 23000 24000 25640 27600 28155 29486 30032 30768 32050 34500 36800 37540 38460 41024 43171 44229 45048 46000 46925 48075 51280 55200 56310 58972 60064 61536 64100 69000 73715 75080 76920 80125 86342 88458 90096 92000 93850 96150 102560 110400 112620 117944 120128 123072 128200 129513 138000 140775 147430 150160 153840 160250 172684 176916 180192 184000 187700 192300 205120 215855 221145 225240 234625 235888 240375 256400 259026 276000 281550 294860 300320 307680 320500 345368 353832 360384 368575 375400 384600 431710 442290 450480 469250 471776 480750 512800 518052 552000 563100 589720 600640 615360 641000 647565 690736 703875 707664 737150 750800 769200 863420 884580 900960 938500 943552 961500 1025600 1036104 1079275 1105725 1126200 1179440 1203157 1282000 1295130 1381472 1407750 1415328 1474300 1501600 1538400 1726840 1769160 1801920 1842875 1877000 1923000 2072208 2158550 2211450 2252400 2358880 2406314 2564000 2590260 2762944 2815500 2830656 2948600 3003200 3076800 3237825 3453680 3538320 3609471 3685750 3754000 3846000 4144416 4317100 4422900 4504800 4717760 4812628 5128000 5180520 5396375 5528625 5631000 5897200 6015785 6475650 6907360 7076640 7218942 7371500 7508000 7692000 8288832 8634200 8845800 9009600 9625256 10361040 10792750 11057250 11262000 11794400 12031570 12951300 13814720 14153280 14437884 14743000 15016000 15384000 16189125 17268400 17691600 18047355 19250512 20722080 21585500 22114500 22524000 23588800 24063140 25902600 27672611 28875768 29486000 30078925 32378250 34536800 35383200 36094710 38501024 41444160 43171000 44229000 45048000 48126280 51805200 55345222 57751536 58972000 60157850 64756500 69073600 70766400 72189420 77002048 83017833 86342000 88458000 90236775 96252560 103610400 110690444 115503072 117944000 120315700 129513000 138363055 144378840 150394625 166035666 172684000 176916000 180473550 192505120 207220800 221380888 231006144 240631400 259026000 276726110 288757680 300789250 332071332 345368000 353832000 360947100 385010240 415089165 442761776 451183875 481262800 518052000 553452220 577515360 601578500 664142664 691815275 721894200 830178330 885523552 902367750 962525600 1036104000 1106904440 1155030720 1203157000 1328285328 1383630550 1443788400 1660356660 1771047104 1804735500 1925051200 2075445825 2213808880 2406314000 2656570656 2767261100 2887576800 3320713320 3459076375 3609471000 4150891650 4427617760 4812628000 5313141312 5534522200 5775153600 6641426640 6918152750 7218942000 8301783300 8855235520 9625256000 10377229125 11069044400 13282853280 13836305500 14437884000 16603566600 20754458250 22138088800 26565706560 27672611000 28875768000 33207133200 41508916500 44276177600 55345222000 66414266400 83017833000 110690444000 132828532800 166035666000 221380888000 332071332000 664142664000
- Sum of all divisors σ(n): 2293137879552
- Sum of proper divisors (its aliquot sum) s(n): 1628995215552
- 664142664000 is an abundant number, because the sum of its proper divisors (1628995215552) is greater than itself. Its abundance is 964852551552
Bases of 664142664000
- Binary: 10011010101000011111110011010001010000002
- Hexadecimal: 0x9AA1FCD140
- Base-36: 8H3PE79C
Squares and roots of 664142664000
- 664142664000 squared (6641426640002) is 441085478145016896000000
- 664142664000 cubed (6641426640003) is 292943684506945299634450944000000000
-
The
square root of 664142664000 is 814949.4855510983 -
The
cube root of 664142664000 is 8724.7661078561
Scales and comparisons
How big is 664142664000?- 664,142,664,000 seconds is equal to 21,117 years, 35 weeks, 3 days, 9 hours, 20 minutes.
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To count from 1 to 664,142,664,000 would take you about forty-two thousand, two hundred thirty-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 664142664000 cubic inches would be around 727.1 feet tall.
Recreational maths with 664142664000
- 664142664000 backwards is 000466241466
- The number of decimal digits it has is: 12
- The sum of 664142664000's digits is 39
- More coming soon!
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