106646414131400
106,646,414,131,400 is an even composite number composed of five prime numbers multiplied together.
106646414131400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 106646414131400:
23 × 52 × 113 × 136 × 83
(2 × 2 × 2 × 5 × 5 × 11 × 11 × 11 × 13 × 13 × 13 × 13 × 13 × 13 × 83)See below for interesting mathematical facts about the number 106646414131400 from the Numbermatics database.
Names of 106646414131400
- Cardinal: 106646414131400 can be written as One hundred six trillion, six hundred forty-six billion, four hundred fourteen million, one hundred thirty-one thousand, four hundred.
Scientific notation
- Scientific notation: 1.066464141314 × 1014
Factors of 106646414131400
Divisors of 106646414131400
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 4 5 8 10 11 13 20 22 25 26 40 44 50 52 55 65 83 88 100 104 110 121 130 143 166 169 200 220 242 260 275 286 325 332 338 415 440 484 520 550 572 605 650 664 676 715 830 845 913 968 1079 1100 1144 1210 1300 1331 1352 1430 1573 1660 1690 1826 1859 2075 2158 2197 2200 2420 2600 2662 2860 3025 3146 3320 3380 3575 3652 3718 4150 4225 4316 4394 4565 4840 5324 5395 5720 6050 6292 6655 6760 7150 7304 7436 7865 8300 8450 8632 8788 9130 9295 10043 10648 10790 10985 11869 12100 12584 13310 14027 14300 14872 15730 16600 16900 17303 17576 18260 18590 20086 20449 21580 21970 22825 23738 24167 24200 26620 26975 28054 28561 28600 31460 33275 33800 34606 36520 37180 39325 40172 40898 43160 43940 45650 46475 47476 48334 50215 53240 53950 54925 56108 57122 59345 62920 66550 69212 70135 74360 78650 80344 81796 86515 87880 91300 92950 94952 96668 100430 102245 107900 109850 110473 112216 114244 118690 120835 130559 133100 138424 140270 142805 154297 157300 163592 173030 182351 182600 185900 193336 200860 204490 215800 219700 220946 224939 228488 237380 241670 251075 261118 265837 266200 280540 285610 296725 308594 314171 314600 346060 350675 364702 371293 371800 401720 408980 432575 439400 441892 449878 474760 483340 502150 511225 522236 531674 552365 561080 571220 593450 604175 617188 628342 652795 692120 701350 714025 729404 742586 771485 817960 865150 883784 899756 911755 966680 1004300 1022450 1044472 1063348 1104730 1124695 1142440 1186900 1208350 1234376 1256684 1305590 1329185 1402700 1428050 1436149 1458808 1485172 1542970 1570855 1697267 1730300 1799512 1823510 1856465 2005861 2008600 2044900 2126696 2209460 2249390 2370563 2373800 2416700 2513368 2611180 2658370 2761825 2805400 2856100 2872298 2924207 2970344 3085940 3141710 3263975 3394534 3455881 3460600 3647020 3712930 3857425 4011722 4084223 4089800 4418920 4498780 4558775 4741126 4826809 4833400 5222360 5316740 5523650 5623475 5712200 5744596 5848414 6171880 6283420 6527950 6645925 6789068 6911762 7180745 7294040 7425860 7714850 7854275 8023444 8168446 8486335 8997560 9117550 9282325 9482252 9653618 10029305 10633480 11047300 11246950 11489192 11696828 11852815 12566840 13055900 13291850 13578136 13823524 14361490 14621035 14851720 15429700 15708550 16046888 16336892 16972670 17279405 18235100 18564650 18669937 18964504 19307236 20058610 20421115 22064471 22094600 22493900 23393656 23705630 24134045 26076193 26111800 26583700 27647048 28722980 29242070 30817319 30859400 31417100 32673784 33945340 34558810 35903725 36470200 37129300 37339874 38014691 38614472 40117220 40842230 42431675 44128942 44926453 44987800 47411260 48268090 50146525 52152386 53094899 53167400 57445960 58484140 59264075 61634638 62834200 67890680 69117620 71807450 73105175 74258600 74679748 76029382 80234440 81684460 84863350 86397025 88257884 89852906 93349685 94822520 96536180 100293050 102105575 104304772 106189798 110322355 116968280 118528150 120670225 123269276 130380965 138235240 143614900 146210350 149359496 152058764 154086595 163368920 169726700 172794050 176515768 179705812 186699370 190073455 193072360 200586100 204211150 208609544 212379596 220644710 224632265 237056300 241340450 242709181 246538552 260761930 265474495 286838123 287229800 292420700 304117528 308173190 338990509 339453400 345588100 359411624 373398740 380146910 400625147 401172200 408422300 424759192 441289420 449264530 466748425 474112600 482680900 485418362 494190983 521523860 530948990 551611775 573676246 584043889 584841400 616346380 651904825 677981018 691176200 746797480 760293820 770432975 801250294 816844600 882578840 898529060 933496850 950367275 965361800 970836724 988381966 1043047720 1061897980 1103223550 1123161325 1147352492 1168087778 1213545905 1232692760 1303809650 1327372475 1355962036 1434190615 1520587640 1540865950 1602500588 1694952545 1797058120 1866993700 1900734550 1941673448 1976763932 2003125735 2123795960 2206447100 2246322650 2294704984 2336175556 2427091810 2470954915 2607619300 2654744950 2711924072 2868381230 2920219445 3081731900 3155219353 3205001176 3389905090 3728895599 3733987400 3801469100 3953527864 4006251470 4406876617 4412894200 4492645300 4672351112 4854183620 4941909830 5215238600 5309489900 5736762460 5840438890 6067729525 6163463800 6310438706 6424482779 6779810180 7170953075 7457791198 7602938200 8012502940 8474762725 8813753234 8985290600 9708367240 9883819660 10015628675 10618979800 11473524920 11680877780 12135459050 12354774575 12620877412 12848965558 13559620360 14341906150 14601097225 14915582396 15776096765 16025005880 16949525450 17627506468 18644477995 19767639320 20031257350 22034383085 23361755560 24270918100 24709549150 25241754824 25697931116 28683812300 29202194450 29831164792 31552193530 32122413895 33899050900 35255012936 37288955990 40062514700 41017851589 44068766170 48475642787 48541836200 49419098300 51395862232 57367624600 58404388900 63104387060 64244827790 67798101800 74577911980 78880483825 80125029400 82035703178 88137532340 93222389975 96951285574 98838196600 110171915425 116808777800 126208774120 128489655580 149155823960 157760967650 160612069475 164071406356 176275064680 186444779950 193902571148 205089257945 220343830850 242378213935 256979311160 315521935300 321224138950 328142812712 372889559900 387805142296 410178515890 440687661700 484756427870 533232070657 631043870600 642448277900 745779119800 820357031780 881375323400 969512855740 1025446289725 1066464141314 1211891069675 1284896555800 1640714063560 1939025711480 2050892579450 2132928282628 2423782139350 2666160353285 4101785158900 4265856565256 4847564278700 5332320706570 8203570317800 9695128557400 10664641413140 13330801766425 21329282826280 26661603532850 53323207065700 106646414131400
- Sum of all divisors σ(n): 299016758265120
- Sum of proper divisors (its aliquot sum) s(n): 192370344133720
- 106646414131400 is an abundant number, because the sum of its proper divisors (192370344133720) is greater than itself. Its abundance is 85723930002320
Bases of 106646414131400
- Binary: 110000011111110100011011010000110000000110010002
- Hexadecimal: 0x60FE8DA180C8
- Base-36: 11SWOPG0QW
Squares and roots of 106646414131400
- 106646414131400 squared (1066464141314002) is 11373457647086073616465960000
- 106646414131400 cubed (1066464141314003) is 1212938474337079635363216060271067144000000
-
The
square root of 106646414131400 is 10326975.0716945183 -
The
cube root of 106646414131400 is 47422.2423654227
Scales and comparisons
How big is 106646414131400?- 106,646,414,131,400 seconds is equal to 3,391,026 years, 4 weeks, 4 days, 21 hours, 23 minutes, 20 seconds.
-
To count from 1 to 106,646,414,131,400 would take you about eight million, four hundred seventy-seven thousand, five 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 106646414131400 cubic inches would be around 3951.9 feet tall.
Recreational maths with 106646414131400
- 106646414131400 backwards is 004131414646601
- The number of decimal digits it has is: 15
- The sum of 106646414131400's digits is 41
- More coming soon!
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