97148538864000
97,148,538,864,000 is an even composite number composed of seven prime numbers multiplied together.
97148538864000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 97148538864000:
27 × 33 × 53 × 13 × 292 × 67 × 307
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 29 × 29 × 67 × 307)See below for interesting mathematical facts about the number 97148538864000 from the Numbermatics database.
Names of 97148538864000
- Cardinal: 97148538864000 can be written as Ninety-seven trillion, one hundred forty-eight billion, five hundred thirty-eight million, eight hundred sixty-four thousand.
Scientific notation
- Scientific notation: 9.7148538864 × 1013
Factors of 97148538864000
Divisors of 97148538864000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 29 30 32 36 39 40 45 48 50 52 54 58 60 64 65 67 72 75 78 80 87 90 96 100 104 108 116 117 120 125 128 130 134 135 144 145 150 156 160 174 180 192 195 200 201 208 216 225 232 234 240 250 260 261 268 270 288 290 300 307 312 320 325 335 348 351 360 375 377 384 390 400 402 416 432 435 450 464 468 480 500 520 522 536 540 576 580 585 600 603 614 624 640 650 670 675 696 702 720 725 750 754 780 783 800 804 832 841 864 870 871 900 921 928 936 960 975 1000 1005 1040 1044 1072 1080 1125 1131 1152 1160 1170 1200 1206 1228 1248 1300 1305 1340 1350 1392 1404 1440 1450 1500 1508 1535 1560 1566 1600 1608 1625 1664 1675 1682 1728 1740 1742 1755 1800 1809 1842 1856 1872 1885 1920 1943 1950 2000 2010 2080 2088 2144 2160 2175 2250 2262 2320 2340 2400 2412 2456 2496 2523 2600 2610 2613 2680 2700 2763 2784 2808 2880 2900 2925 3000 3015 3016 3070 3120 3132 3200 3216 3250 3350 3364 3375 3393 3456 3480 3484 3510 3600 3618 3625 3684 3712 3744 3770 3886 3900 3915 3991 4000 4020 4160 4176 4205 4288 4320 4350 4355 4500 4524 4605 4640 4680 4800 4824 4875 4912 4992 5025 5046 5200 5220 5226 5360 5400 5526 5568 5616 5655 5760 5800 5829 5850 6000 6030 6032 6140 6240 6264 6432 6500 6525 6700 6728 6750 6786 6960 6968 7020 7200 7236 7250 7368 7488 7540 7569 7675 7772 7800 7830 7839 7982 8000 8040 8289 8320 8352 8375 8410 8576 8640 8700 8710 8775 8903 9000 9045 9048 9210 9280 9360 9425 9600 9648 9715 9750 9824 10050 10092 10179 10400 10440 10452 10720 10800 10875 10933 11052 11136 11232 11310 11600 11658 11700 11973 12000 12060 12064 12280 12480 12528 12615 12864 13000 13050 13065 13400 13456 13500 13572 13815 13920 13936 14040 14400 14472 14500 14625 14736 14976 15075 15080 15138 15350 15544 15600 15660 15678 15964 16000 16080 16578 16704 16750 16820 16965 17280 17400 17420 17487 17550 17806 18000 18090 18096 18420 18560 18720 18850 19296 19430 19500 19575 19648 19955 20100 20184 20358 20569 20800 20880 20904 21025 21440 21600 21750 21775 21866 22104 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289995638400 298918581120 303589183950 311373522000 316444752000 323828462880 334994961600 337321315500 359809403200 362494548000 372216624000 373648226400 388594155456 404785578600 415164696000 418743702000 431771283840 449761754000 467060283000 483326064000 485742694320 498197635200 505981973250 539714104800 558324936000 607178367900 622747044000 647656925760 669989923200 674642631000 719618806400 724989096000 747296452800 758972959875 777188310912 809571157200 830329392000 837487404000 899523508000 934120566000 971485388640 1011963946500 1079428209600 1116649872000 1214356735800 1245494088000 1295313851520 1349285262000 1449978192000 1494592905600 1517945919750 1619142314400 1674974808000 1799047016000 1868241132000 1942970777280 2023927893000 2158856419200 2428713471600 2490988176000 2698570524000 3035891839500 3238284628800 3349949616000 3598094032000 3736482264000 3885941554560 4047855786000 4857426943200 5397141048000 6071783679000 6476569257600 7472964528000 8095711572000 9714853886400 10794282096000 12143567358000 16191423144000 19429707772800 24287134716000 32382846288000 48574269432000 97148538864000
- Sum of all divisors σ(n): 406378375603200
- Sum of proper divisors (its aliquot sum) s(n): 309229836739200
- 97148538864000 is an abundant number, because the sum of its proper divisors (309229836739200) is greater than itself. Its abundance is 212081297875200
Bases of 97148538864000
- Binary: 101100001011011001010000010011001000001100000002
- Hexadecimal: 0x585B28264180
- Base-36: YFPF7QLC0
Squares and roots of 97148538864000
- 97148538864000 squared (971485388640002) is 9437838603410118410496000000
- 97148538864000 cubed (971485388640003) is 916872230355547371332912561516544000000000
-
The
square root of 97148538864000 is 9856395.8353954109 -
The
cube root of 97148538864000 is 45970.4502820033
Scales and comparisons
How big is 97148538864000?- 97,148,538,864,000 seconds is equal to 3,089,023 years, 1 week, 6 days.
-
To count from 1 to 97,148,538,864,000 would take you about seven million, seven hundred twenty-two thousand, five hundred fifty-seven 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 97148538864000 cubic inches would be around 3830.9 feet tall.
Recreational maths with 97148538864000
- 97148538864000 backwards is 00046883584179
- The number of decimal digits it has is: 14
- The sum of 97148538864000's digits is 63
- More coming soon!
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The information we have on file for 97148538864000 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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