468813968896000
468,813,968,896,000 is an even composite number composed of seven prime numbers multiplied together.
468813968896000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, four hundred ninety-six divisors.
Prime factorization of 468813968896000:
212 × 53 × 7 × 13 × 172 × 37 × 941
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 13 × 17 × 17 × 37 × 941)See below for interesting mathematical facts about the number 468813968896000 from the Numbermatics database.
Names of 468813968896000
- Cardinal: 468813968896000 can be written as Four hundred sixty-eight trillion, eight hundred thirteen billion, nine hundred sixty-eight million, eight hundred ninety-six thousand.
Scientific notation
- Scientific notation: 4.68813968896 × 1014
Factors of 468813968896000
Divisors of 468813968896000
- Number of divisors d(n): 2496
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 17 20 25 26 28 32 34 35 37 40 50 52 56 64 65 68 70 74 80 85 91 100 104 112 119 125 128 130 136 140 148 160 170 175 182 185 200 208 221 224 238 250 256 259 260 272 280 289 296 320 325 340 350 364 370 400 416 425 442 448 455 476 481 500 512 518 520 544 560 578 592 595 629 640 650 680 700 728 740 800 832 850 875 884 896 910 925 941 952 962 1000 1024 1036 1040 1088 1105 1120 1156 1184 1190 1258 1280 1295 1300 1360 1400 1445 1456 1480 1547 1600 1625 1664 1700 1750 1768 1792 1820 1850 1882 1904 1924 2000 2023 2048 2072 2080 2125 2176 2210 2240 2275 2312 2368 2380 2405 2516 2560 2590 2600 2720 2800 2890 2912 2960 2975 3094 3145 3200 3250 3328 3367 3400 3500 3536 3584 3640 3700 3757 3764 3808 3848 4000 4046 4096 4144 4160 4250 4352 4403 4420 4480 4550 4624 4625 4705 4736 4760 4810 5032 5120 5180 5200 5440 5525 5600 5780 5824 5920 5950 6188 6290 6400 6475 6500 6587 6656 6734 6800 7000 7072 7168 7225 7280 7400 7514 7528 7616 7696 7735 8000 8092 8177 8288 8320 8500 8704 8806 8840 8960 9100 9248 9250 9410 9472 9520 9620 10064 10115 10240 10360 10400 10693 10880 11050 11200 11375 11560 11648 11840 11900 12025 12233 12376 12580 12800 12950 13000 13174 13312 13468 13600 14000 14144 14336 14450 14560 14800 14875 15028 15056 15232 15392 15470 15725 15997 16000 16184 16354 16576 16640 16835 17000 17408 17612 17680 17920 18200 18496 18500 18785 18820 18944 19040 19240 20128 20230 20480 20720 20800 21386 21760 22015 22100 22400 22750 23120 23296 23525 23680 23800 24050 24466 24752 25160 25600 25900 26000 26299 26348 26624 26936 27200 27625 28000 28288 28672 28900 29120 29600 29750 30056 30112 30464 30784 30940 31450 31994 32000 32368 32375 32708 32935 33152 33280 33670 34000 34816 34817 35224 35360 35840 36125 36400 36992 37000 37570 37640 37888 38080 38480 38675 40256 40460 40885 41440 41600 42772 43520 44030 44200 44800 45500 46240 46592 47050 47360 47600 48100 48932 49504 50320 50575 51200 51800 52000 52598 52696 53248 53465 53872 54400 55250 56000 56576 57239 57800 58240 59200 59500 60112 60125 60224 60928 61165 61568 61880 62900 63988 64000 64736 64750 65416 65870 66304 66560 67340 68000 69632 69634 70448 70720 71680 72250 72800 73984 74000 74851 75140 75280 75776 76160 76960 77350 78625 79985 80512 80920 81770 82880 83200 84175 85544 85631 87040 88060 88400 89600 91000 92480 93184 93925 94100 94720 95200 96200 97864 99008 100640 101150 102400 103600 104000 105196 105392 106930 107744 108800 110075 110500 111979 112000 113152 114478 115600 116480 117625 118400 119000 120224 120250 120448 121856 122330 123136 123760 125800 127976 128000 129472 129500 130832 131495 131740 132608 133120 134680 136000 139009 139268 140896 141440 143360 144500 145600 147968 148000 149702 150280 150560 151552 152320 153920 154700 157250 159970 161024 161840 163540 164675 165760 166400 168350 171088 171262 174080 174085 176120 176800 179200 182000 184960 186368 187850 188200 189440 190400 192400 193375 195728 198016 201280 202300 204425 207200 207961 208000 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162219366400 167433560320 172358076800 180313064960 181009254400 183130456600 186333056000 194933043200 196980659200 197978872000 202774208000 206072074240 209291950400 212133017600 215447596000 220618338304 225391331200 226261568000 228913070750 231741952000 234406984448 243666304000 246225824000 249104128000 253412956160 257590092800 261614938000 265166272000 267893696512 275772922880 281739164000 288500903936 293008730560 303047168000 316766195200 321987616000 324438732800 334867120640 344716153600 360626129920 362018508800 366260913200 372666112000 393961318400 395957744000 405548416000 418583900800 424266035200 430895192000 450782662400 452523136000 457826141500 468813968896 487332608000 492451648000 498208256000 506825912320 515180185600 523229876000 530332544000 535787393024 551545845760 563478328000 586017461120 633532390400 643975232000 669734241280 689432307200 721252259840 732521826400 745332224000 787922636800 791915488000 811096832000 837167801600 861790384000 901565324800 905046272000 915652283000 937627937792 974665216000 984903296000 1030360371200 1046459752000 1060665088000 1103091691520 1126956656000 1172034922240 1267064780800 1287950464000 1339468482560 1378864614400 1442504519680 1465043652800 1583830976000 1622193664000 1674335603200 1723580768000 1803130649600 1810092544000 1831304566000 1875255875584 1969806592000 2092919504000 2121330176000 2253913312000 2344069844480 2534129561600 2575900928000 2678936965120 2757729228800 2930087305600 3167661952000 3348671206400 3447161536000 3606261299200 3662609132000 3750511751168 3939613184000 4185839008000 4507826624000 4688139688960 5151801856000 5515458457600 5860174611200 6335323904000 6697342412800 6894323072000 7212522598400 7325218264000 8371678016000 9015653248000 9376279377920 11720349222400 12670647808000 13394684825600 13788646144000 14650436528000 16743356032000 18031306496000 18752558755840 23440698444800 27577292288000 29300873056000 33486712064000 36062612992000 46881396889600 58601746112000 66973424128000 93762793779200 117203492224000 234406984448000 468813968896000
- Sum of all divisors σ(n): 1572723665420544
- Sum of proper divisors (its aliquot sum) s(n): 1103909696524544
- 468813968896000 is an abundant number, because the sum of its proper divisors (1103909696524544) is greater than itself. Its abundance is 635095727628544
Bases of 468813968896000
- Binary: 11010101001100010010000100001010011110000000000002
- Hexadecimal: 0x1AA624214F000
- Base-36: 4M6I5WNUV4
Squares and roots of 468813968896000
- 468813968896000 squared (4688139688960002) is 219786537432019655458816000000
- 468813968896000 cubed (4688139688960003) is 103038998923414402468730000832987136000000000
-
The
square root of 468813968896000 is 21652112.3425868083 -
The
cube root of 468813968896000 is 77684.3461100381
Scales and comparisons
How big is 468813968896000?- 468,813,968,896,000 seconds is equal to 14,906,834 years, 3 weeks, 5 days, 23 hours, 6 minutes, 40 seconds.
-
To count from 1 to 468,813,968,896,000 would take you about thirty-seven million, two hundred sixty-seven thousand and eighty-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 468813968896000 cubic inches would be around 6473.7 feet tall.
Recreational maths with 468813968896000
- 468813968896000 backwards is 000698869318864
- The number of decimal digits it has is: 15
- The sum of 468813968896000's digits is 76
- More coming soon!
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The information we have on file for 468813968896000 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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