30790742136614400
30,790,742,136,614,400 is an even composite number composed of eight prime numbers multiplied together.
What does the number 30790742136614400 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1920 divisors.
30790742136614400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 30790742136614400:
29 × 3 × 52 × 17 × 31 × 73 × 103 × 202357
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 17 × 31 × 73 × 103 × 202357)See below for interesting mathematical facts about the number 30790742136614400 from the Numbermatics database.
Names of 30790742136614400
- Cardinal: 30790742136614400 can be written as Thirty quadrillion, seven hundred ninety trillion, seven hundred forty-two billion, one hundred thirty-six million, six hundred fourteen thousand, four hundred.
Scientific notation
- Scientific notation: 3.07907421366144 × 1016
Factors of 30790742136614400
Divisors of 30790742136614400
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 31 32 34 40 48 50 51 60 62 64 68 73 75 80 85 93 96 100 102 103 120 124 128 136 146 150 155 160 170 186 192 200 204 206 219 240 248 255 256 272 292 300 309 310 320 340 365 372 384 400 408 412 425 438 465 480 496 510 512 515 527 544 584 600 618 620 640 680 730 744 768 775 800 816 824 850 876 930 960 992 1020 1030 1054 1088 1095 1168 1200 1236 1240 1241 1275 1280 1360 1460 1488 1536 1545 1550 1581 1600 1632 1648 1700 1751 1752 1825 1860 1920 1984 2040 2060 2108 2176 2190 2263 2325 2336 2400 2472 2480 2482 2550 2560 2575 2635 2720 2920 2976 3090 3100 3162 3193 3200 3264 3296 3400 3502 3504 3650 3720 3723 3840 3968 4080 4120 4216 4352 4380 4526 4650 4672 4800 4944 4960 4964 5100 5150 5253 5270 5440 5475 5840 5952 6180 6200 6205 6324 6386 6400 6528 6592 6789 6800 7004 7008 7300 7440 7446 7519 7680 7725 7905 7936 8160 8240 8432 8704 8755 8760 9052 9300 9344 9579 9600 9888 9920 9928 10200 10300 10506 10540 10880 10950 11315 11680 11904 12360 12400 12410 12648 12772 12800 13056 13175 13184 13578 13600 14008 14016 14600 14880 14892 15038 15450 15810 15872 15965 16320 16480 16864 17510 17520 18104 18600 18615 18688 19158 19200 19776 19840 19856 20400 20600 21012 21080 21760 21900 22557 22630 23360 23808 24720 24800 24820 25296 25544 26112 26265 26350 26368 27156 27200 28016 28032 29200 29760 29784 30076 30900 31025 31620 31930 32640 32960 33728 33945 35020 35040 36208 37200 37230 37376 37595 38316 38400 38471 39525 39552 39680 39712 40800 41200 42024 42160 43520 43775 43800 45114 45260 46720 47616 47895 49440 49600 49640 50592 51088 52530 52700 52736 54281 54312 54400 56032 56064 56575 58400 59520 59568 60152 61800 62050 63240 63860 65280 65920 67456 67890 70040 70080 72416 74400 74460 75190 76632 76942 79050 79104 79360 79424 79825 81600 82400 84048 84320 87550 87600 90228 90520 93075 93440 95790 98880 99200 99280 101184 102176 105060 105400 108562 108624 108800 112064 112128 112785 113150 115413 116800 119040 119136 120304 123600 124100 126480 127720 127823 130560 131325 131840 134912 135780 140080 140160 144832 148800 148920 150380 153264 153884 158100 158208 158848 159650 162843 163200 164800 168096 168640 169725 175100 175200 180456 181040 186150 186880 187975 191580 192355 197760 198400 198560 202357 202368 204352 210120 210800 217124 217248 217600 224128 225570 226300 230826 233089 233600 238080 238272 239475 240608 247200 248200 252960 255440 255646 262650 263680 269824 271405 271560 280160 280320 289664 297600 297840 300760 306528 307768 316200 317696 319300 325686 326400 329600 336192 337280 339450 350200 350400 360912 362080 372300 375950 383160 383469 384710 395520 396800 397120 404714 404736 408704 420240 421600 434248 434496 448256 451140 452600 461652 466178 467200 476544 478950 481216 494400 496400 505920 510880 511292 525300 542810 543120 560320 560640 563925 577065 579328 595200 595680 601520 607071 613056 615536 632400 635392 638600 639115 651372 652800 659200 672384 674560 678900 699267 700400 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1647621047550 1654082306560 1655416243904 1700770113600 1757462450720 1758466141440 1825826739600 1868370275280 1886687630920 1928640284160 1939940910825 1947548522240 1992928293632 2047529068800 2067602883200 2069270304880 2108954940864 2196828063400 2198082676800 2264025157104 2267693484800 2335462844100 2337058226688 2358359538650 2405526729423 2410800355200 2434435652800 2481123459840 2483124365856 2491160367040 2586587881100 2636193676080 2721232181760 2811939921152 2830031446380 2921322783360 2930776902400 2989392440448 3018700209472 3101404324800 3103905457320 3113950458800 3207368972564 3214400473600 3295242095100 3310832487808 3401540227200 3514924901440 3516932282880 3537539307975 3651653479200 3736740550560 3773375261840 3879881821650 3895097044480 3985856587264 4009211215705 4095058137600 4135205766400 4138540609760 4217909881728 4393656126800 4396165353600 4528050314208 4535386969600 4670925688200 4716719077300 4811053458846 4821600710400 4868871305600 4962246919680 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20046056078525 20692703048800 21089549408640 22640251571040 24055267294230 24149601675776 24811234598400 24831243658560 24911603670400 25658951780512 26361936760800 28119399211520 28300314463800 29213227833600 29893924404480 30187002094720 31039054573200 32073689725640 33108324878080 35149249014400 36224402513664 37367405505600 37733752618400 38488427670768 39729989853696 40092112157050 41385406097600 42179098817280 45280503142080 48110534588460 49662487317120 49823207340800 51317903561024 52723873521600 56600628927600 58426455667200 59787848808960 60138168235575 60374004189440 62078109146400 64147379451280 66216649756160 70298498028800 72448805027328 74734811011200 75467505236800 76976855341536 80184224314100 82770812195200 84358197634560 90561006284160 96221069176920 99324974634240 99646414681600 102635807122048 105447747043200 113201257855200 120276336471150 120748008378880 124156218292800 128294758902560 140596996057600 149469622022400 150935010473600 153953710683072 160368448628200 165541624390400 181122012568320 192442138353840 198649949268480 205271614244096 210895494086400 226402515710400 240552672942300 248312436585600 256589517805120 298939244044800 301870020947200 307907421366144 320736897256400 331083248780800 362244025136640 384884276707680 410543228488192 421790988172800 452805031420800 481105345884600 496624873171200 513179035610240 603740041894400 615814842732288 641473794512800 769768553415360 905610062841600 962210691769200 993249746342400 1026358071220480 1231629685464576 1282947589025600 1539537106830720 1811220125683200 1924421383538400 2052716142440960 2565895178051200 3079074213661440 3848842767076800 5131790356102400 6158148427322880 7697685534153600 10263580712204800 15395371068307200 30790742136614400
- Sum of all divisors σ(n): 113790299302158336
- Sum of proper divisors (its aliquot sum) s(n): 82999557165543936
- 30790742136614400 is an abundant number, because the sum of its proper divisors (82999557165543936) is greater than itself. Its abundance is 52208815028929536
Bases of 30790742136614400
- Binary: 11011010110010000000100010011110110110001101110000000002
- Hexadecimal: 0x6D64044F6C6E00
- Base-36: 8F6ENNUQJ9C
Squares and roots of 30790742136614400
- 30790742136614400 squared (307907421366144002) is 948069801323481506433094287360000
- 30790742136614400 cubed (307907421366144003) is 29191772780062564672279378376228937331113984000000
-
The
square root of 30790742136614400 is 175472909.9793309975 -
The
cube root of 30790742136614400 is 313429.6315963377
Scales and comparisons
How big is 30790742136614400?- 30,790,742,136,614,400 seconds is equal to 979,050,357 years, 48 weeks, 21 hours, 20 minutes.
-
To count from 1 to 30,790,742,136,614,400 would take you about two billion, nine hundred thirty-seven million, one hundred fifty-one thousand and seventy-three 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 30790742136614400 cubic inches would be around 26119.1 feet tall.
Recreational maths with 30790742136614400
- 30790742136614400 backwards is 00441663124709703
- The number of decimal digits it has is: 17
- The sum of 30790742136614400's digits is 57
- More coming soon!
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The information we have on file for 30790742136614400 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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