106972817734016
106,972,817,734,016 is an even composite number composed of six prime numbers multiplied together.
106972817734016 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 106972817734016:
27 × 132 × 23 × 31 × 1801 × 3851
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 13 × 13 × 23 × 31 × 1801 × 3851)See below for interesting mathematical facts about the number 106972817734016 from the Numbermatics database.
Names of 106972817734016
- Cardinal: 106972817734016 can be written as One hundred six trillion, nine hundred seventy-two billion, eight hundred seventeen million, seven hundred thirty-four thousand and sixteen.
Scientific notation
- Scientific notation: 1.06972817734016 × 1014
Factors of 106972817734016
Divisors of 106972817734016
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 4 8 13 16 23 26 31 32 46 52 62 64 92 104 124 128 169 184 208 248 299 338 368 403 416 496 598 676 713 736 806 832 992 1196 1352 1426 1472 1612 1664 1801 1984 2392 2704 2852 2944 3224 3602 3851 3887 3968 4784 5239 5408 5704 6448 7204 7702 7774 9269 9568 10478 10816 11408 12896 14408 15404 15548 18538 19136 20956 21632 22816 23413 25792 28816 30808 31096 37076 38272 41423 41912 45632 46826 50063 51584 55831 57632 61616 62192 74152 82846 83824 88573 91264 93652 100126 111662 115264 119381 120497 123232 124384 148304 165692 167648 177146 187304 200252 223324 230528 238762 240994 246464 248768 296608 304369 331384 335296 354292 374608 400504 446648 477524 481988 492928 497536 538499 593216 608738 650819 662768 670592 708584 725803 749216 801008 893296 955048 963976 1076998 1151449 1186432 1217476 1284113 1301638 1325536 1417168 1451606 1498432 1551953 1602016 1786592 1910096 1927952 2153996 2302898 2434952 2568226 2603276 2651072 2745763 2834336 2903212 2996864 3103906 3204032 3573184 3820192 3855904 4307992 4605796 4869904 5136452 5206552 5302144 5491526 5668672 5806424 6207812 6408064 6935651 7000487 7146368 7640384 7711808 8615984 9211592 9435439 9739808 10272904 10413104 10983052 11337344 11612848 12415624 13871302 14000974 14968837 15280768 15423616 16693469 17231968 18423184 18870878 19479616 20175389 20545808 20826208 21966104 23225696 24831248 27742604 28001948 29937674 33386938 34463936 35694919 36846368 37741756 38959232 40350778 41091616 41652416 43932208 46451392 49662496 55485208 56003896 59875348 66773876 68927872 71389838 73692736 75483512 80701556 82183232 83304832 87864416 90163463 92902784 99324992 110970416 112007792 119750696 133547752 142779676 147385472 150967024 159519973 161403112 164366464 175728832 180326926 198649984 215005181 217015097 221940832 224015584 239501392 267095504 285559352 301934048 319039946 322806224 351457664 360653852 430010362 434030194 443881664 448031168 464033947 479002784 534191008 571118704 603868096 638079892 645612448 721307704 860020724 868060388 887763328 896062336 928067894 958005568 1068382016 1142237408 1172125019 1207736192 1276159784 1291224896 1442615408 1720041448 1736120776 1856135788 1916011136 2073759649 2136764032 2284474816 2344250038 2552319568 2582449792 2795067353 2885230816 3440082896 3472241552 3712271576 4147519298 4568949632 4688500076 4945119163 5104639136 5590134706 5770461632 6880165792 6944483104 7424543152 8295038596 9377000152 9890238326 10209278272 11180269412 11540923264 13760331584 13888966208 14849086304 16590077192 18754000304 19780476652 20418556544 22360538824 26958875437 27520663168 27777932416 29698172608 33180154384 36335875589 37508000608 39560953304 44721077648 53917750874 59396345216 64286549119 66360308768 72671751178 75016001216 79121906608 89442155296 107835501748 128573098238 132720617536 145343502356 150032002432 158243813216 178884310592 215671003496 257146196476 265441235072 290687004712 316487626432 357768621184 431342006992 514292392952 581374009424 632975252864 835725138547 862684013984 1028584785904 1162748018848 1671450277094 1725368027968 2057169571808 2325496037696 3342900554188 3450736055936 4114339143616 4650992075392 6685801108376 8228678287232 13371602216752 26743204433504 53486408867008 106972817734016
- Sum of all divisors σ(n): 248767450490880
- Sum of proper divisors (its aliquot sum) s(n): 141794632756864
- 106972817734016 is an abundant number, because the sum of its proper divisors (141794632756864) is greater than itself. Its abundance is 34821815022848
Bases of 106972817734016
- Binary: 110000101001010100011001100110100111001100000002
- Hexadecimal: 0x614A8CCD3980
- Base-36: 11X2MTQ0E8
Squares and roots of 106972817734016
- 106972817734016 squared (1069728177340162) is 11443183733955008024923488256
- 106972817734016 cubed (1069728177340163) is 1224109607869225711346390918632976307716096
-
The
square root of 106972817734016 is 10342766.4449128889 -
The
cube root of 106972817734016 is 47470.5734982143
Scales and comparisons
How big is 106972817734016?- 106,972,817,734,016 seconds is equal to 3,401,404 years, 37 weeks, 1 day, 8 hours, 46 minutes, 56 seconds.
-
To count from 1 to 106,972,817,734,016 would take you about eight million, five hundred three thousand, five hundred eleven 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 106972817734016 cubic inches would be around 3955.9 feet tall.
Recreational maths with 106972817734016
- 106972817734016 backwards is 610437718279601
- 106972817734016 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 106972817734016's digits is 62
- More coming soon!
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