31427424906240
31,427,424,906,240 is an even composite number composed of seven prime numbers multiplied together.
31427424906240 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred four divisors.
Prime factorization of 31427424906240:
210 × 3 × 5 × 11 × 113 × 331 × 4973
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 113 × 331 × 4973)See below for interesting mathematical facts about the number 31427424906240 from the Numbermatics database.
Names of 31427424906240
- Cardinal: 31427424906240 can be written as Thirty-one trillion, four hundred twenty-seven billion, four hundred twenty-four million, nine hundred six thousand, two hundred forty.
Scientific notation
- Scientific notation: 3.142742490624 × 1013
Factors of 31427424906240
Divisors of 31427424906240
- Number of divisors d(n): 704
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 113 120 128 132 160 165 176 192 220 226 240 256 264 320 330 331 339 352 384 440 452 480 512 528 565 640 660 662 678 704 768 880 904 960 993 1024 1056 1130 1243 1280 1320 1324 1356 1408 1536 1655 1695 1760 1808 1920 1986 2112 2260 2486 2560 2640 2648 2712 2816 3072 3310 3390 3520 3616 3641 3729 3840 3972 4224 4520 4965 4972 4973 5120 5280 5296 5424 5632 6215 6620 6780 7040 7232 7282 7458 7680 7944 8448 9040 9930 9944 9946 10560 10592 10848 10923 11264 12430 13240 13560 14080 14464 14564 14916 14919 15360 15888 16896 18080 18205 18645 19860 19888 19892 21120 21184 21696 21846 24860 24865 26480 27120 28160 28928 29128 29832 29838 31776 33792 36160 36410 37290 37403 39720 39776 39784 42240 42368 43392 43692 49720 49730 52960 54240 54615 54703 56320 57856 58256 59664 59676 63552 72320 72820 74580 74595 74806 79440 79552 79568 84480 84736 86784 87384 99440 99460 105920 108480 109230 109406 112209 115712 116512 119328 119352 127104 144640 145640 149160 149190 149612 158880 159104 159136 164109 168960 169472 173568 174768 187015 198880 198920 211840 216960 218460 218812 224418 233024 238656 238704 254208 273515 289280 291280 298320 298380 299224 317760 318208 318272 328218 338944 347136 349536 374030 397760 397840 411433 423680 433920 436920 437624 448836 466048 477312 477408 508416 547030 561045 561949 578560 582560 596640 596760 598448 635520 636416 636544 656436 699072 748060 795520 795680 820545 822866 847360 867840 873840 875248 897672 932096 954624 954816 1016832 1094060 1122090 1123898 1165120 1193280 1193520 1196896 1234299 1271040 1272832 1273088 1312872 1398144 1496120 1591040 1591360 1641090 1645732 1646063 1685847 1694720 1735680 1747680 1750496 1795344 1864192 1909248 1909632 2057165 2188120 2244180 2247796 2330240 2386560 2387040 2393792 2468598 2542080 2546176 2625744 2796288 2809745 2992240 3182080 3182720 3282180 3291464 3292126 3371694 3495360 3500992 3590688 3728384 3818496 3819264 4114330 4376240 4488360 4495592 4660480 4773120 4774080 4787584 4937196 4938189 5084160 5092352 5251488 5592576 5619490 5984480 6171495 6181439 6364160 6365440 6564360 6582928 6584252 6743388 6990720 7001984 7181376 7638528 8228660 8230315 8429235 8752480 8976720 8991184 9320960 9546240 9548160 9575168 9874392 9876378 10502976 11185152 11238980 11968960 12342990 12362878 12730880 13128720 13165856 13168504 13486776 13981440 14003968 14362752 15277056 16457320 16460630 16858470 17504960 17953440 17982368 18106693 18544317 18641920 19092480 19096320 19150336 19748784 19752756 21005952 22477960 23937920 24685980 24690945 24725756 25461760 26257440 26331712 26337008 26973552 27962880 28007936 28725504 30907195 32914640 32921260 33716940 35009920 35906880 35964736 36213386 37088634 38192640 38300672 39497568 39505512 42011904 44955920 47875840 49371960 49381890 49451512 52514880 52663424 52674016 53947104 54320079 55925760 56015872 57451008 61814390 65829280 65842520 67433880 70019840 71813760 71929472 72426772 74177268 76385280 78995136 79011024 84023808 89911840 90533465 92721585 95751680 98743920 98763780 98903024 105029760 105326848 105348032 107894208 108640158 114902016 123628780 131658560 131685040 134867760 140039680 143627520 143858944 144853544 148354536 157990272 158022048 168047616 179823680 181066930 185443170 186005119 191503360 197487840 197527560 197806048 210059520 210653696 210696064 215788416 217280316 247257560 263317120 263370080 269735520 271600395 280079360 287255040 287717888 289707088 296709072 315980544 316044096 359647360 362133860 370886340 372010238 394975680 395055120 395612096 420119040 421307392 421392128 431576832 434560632 494515120 526634240 526740160 539471040 543200790 558015357 574510080 575435776 579414176 593418144 631961088 632088192 719294720 724267720 741772680 744020476 789951360 790110240 791224192 840238080 842784256 863153664 869121264 930025595 989030240 1053268480 1053480320 1078942080 1086401580 1116030714 1158828352 1186836288 1263922176 1264176384 1438589440 1448535440 1483545360 1488040952 1579902720 1580220480 1582448384 1685568512 1726307328 1738242528 1860051190 1978060480 2046056309 2106536960 2106960640 2157884160 2172803160 2232061428 2317656704 2373672576 2528352768 2790076785 2877178880 2897070880 2967090720 2976081904 3159805440 3160440960 3164896768 3476485056 3720102380 3956120960 4092112618 4213921280 4315768320 4345606320 4464122856 4635313408 4747345152 5056705536 5580153570 5794141760 5934181440 5952163808 6138168927 6319610880 6320881920 6329793536 6952970112 7440204760 7912241920 8184225236 8427842560 8631536640 8691212640 8928245712 9270626816 9494690304 10230281545 11160307140 11588283520 11868362880 11904327616 12276337854 12641763840 13905940224 14880409520 15824483840 16368450472 17382425280 17856491424 18541253632 18989380608 20460563090 22320614280 23176567040 23736725760 23808655232 24552675708 25283527680 27811880448 29760819040 30690844635 31648967680 32736900944 34764850560 35712982848 40921126180 44641228560 46353134080 47473451520 47617310464 49105351416 55623760896 59521638080 61381689270 65473801888 69529701120 71425965696 81842252360 89282457120 92706268160 94946903040 95234620928 98210702832 119043276160 122763378540 130947603776 139059402240 142851931392 163684504720 178564914240 190469241856 196421405664 238086552320 245526757080 261895207552 278118804480 285703862784 327369009440 357129828480 392842811328 476173104640 491053514160 523790415104 571407725568 654738018880 714259656960 785685622656 952346209280 982107028320 1047580830208 1309476037760 1428519313920 1571371245312 1964214056640 2095161660416 2618952075520 2857038627840 3142742490624 3928428113280 5237904151040 6285484981248 7856856226560 10475808302080 15713712453120 31427424906240
- Sum of all divisors σ(n): 110983660918272
- Sum of proper divisors (its aliquot sum) s(n): 79556236012032
- 31427424906240 is an abundant number, because the sum of its proper divisors (79556236012032) is greater than itself. Its abundance is 48128811105792
Bases of 31427424906240
- Binary: 1110010010101010001000111111101101100000000002
- Hexadecimal: 0x1C95447F6C00
- Base-36: B51K5CUTC
Squares and roots of 31427424906240
- 31427424906240 squared (314274249062402) is 987683036237354272790937600
- 31427424906240 cubed (314274249062403) is 31040334452516572128952395486801690624000
-
The
square root of 31427424906240 is 5606016.8485512065 -
The
cube root of 31427424906240 is 31557.5248191747
Scales and comparisons
How big is 31427424906240?- 31,427,424,906,240 seconds is equal to 999,294 years, 46 weeks, 5 days, 19 hours, 44 minutes.
-
To count from 1 to 31,427,424,906,240 would take you about two million, four hundred ninety-eight thousand, two hundred thirty-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 31427424906240 cubic inches would be around 2629.8 feet tall.
Recreational maths with 31427424906240
- 31427424906240 backwards is 04260942472413
- 31427424906240 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 31427424906240's digits is 48
- More coming soon!
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