122116084020
122,116,084,020 is an even composite number composed of seven prime numbers multiplied together.
What does the number 122116084020 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 432 divisors.
122116084020 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 122116084020:
22 × 32 × 5 × 72 × 17 × 257 × 3169
(2 × 2 × 3 × 3 × 5 × 7 × 7 × 17 × 257 × 3169)See below for interesting mathematical facts about the number 122116084020 from the Numbermatics database.
Names of 122116084020
- Cardinal: 122116084020 can be written as One hundred twenty-two billion, one hundred sixteen million, eighty-four thousand and twenty.
Scientific notation
- Scientific notation: 1.2211608402 × 1011
Factors of 122116084020
Divisors of 122116084020
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 7 9 10 12 14 15 17 18 20 21 28 30 34 35 36 42 45 49 51 60 63 68 70 84 85 90 98 102 105 119 126 140 147 153 170 180 196 204 210 238 245 252 255 257 294 306 315 340 357 420 441 476 490 510 514 588 595 612 630 714 735 765 771 833 882 980 1020 1028 1071 1190 1260 1285 1428 1470 1530 1542 1666 1764 1785 1799 2142 2205 2313 2380 2499 2570 2940 3060 3084 3169 3332 3570 3598 3855 4165 4284 4369 4410 4626 4998 5140 5355 5397 6338 7140 7196 7497 7710 8330 8738 8820 8995 9252 9507 9996 10710 10794 11565 12495 12593 12676 13107 14994 15420 15845 16191 16660 17476 17990 19014 21420 21588 21845 22183 23130 24990 25186 26214 26985 28521 29988 30583 31690 32382 35980 37485 37779 38028 39321 43690 44366 46260 47535 49980 50372 52428 53873 53970 57042 61166 62965 63380 64764 65535 66549 74970 75558 78642 80955 87380 88732 91749 95070 107746 107940 110915 113337 114084 122332 125930 131070 133098 142605 149940 151116 152915 155281 157284 161619 161910 183498 188895 190140 196605 199647 214081 215492 221830 226674 251860 262140 266196 269365 275247 285210 305830 310562 323238 323820 332745 366996 377111 377790 393210 399294 428162 443660 453348 458745 465843 484857 538730 550494 566685 570420 611660 621124 642243 646476 665490 754222 755580 776405 786420 798588 808095 814433 856324 917490 931686 969714 998235 1070405 1077460 1100988 1131333 1133370 1284486 1330980 1376235 1397529 1508444 1552810 1616190 1628866 1834980 1863372 1885555 1926729 1939428 1996470 2140810 2262666 2266740 2329215 2424285 2443299 2568972 2639777 2752470 2795058 3105620 3211215 3232380 3257732 3393999 3771110 3853458 3992940 4072165 4281620 4525332 4658430 4848570 4886598 5279554 5504940 5590116 5656665 5701031 6422430 6787998 6987645 7329897 7542220 7706916 7919331 8144330 9316860 9633645 9697140 9773196 10559108 11313330 11402062 12216495 12844860 13198885 13575996 13845361 13975290 14659794 15838662 16288660 16969995 17103093 19267290 22626660 22804124 23757993 24432990 26397770 27690722 27950580 28505155 29319588 31677324 33939990 34206186 36649485 38534580 39596655 39907217 41536083 47515986 48865980 51309279 52795540 55381444 57010310 67879980 68412372 69226805 73298970 79193310 79814434 83072166 85515465 95031972 96917527 102618558 114020620 118789965 119721651 124608249 138453610 146597940 158386620 159628868 166144332 171030930 193835054 199536085 205237116 207680415 237579930 239443302 249216498 256546395 276907220 290752581 342061860 359164953 387670108 399072170 415360830 475159860 478886604 484587635 498432996 513092790 581505162 598608255 623041245 678422689 718329906 798144340 830721660 872257743 969175270 1026185580 1163010324 1197216510 1246082490 1356845378 1436659812 1453762905 1744515486 1795824765 1938350540 2035268067 2394433020 2492164980 2713690756 2907525810 3392113445 3489030972 3591649530 4070536134 4361288715 5815051620 6105804201 6784226890 7183299060 8141072268 8722577430 10176340335 12211608402 13568453780 17445154860 20352680670 24423216804 30529021005 40705361340 61058042010 122116084020
- Sum of all divisors σ(n): 458161900560
- Sum of proper divisors (its aliquot sum) s(n): 336045816540
- 122116084020 is an abundant number, because the sum of its proper divisors (336045816540) is greater than itself. Its abundance is 213929732520
Bases of 122116084020
- Binary: 11100011011101010111110010001001101002
- Hexadecimal: 0x1C6EAF9134
- Base-36: 1K3KRHH0
Squares and roots of 122116084020
- 122116084020 squared (1221160840202) is 14912337976379699360400
- 122116084020 cubed (1221160840203) is 1821036317258220142516946660808000
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The
square root of 122116084020 is 349451.1182125477 -
The
cube root of 122116084020 is 4961.2482228003
Scales and comparisons
How big is 122116084020?- 122,116,084,020 seconds is equal to 3,882 years, 47 weeks, 3 days, 14 hours, 27 minutes.
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To count from 1 to 122,116,084,020 would take you about seven thousand, seven hundred sixty-five 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 122116084020 cubic inches would be around 413.4 feet tall.
Recreational maths with 122116084020
- 122116084020 backwards is 020480611221
- The number of decimal digits it has is: 12
- The sum of 122116084020's digits is 27
- More coming soon!
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