146980790390016
146,980,790,390,016 is an even composite number composed of six prime numbers multiplied together.
What does the number 146980790390016 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
146980790390016 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 146980790390016:
28 × 37 × 11 × 23 × 892 × 131
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 23 × 89 × 89 × 131)See below for interesting mathematical facts about the number 146980790390016 from the Numbermatics database.
Names of 146980790390016
- Cardinal: 146980790390016 can be written as One hundred forty-six trillion, nine hundred eighty billion, seven hundred ninety million, three hundred ninety thousand and sixteen.
Scientific notation
- Scientific notation: 1.46980790390016 × 1014
Factors of 146980790390016
Divisors of 146980790390016
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 23 24 27 32 33 36 44 46 48 54 64 66 69 72 81 88 89 92 96 99 108 128 131 132 138 144 162 176 178 184 192 198 207 216 243 253 256 262 264 267 276 288 297 324 352 356 368 384 393 396 414 432 486 506 524 528 534 552 576 594 621 648 704 712 729 736 759 768 786 792 801 828 864 891 972 979 1012 1048 1056 1068 1104 1152 1179 1188 1242 1296 1408 1424 1441 1458 1472 1518 1572 1584 1602 1656 1728 1782 1863 1944 1958 2024 2047 2096 2112 2136 2187 2208 2277 2304 2358 2376 2403 2484 2592 2673 2816 2848 2882 2916 2937 2944 3013 3036 3144 3168 3204 3312 3456 3537 3564 3726 3888 3916 4048 4094 4192 4224 4272 4323 4374 4416 4554 4716 4752 4806 4968 5184 5346 5589 5696 5764 5832 5874 5888 6026 6072 6141 6288 6336 6408 6624 6831 6912 7074 7128 7209 7452 7776 7832 7921 8019 8096 8188 8384 8448 8544 8646 8748 8811 8832 9039 9108 9432 9504 9612 9936 10368 10611 10692 11178 11392 11528 11659 11664 11748 12052 12144 12282 12576 12672 12816 12969 13248 13662 14148 14256 14418 14904 15552 15664 15842 16038 16192 16376 16767 16768 17088 17292 17496 17622 17664 18078 18216 18423 18864 19008 19224 19872 20493 20736 21222 21384 21627 22356 22517 22784 23056 23318 23328 23496 23763 24057 24104 24288 24564 25152 25344 25632 25938 26433 26496 27117 27324 28296 28512 28836 29808 31104 31328 31684 31833 32076 32384 32752 33143 33534 33536 34176 34584 34977 34992 35244 36156 36432 36846 37728 38016 38448 38907 39744 40986 42444 42768 43254 44712 45034 46112 46636 46656 46992 47526 48114 48208 48576 49128 50301 50304 51264 51876 52866 52992 54234 54648 55269 56592 57024 57672 59616 61479 62208 62656 63368 63666 64152 64768 64881 65504 66286 67068 67551 68352 69168 69954 69984 70488 71289 72312 72864 73692 75456 76032 76896 77814 79299 79488 81351 81972 84888 85536 86508 87131 89424 90068 92224 93272 93312 93984 95052 95499 96228 96416 97152 98256 99429 100602 100608 102528 103752 104931 105732 108468 109296 110538 113184 114048 115344 116721 119232 122958 125312 126736 127332 128249 128304 129762 131008 132572 134136 135102 138336 139908 139968 140976 142578 144624 145728 147384 150912 153792 155628 158598 158976 162702 163944 165807 169776 171072 173016 174262 178848 180136 182183 184437 184448 186544 186624 187968 190104 190998 192456 192832 194304 194643 196512 198858 201204 202653 205056 207504 209862 211464 213867 216936 218592 221076 226368 228096 230688 233442 237897 238464 244053 245916 250624 253472 254664 256498 256608 259524 261393 262016 265144 268157 268272 270204 276672 279816 279936 281952 285156 286497 289248 291456 294768 298287 301824 307584 311256 314793 317196 325404 327888 331614 339552 342144 346032 348524 350163 357696 360272 364366 368874 368896 373088 375936 380208 381996 384747 384912 385664 389286 393024 397716 402408 405306 415008 419724 422928 427734 433872 437184 442152 452736 461376 466884 475794 476928 488106 491832 497421 506944 509328 512996 513216 519048 522786 524032 530288 536314 536544 540408 546549 553311 553344 559632 559872 563904 570312 572994 578496 582912 589536 596574 607959 615168 622512 629586 634392 641601 650808 655776 663228 679104 684288 692064 697048 700326 713691 715392 720544 728732 732159 737748 746176 751872 760416 763992 769494 769824 771328 778572 784179 786048 795432 804471 804816 810612 830016 839448 845856 855468 867744 874368 884304 894861 905472 922752 933768 944379 951588 976212 983664 994842 1013888 1018656 1025992 1026432 1037651 1038096 1045572 1050489 1060576 1072628 1073088 1080816 1093098 1106622 1106688 1119264 1127808 1140624 1145988 1154241 1156992 1179072 1193148 1215918 1245024 1259172 1268784 1283202 1301616 1311552 1326456 1358208 1384128 1394096 1400652 1427382 1430784 1441088 1457464 1464318 1475496 1492263 1492352 1520832 1527984 1538988 1539648 1557144 1568358 1572096 1590864 1608942 1609632 1621224 1639647 1660032 1678896 1691712 1710936 1735488 1748736 1768608 1789722 1823877 1845504 1867536 1888758 1903176 1924803 1952424 1967328 1989684 2004013 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41555213568 42529163886 44378257968 45874154304 46395451512 46749615264 48412645056 48782207232 49925540214 50044531968 50404934976 50999580288 51608423592 52194882951 54987201792 56705551848 59171010624 61165539072 61860602016 62332820352 63793745829 64550193408 66567386952 67206579968 68811231456 69593177268 70124422896 71803024128 72618967584 75066797952 75607402464 78894680832 82480802688 85058327772 88756515936 91748308608 92790903024 93499230528 96825290112 99851080428 100809869952 101999160576 103216847184 104389765902 113411103696 118342021248 123721204032 124665640704 127587491658 133134773904 137622462912 139186354536 140248845792 145237935168 150133595904 151214804928 164961605376 170116655544 177513031872 183496617216 185581806048 186998461056 191381237487 193650580224 199702160856 201619739904 206433694368 208779531804 226822207392 236684042496 247442408064 255174983316 266269547808 275244925824 278372709072 280497691584 290475870336 302429609856 340233311088 355026063744 371163612096 373996922112 382762474974 399404321712 412867388736 417559063608 453644414784 494884816128 510349966632 532539095616 550489851648 556745418144 560995383168 574143712461 580951740672 604859219712 680466622176 710052127488 742327224192 765524949948 798808643424 825734777472 835118127216 907288829568 1020699933264 1065078191232 1113490836288 1121990766336 1148287424922 1360933244352 1484654448384 1531049899896 1597617286848 1651469554944 1670236254432 1814577659136 2041399866528 2130156382464 2226981672576 2296574849844 2721866488704 3062099799792 3195234573696 3340472508864 4082799733056 4453963345152 4593149699688 5443732977408 6124199599584 6390469147392 6680945017728 8165599466112 9186299399376 12248399199168 13361890035456 16331198932224 18372598798752 24496798398336 36745197597504 48993596796672 73490395195008 146980790390016
- Sum of all divisors σ(n): 510443754670080
- Sum of proper divisors (its aliquot sum) s(n): 363462964280064
- 146980790390016 is an abundant number, because the sum of its proper divisors (363462964280064) is greater than itself. Its abundance is 216482173890048
Bases of 146980790390016
- Binary: 1000010110101101101000011100110011001101000000002
- Hexadecimal: 0x85ADA1CCCD00
- Base-36: 1G3M1JO000
Squares and roots of 146980790390016
- 146980790390016 squared (1469807903900162) is 21603352743673819737392480256
- 146980790390016 cubed (1469807903900163) is 3175277861339498750996227766785147819524096
-
The
square root of 146980790390016 is 12123563.4361360933 -
The
cube root of 146980790390016 is 52774.0218842457
Scales and comparisons
How big is 146980790390016?- 146,980,790,390,016 seconds is equal to 4,673,534 years, 25 weeks, 4 days, 10 hours, 33 minutes, 36 seconds.
-
To count from 1 to 146,980,790,390,016 would take you about eleven million, six hundred eighty-three thousand, eight hundred thirty-six 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 146980790390016 cubic inches would be around 4397.8 feet tall.
Recreational maths with 146980790390016
- 146980790390016 backwards is 610093097089641
- The number of decimal digits it has is: 15
- The sum of 146980790390016's digits is 63
- More coming soon!
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"Number 146980790390016 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
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Numbermatics. (2024). Number 146980790390016 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/146980790390016/
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The information we have on file for 146980790390016 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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