30149037670400
30,149,037,670,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 30149037670400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 720 divisors.
30149037670400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 30149037670400:
214 × 52 × 11 × 23 × 107 × 2719
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 23 × 107 × 2719)See below for interesting mathematical facts about the number 30149037670400 from the Numbermatics database.
Names of 30149037670400
- Cardinal: 30149037670400 can be written as Thirty trillion, one hundred forty-nine billion, thirty-seven million, six hundred seventy thousand, four hundred.
Scientific notation
- Scientific notation: 3.01490376704 × 1013
Factors of 30149037670400
Divisors of 30149037670400
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 23 25 32 40 44 46 50 55 64 80 88 92 100 107 110 115 128 160 176 184 200 214 220 230 253 256 275 320 352 368 400 428 440 460 506 512 535 550 575 640 704 736 800 856 880 920 1012 1024 1070 1100 1150 1177 1265 1280 1408 1472 1600 1712 1760 1840 2024 2048 2140 2200 2300 2354 2461 2530 2560 2675 2719 2816 2944 3200 3424 3520 3680 4048 4096 4280 4400 4600 4708 4922 5060 5120 5350 5438 5632 5885 5888 6325 6400 6848 7040 7360 8096 8192 8560 8800 9200 9416 9844 10120 10240 10700 10876 11264 11770 11776 12305 12650 12800 13595 13696 14080 14720 16192 16384 17120 17600 18400 18832 19688 20240 20480 21400 21752 22528 23540 23552 24610 25300 25600 27071 27190 27392 28160 29425 29440 29909 32384 34240 35200 36800 37664 39376 40480 40960 42800 43504 45056 47080 47104 49220 50600 51200 54142 54380 54784 56320 58850 58880 59818 61525 62537 64768 67975 68480 70400 73600 75328 78752 80960 81920 85600 87008 90112 94160 94208 98440 101200 102400 108284 108760 109568 112640 117700 117760 119636 123050 125074 129536 135355 135950 136960 140800 147200 149545 150656 157504 161920 171200 174016 180224 188320 188416 196880 202400 204800 216568 217520 219136 225280 235400 235520 239272 246100 250148 259072 270710 271900 273920 281600 290933 294400 299090 301312 312685 315008 323840 342400 348032 376640 376832 393760 404800 409600 433136 435040 438272 450560 470800 471040 478544 492200 500296 518144 541420 543800 547840 563200 581866 588800 598180 602624 625370 630016 647680 676775 684800 687907 696064 747725 753280 787520 809600 866272 870080 876544 901120 941600 942080 957088 984400 1000592 1036288 1082840 1087600 1095680 1126400 1163732 1177600 1196360 1205248 1250740 1260032 1295360 1353550 1369600 1375814 1392128 1454665 1495450 1506560 1563425 1575040 1619200 1732544 1740160 1753088 1883200 1884160 1914176 1968800 2001184 2072576 2165680 2175200 2191360 2252800 2327464 2355200 2392720 2410496 2501480 2520064 2590720 2707100 2739200 2751628 2784256 2909330 2990900 3013120 3126850 3150080 3200263 3238400 3439535 3465088 3480320 3766400 3828352 3937600 4002368 4145152 4331360 4350400 4382720 4505600 4654928 4710400 4785440 4820992 5002960 5040128 5181440 5414200 5478400 5503256 5568512 5818660 5981800 6026240 6253700 6300160 6400526 6476800 6691459 6879070 6930176 6960640 7273325 7532800 7656704 7875200 8004736 8662720 8700800 8765440 9309856 9420800 9570880 9641984 10005920 10080256 10362880 10828400 10956800 11006512 11137024 11637320 11963600 12052480 12507400 12600320 12801052 12953600 13382918 13758140 13860352 13921280 14546650 15065600 15313408 15750400 16001315 16009472 17197675 17325440 17401600 18619712 19141760 19283968 20011840 20160512 20725760 21656800 21913600 22013024 22274048 23274640 23927200 24104960 25014800 25200640 25602104 25907200 26765836 27516280 27720704 27842560 29093300 30131200 30626816 31500800 32002630 32018944 33457295 34395350 34650880 34803200 37239424 38283520 40023680 40321024 43313600 43827200 44026048 44548096 46549280 47854400 48209920 50029600 50401280 51204208 51814400 53531672 55032560 55441408 55685120 58186600 60262400 61253632 63001600 64005260 64037888 66914590 68790700 69301760 69606400 73606049 74478848 76567040 80006575 80047360 86627200 88052096 93098560 95708800 96419840 100059200 100802560 102408416 103628800 107063344 110065120 110882816 111370240 116373200 120524800 122507264 126003200 128010520 128075776 133829180 137581400 138603520 139212800 147212098 148957696 153134080 160013150 160094720 167286475 173254400 176104192 186197120 191417600 200118400 201605120 204816832 214126688 220130240 221765632 222740480 232746400 241049600 245014528 252006400 256021040 256151552 267658360 275162800 277207040 278425600 294424196 297915392 306268160 320026300 320189440 334572950 346508800 352208384 368030245 372394240 382835200 400236800 409633664 428253376 440260480 443531264 465492800 482099200 490029056 504012800 512042080 512303104 535316720 550325600 554414080 556851200 588848392 595830784 612536320 640052600 640378880 669145900 693017600 704416768 736060490 744788480 765670400 800473600 819267328 856506752 880520960 930985600 1008025600 1024084160 1024606208 1070633440 1100651200 1108828160 1113702400 1177696784 1191661568 1225072640 1280105200 1280757760 1338291800 1386035200 1408833536 1472120980 1489576960 1531340800 1600947200 1638534656 1713013504 1761041920 1840151225 1861971200 2048168320 2141266880 2201302400 2217656320 2355393568 2383323136 2450145280 2560210400 2561515520 2676583600 2772070400 2817667072 2944241960 2979153920 3062681600 3201894400 3277069312 3426027008 3522083840 3680302450 3723942400 4096336640 4282533760 4402604800 4710787136 4766646272 5120420800 5123031040 5353167200 5544140800 5635334144 5888483920 5958307840 6125363200 6403788800 6554138624 6852054016 7044167680 7360604900 7447884800 8192673280 8565067520 8805209600 9421574272 10240841600 10706334400 11088281600 11270668288 11776967840 11916615680 12250726400 12807577600 13108277248 13704108032 14088335360 14721209800 14895769600 16385346560 17130135040 17610419200 18843148544 20481683200 21412668800 23553935680 23833231360 25615155200 26216554496 27408216064 28176670720 29442419600 29791539200 32770693120 34260270080 35220838400 37686297088 40963366400 42825337600 47107871360 52433108992 54816432128 56353341440 58884839200 59583078400 65541386240 68520540160 70441676800 75372594176 81926732800 85650675200 94215742720 109632864256 117769678400 119166156800 131082772480 137041080320 140883353600 150745188352 163853465600 171301350400 188431485440 235539356800 262165544960 274082160640 281766707200 301490376704 327706931200 342602700800 376862970880 471078713600 548164321280 602980753408 655413862400 685205401600 753725941760 942157427200 1205961506816 1310827724800 1370410803200 1507451883520 1884314854400 2740821606400 3014903767040 3768629708800 6029807534080 7537259417600 15074518835200 30149037670400
- Sum of all divisors σ(n): 85937659637760
- Sum of proper divisors (its aliquot sum) s(n): 55788621967360
- 30149037670400 is an abundant number, because the sum of its proper divisors (55788621967360) is greater than itself. Its abundance is 25639584296960
Bases of 30149037670400
- Binary: 1101101101011100111101010111001000000000000002
- Hexadecimal: 0x1B6B9EAE4000
- Base-36: AOQ9YLQM8
Squares and roots of 30149037670400
- 30149037670400 squared (301490376704002) is 908964472451198259036160000
- 30149037670400 cubed (301490376704003) is 27404404120986439337300085035761664000000
-
The
square root of 30149037670400 is 5490813.9351465917 -
The
cube root of 30149037670400 is 31123.6950518501
Scales and comparisons
How big is 30149037670400?- 30,149,037,670,400 seconds is equal to 958,646 years, 7 weeks, 2 days, 6 hours, 13 minutes, 20 seconds.
-
To count from 1 to 30,149,037,670,400 would take you about two million, three hundred ninety-six thousand, six hundred fifteen 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 30149037670400 cubic inches would be around 2593.6 feet tall.
Recreational maths with 30149037670400
- 30149037670400 backwards is 00407673094103
- 30149037670400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 30149037670400's digits is 44
- More coming soon!
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