31220234144000
31,220,234,144,000 is an even composite number composed of five prime numbers multiplied together.
31220234144000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 31220234144000:
28 × 53 × 114 × 37 × 1801
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 11 × 11 × 11 × 37 × 1801)See below for interesting mathematical facts about the number 31220234144000 from the Numbermatics database.
Names of 31220234144000
- Cardinal: 31220234144000 can be written as Thirty-one trillion, two hundred twenty billion, two hundred thirty-four million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 3.1220234144 × 1013
Factors of 31220234144000
Divisors of 31220234144000
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 32 37 40 44 50 55 64 74 80 88 100 110 121 125 128 148 160 176 185 200 220 242 250 256 275 296 320 352 370 400 407 440 484 500 550 592 605 640 704 740 800 814 880 925 968 1000 1100 1184 1210 1280 1331 1375 1408 1480 1600 1628 1760 1801 1850 1936 2000 2035 2200 2368 2420 2662 2750 2816 2960 3025 3200 3256 3520 3602 3700 3872 4000 4070 4400 4477 4625 4736 4840 5324 5500 5920 6050 6400 6512 6655 7040 7204 7400 7744 8000 8140 8800 8954 9005 9250 9472 9680 10175 10648 11000 11840 12100 13024 13310 14080 14408 14641 14800 15125 15488 16000 16280 17600 17908 18010 18500 19360 19811 20350 21296 22000 22385 23680 24200 26048 26620 28816 29282 29600 30250 30976 32000 32560 33275 35200 35816 36020 37000 38720 39622 40700 42592 44000 44770 45025 47360 48400 49247 50875 52096 53240 57632 58564 59200 60500 65120 66550 66637 70400 71632 72040 73205 74000 77440 79244 81400 85184 88000 89540 90050 96800 98494 99055 101750 104192 106480 111925 115264 117128 118400 121000 130240 133100 133274 143264 144080 146410 148000 154880 158488 162800 166375 170368 176000 179080 180100 193600 196988 198110 203500 212960 217921 223850 225125 230528 234256 236800 242000 246235 260480 266200 266548 286528 288160 292820 296000 316976 325600 332750 333185 340736 352000 358160 360200 366025 387200 393976 396220 407000 425920 435842 447700 450250 461056 468512 484000 492470 495275 520960 532400 533096 541717 559625 573056 576320 585640 592000 633952 651200 665500 666370 716320 720400 732050 733007 774400 787952 792440 814000 851840 871684 895400 900500 937024 968000 984940 990550 1064800 1066192 1083434 1089605 1119250 1146112 1152640 1171280 1184000 1231175 1267904 1302400 1331000 1332740 1432640 1440800 1464100 1466014 1575904 1584880 1628000 1665925 1703680 1743368 1790800 1801000 1830125 1874048 1936000 1969880 1981100 2129600 2132384 2166868 2179210 2238500 2305280 2342560 2397131 2462350 2476375 2535808 2604800 2662000 2665480 2708585 2865280 2881600 2928200 2932028 3151808 3169760 3256000 3331850 3486736 3581600 3602000 3660250 3665035 3748096 3872000 3939760 3962200 4259200 4264768 4333736 4358420 4477000 4685120 4794262 4924700 4952750 5071616 5324000 5330960 5417170 5448025 5730560 5763200 5856400 5864056 6155875 6303616 6339520 6512000 6663700 6973472 7163200 7204000 7320500 7330070 7879520 7924400 8063077 8329625 8518400 8529536 8667472 8716840 8954000 9370240 9588524 9849400 9905500 10648000 10661920 10834340 10896050 11526400 11712800 11728112 11985655 12311750 12607232 12679040 13024000 13327400 13542925 13946944 14326400 14408000 14641000 14660140 15759040 15848800 16126154 16659250 17059072 17334944 17433680 17908000 18325175 18740480 19177048 19698800 19811000 21296000 21323840 21668680 21792100 23425600 23456224 23971310 24623500 25358080 26368441 26654800 27085850 27240125 27893888 28652800 28816000 29282000 29320280 31518080 31697600 32252308 33318500 34669888 34867360 35816000 36650350 38354096 39397600 39622000 40315385 42592000 42647680 43337360 43584200 46851200 46912448 47942620 49247000 52736882 53309600 54171700 54480250 55787776 57632000 58564000 58640560 59928275 63036160 63395200 64504616 66637000 67714625 69339776 69734720 71632000 73300700 76708192 78795200 79244000 80630770 85295360 86674720 87168400 88693847 91625875 93702400 93824896 95885240 98494000 105473764 106619200 108343400 108960500 117128000 117281120 119856550 126790400 129009232 131842205 133274000 135429250 138679552 139469440 143264000 146601400 153416384 157590400 158488000 161261540 173349440 174336800 177387694 183251750 187649792 191770480 196988000 201576925 210947528 213238400 216686800 217921000 234256000 234562240 239713100 258018464 263684410 266548000 270858500 278938880 293202800 299641375 306832768 315180800 316976000 322523080 346698880 348673600 354775388 366503500 383540960 393976000 403153850 421895056 426476800 433373600 435842000 443469235 468512000 469124480 479426200 516036928 527368820 533096000 541717000 586405600 599282750 613665536 633952000 645046160 659211025 693397760 697347200 709550776 733007000 767081920 787952000 806307700 843790112 866747200 871684000 886938470 938248960 958852400 975632317 1007884625 1032073856 1054737640 1066192000 1083434000 1172811200 1198565500 1290092320 1318422050 1394694400 1419101552 1466014000 1534163840 1575904000 1612615400 1687580224 1733494400 1743368000 1773876940 1917704800 1951264634 2015769250 2064147712 2109475280 2132384000 2166868000 2217346175 2345622400 2397131000 2580184640 2636844100 2838203104 2932028000 3068327680 3225230800 3296055125 3375160448 3466988800 3486736000 3547753880 3835409600 3902529268 4031538500 4218950560 4333736000 4434692350 4691244800 4794262000 4878161585 5160369280 5273688200 5676406208 5864056000 6450461600 6592110250 6750320896 6973472000 7095507760 7670819200 7805058536 8063077000 8437901120 8667472000 8869384700 9588524000 9756323170 10320738560 10547376400 11086730875 11352812416 11728112000 12900923200 13184220500 14191015520 15341638400 15610117072 16126154000 16875802240 17334944000 17738769400 19177048000 19512646340 21094752800 22173461750 22705624832 23456224000 24390807925 25801846400 26368441000 28382031040 31220234144 32252308000 33751604480 35477538800 38354096000 39025292680 42189505600 44346923500 48781615850 51603692800 52736882000 56764062080 62440468288 64504616000 70955077600 76708192000 78050585360 84379011200 88693847000 97563231700 105473764000 113528124160 121954039625 124880936576 129009232000 141910155200 156101170720 168758022400 177387694000 195126463400 210947528000 243908079250 249761873152 258018464000 283820310400 312202341440 354775388000 390252926800 421895056000 487816158500 567640620800 624404682880 709550776000 780505853600 843790112000 975632317000 1248809365760 1419101552000 1561011707200 1951264634000 2838203104000 3122023414400 3902529268000 6244046828800 7805058536000 15610117072000 31220234144000
- Sum of all divisors σ(n): 87911281501680
- Sum of proper divisors (its aliquot sum) s(n): 56691047357680
- 31220234144000 is an abundant number, because the sum of its proper divisors (56691047357680) is greater than itself. Its abundance is 25470813213680
Bases of 31220234144000
- Binary: 1110001100101000001101111011101001001000000002
- Hexadecimal: 0x1C6506F74900
- Base-36: B2EDLBRI8
Squares and roots of 31220234144000
- 31220234144000 squared (312202341440002) is 974703020006183412736000000
- 31220234144000 cubed (312202341440003) is 30430456505456962473426911657984000000000
-
The
square root of 31220234144000 is 5587506.9703759655 -
The
cube root of 31220234144000 is 31488.0223694985
Scales and comparisons
How big is 31220234144000?- 31,220,234,144,000 seconds is equal to 992,706 years, 45 weeks, 3 days, 14 hours, 13 minutes, 20 seconds.
-
To count from 1 to 31,220,234,144,000 would take you about two million, four hundred eighty-one thousand, seven hundred sixty-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 31220234144000 cubic inches would be around 2624 feet tall.
Recreational maths with 31220234144000
- 31220234144000 backwards is 00044143202213
- The number of decimal digits it has is: 14
- The sum of 31220234144000's digits is 26
- More coming soon!
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