106137114993
106,137,114,993 is an odd composite number composed of seven prime numbers multiplied together.
106137114993 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 106137114993:
35 × 7 × 13 × 19 × 29 × 31 × 281
(3 × 3 × 3 × 3 × 3 × 7 × 13 × 19 × 29 × 31 × 281)See below for interesting mathematical facts about the number 106137114993 from the Numbermatics database.
Names of 106137114993
- Cardinal: 106137114993 can be written as One hundred six billion, one hundred thirty-seven million, one hundred fourteen thousand, nine hundred ninety-three.
Scientific notation
- Scientific notation: 1.06137114993 × 1011
Factors of 106137114993
Divisors of 106137114993
- Number of divisors d(n): 384
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Complete list of divisors:
1 3 7 9 13 19 21 27 29 31 39 57 63 81 87 91 93 117 133 171 189 203 217 243 247 261 273 279 281 351 377 399 403 513 551 567 589 609 651 741 783 819 837 843 899 1053 1131 1197 1209 1539 1653 1701 1729 1767 1827 1953 1967 2223 2349 2457 2511 2529 2639 2697 2821 3159 3393 3591 3627 3653 3857 4123 4617 4959 5187 5301 5339 5481 5859 5901 6293 6669 7047 7163 7371 7533 7587 7657 7917 8091 8149 8463 8711 10179 10773 10881 10959 11571 11687 12369 14877 15561 15903 16017 16443 17081 17577 17703 18879 20007 21489 22113 22761 22971 23751 24273 24447 25389 25571 26133 30537 32319 32643 32877 34713 35061 37107 37373 44631 46683 47709 48051 49329 50141 51243 52731 53109 53599 56637 57043 60021 60977 64467 68283 68913 69407 71253 72819 73341 76167 76713 78399 81809 91611 97929 98631 104139 105183 105937 111321 112119 113243 119567 133893 140049 143127 144153 150423 153729 154831 159327 160797 165509 169911 171129 182931 193401 206739 208221 213759 218457 220023 222053 228501 230139 235197 245427 252619 295893 312417 315549 317811 333963 336357 339729 358701 420147 432459 451269 461187 464493 477981 482391 485849 496527 509733 513387 548793 580203 620217 624663 641277 660069 666159 685503 690417 705591 736281 741559 757857 792701 887679 937251 946647 953433 1001889 1009071 1019187 1076103 1083817 1158563 1297377 1353807 1383561 1393479 1447173 1457547 1489581 1529199 1540161 1554371 1646379 1740609 1768333 1860651 1873989 1980207 1998477 2012803 2071251 2116773 2151617 2208843 2224677 2273571 2378103 2839941 2860299 3027213 3057561 3228309 3251451 3284047 3475689 4061421 4150683 4180437 4341519 4372641 4468743 4620483 4663113 4799761 4939137 5304999 5621967 5995431 6038409 6213753 6454851 6626529 6674031 6820713 7134309 8580897 9081639 9172683 9684927 9754353 9852141 10427067 12184263 12541311 13024557 13117923 13406229 13861449 13989339 14089621 14399283 14817411 15061319 15914997 16865901 17986293 18115227 19364553 19879587 20022093 20462139 21402927 22988329 25742691 27518049 29054781 29263059 29556423 31281201 33598327 37623933 39353769 40218687 41968017 42268863 43197849 45183957 47744991 53958879 54345681 58093659 60066279 61386417 62396893 64208781 68964987 87789177 88669269 93843603 100794981 118061307 125904051 126806589 129593547 135551871 143234973 163037043 174280977 180198837 187190679 192626343 206894961 263367531 266007807 281530809 302384943 377712153 380419767 388780641 406655613 429704919 436778251 489111129 522842931 561572037 620684883 798023421 907154829 1141259301 1166341923 1219966839 1310334753 1684716111 1862054649 2721464487 3423777903 3659900517 3931004259 5054148333 5586163947 8164393461 11793012777 15162444999 35379038331 106137114993
- Sum of all divisors σ(n): 220734259200
- Sum of proper divisors (its aliquot sum) s(n): 114597144207
- 106137114993 is an abundant number, because the sum of its proper divisors (114597144207) is greater than itself. Its abundance is 8460029214
Bases of 106137114993
- Binary: 11000101101100100001111011001011100012
- Hexadecimal: 0x18B643D971
- Base-36: 1CRBAQ29
Squares and roots of 106137114993
- 106137114993 squared (1061371149932) is 11265087179037305390049
- 106137114993 cubed (1061371149933) is 1195643853327652461220489430904657
-
The
square root of 106137114993 is 325786.9165466901 -
The
cube root of 106137114993 is 4734.6632208479
Scales and comparisons
How big is 106137114993?- 106,137,114,993 seconds is equal to 3,374 years, 43 weeks, 1 day, 19 hours, 56 minutes, 33 seconds.
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To count from 1 to 106,137,114,993 would take you about six thousand, seven hundred forty-nine 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 106137114993 cubic inches would be around 394.6 feet tall.
Recreational maths with 106137114993
- 106137114993 backwards is 399411731601
- The number of decimal digits it has is: 12
- The sum of 106137114993's digits is 45
- More coming soon!
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