146021174820864

Names of 146021174820864

• Cardinal: 146021174820864 can be written as One hundred forty-six trillion, twenty-one billion, one hundred seventy-four million, eight hundred twenty thousand, eight hundred sixty-four.

Scientific notation

• Scientific notation: 1.46021174820864 × 10¹⁴

Factors of 146021174820864

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 26
• Sum of prime factors: 121

Divisors of 146021174820864

• Number of divisors d(n): 1440
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 81 84 96 98 108 109 112 126 128 144 147 162 168 189 192 196 216 218 224 243 252 256 288 294 324 327 336 343 378 384 392 432 436 441 448 486 504 512 567 576 588 648 654 672 686 729 756 763 768 784 864 872 882 896 972 981 1008 1024 1029 1134 1152 1176 1296 1308 1323 1344 1372 1458 1512 1526 1536 1568 1701 1728 1744 1764 1792 1944 1962 2016 2048 2058 2187 2268 2289 2304 2352 2592 2616 2646 2688 2744 2916 2943 3024 3052 3072 3087 3136 3402 3456 3488 3528 3584 3888 3924 3969 4032 4096 4116 4374 4536 4578 4608 4704 5103 5184 5232 5292 5341 5376 5488 5832 5886 6048 6104 6144 6174 6272 6804 6867 6912 6976 7056 7168 7776 7848 7938 8064 8192 8232 8748 8829 9072 9156 9216 9261 9408 10206 10368 10464 10584 10682 10752 10976 11664 11772 11881 11907 12096 12208 12288 12348 12544 13608 13734 13824 13952 14112 14336 15309 15552 15696 15876 16023 16128 16384 16464 17496 17658 18144 18312 18432 18522 18816 20412 20601 20736 20928 21168 21364 21504 21952 23328 23544 23762 23814 24192 24416 24576 24696 25088 26487 27216 27468 27648 27783 27904 28224 28672 30618 31104 31392 31752 32046 32256 32928 34992 35316 35643 35721 36288 36624 36864 37044 37387 37632 40824 41202 41472 41856 42336 42728 43008 43904 46656 47088 47524 47628 48069 48384 48832 49152 49392 50176 52974 54432 54936 55296 55566 55808 56448 57344 61236 61803 62208 62784 63504 64092 64512 65856 69984 70632 71286 71442 72576 73248 73728 74088 74774 75264 79461 81648 82404 82944 83167 83349 83712 84672 85456 86016 87808 93312 94176 95048 95256 96138 96768 97664 98784 100352 105948 106929 107163 108864 109872 110592 111132 111616 112161 112896 114688 122472 123606 124416 125568 127008 128184 129024 131712 139968 141264 142572 142884 144207 145152 146496 147456 148176 149548 150528 158922 163296 164808 165888 166334 166698 167424 169344 170912 172032 175616 185409 186624 188352 190096 190512 192276 193536 195328 197568 200704 211896 213858 214326 217728 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75113773056 81485030592 82778443776 83727737856 84502994688 85844312064 93125749248 95065869024 95688843264 96574851072 100151697408 106429427712 108646707456 110371258368 111636983808 112670659584 124167665664 126754492032 128766468096 141905903616 142598803536 144862276608 148849311744 150227546112 162970061184 165556887552 167455475712 169005989376 186251498496 190131738048 191377686528 193149702144 200303394816 212858855424 217293414912 223273967616 225341319168 248335331328 253508984064 257532936192 285197607072 289724553216 300455092224 325940122368 331113775104 334910951424 338011978752 372502996992 380263476096 386299404288 425717710848 434586829824 446547935232 450682638336 496670662656 507017968128 570395214144 579449106432 600910184448 651880244736 669821902848 676023957504 745005993984 760526952192 772598808576 869173659648 901365276672 993341325312 1014035936256 1140790428288 1158898212864 1303760489472 1339643805696 1352047915008 1490011987968 1521053904384 1738347319296 1802730553344 2028071872512 2281580856576 2317796425728 2607520978944 2704095830016 2980023975936 3042107808768 3476694638592 4056143745024 4563161713152 5215041957888 5408191660032 6084215617536 6953389277184 8112287490048 9126323426304 10430083915776 12168431235072 16224574980096 18252646852608 20860167831552 24336862470144 36505293705216 48673724940288 73010587410432 146021174820864
• Sum of all divisors σ(n): 515496735264000
• Sum of proper divisors (its aliquot sum) s(n): 369475560443136
• 146021174820864 is an abundant number, because the sum of its proper divisors (369475560443136) is greater than itself. Its abundance is 223454385622272

Bases of 146021174820864

• Binary: 100001001100111000110100010000010100000000000000₂
• Hexadecimal: 0x84CE34414000
• Base-36: 1FRD79C000

Squares and roots of 146021174820864

• 146021174820864 squared (146021174820864²) is 21322183496065326622489706496
• 146021174820864 cubed (146021174820864³) is 3113490283841496207423570018104736737132544
• The square root of 146021174820864 is 12083922.1621485135
• The cube root of 146021174820864 is 52658.9197963117

Scales and comparisons

• 146,021,174,820,864 seconds is equal to 4,643,021 years, 35 weeks, 4 days, 18 hours, 14 minutes, 24 seconds.
• To count from 1 to 146,021,174,820,864 would take you about eleven million, six hundred seven thousand, five hundred fifty-four 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 146021174820864 cubic inches would be around 4388.2 feet tall.

Recreational maths with 146021174820864

• 146021174820864 backwards is 468028471120641
• 146021174820864 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 146021174820864's digits is 54
• More coming soon!