10042468072
10,042,468,072 is an even composite number composed of six prime numbers multiplied together.
10042468072 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 10042468072:
23 × 72 × 132 × 17 × 37 × 241
(2 × 2 × 2 × 7 × 7 × 13 × 13 × 17 × 37 × 241)See below for interesting mathematical facts about the number 10042468072 from the Numbermatics database.
Names of 10042468072
- Cardinal: 10042468072 can be written as Ten billion, forty-two million, four hundred sixty-eight thousand and seventy-two.
Scientific notation
- Scientific notation: 1.0042468072 × 1010
Factors of 10042468072
Divisors of 10042468072
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 4 7 8 13 14 17 26 28 34 37 49 52 56 68 74 91 98 104 119 136 148 169 182 196 221 238 241 259 296 338 364 392 442 476 481 482 518 629 637 676 728 833 884 952 962 964 1036 1183 1258 1274 1352 1547 1666 1687 1768 1813 1924 1928 2072 2366 2516 2548 2873 3094 3133 3332 3367 3374 3626 3848 4097 4403 4732 5032 5096 5746 6188 6253 6266 6664 6734 6748 7252 8177 8194 8281 8806 8917 9464 10829 11492 11809 12376 12506 12532 13468 13496 14504 16354 16388 16562 17612 17834 20111 21658 21931 22984 23569 23618 25012 25064 26936 28679 30821 32708 32776 33124 35224 35668 40222 40729 43316 43771 43862 47138 47236 50024 53261 57239 57358 61642 62419 65416 66248 71336 80444 81458 86632 87542 87724 94276 94472 106301 106522 114478 114716 115921 123284 124838 140777 151589 153517 160888 162916 175084 175448 188552 200753 212602 213044 228956 229432 231842 246568 249676 281554 285103 303178 306397 307034 325832 350168 372827 400673 401506 425204 426088 436933 457912 463684 499352 563108 570206 606356 612794 614068 692393 744107 745654 801346 803012 811447 850408 873866 927368 1061123 1126216 1140412 1212712 1225588 1228136 1384786 1488214 1491308 1506973 1602692 1606024 1622894 1747732 1970657 1995721 2122246 2280824 2451176 2609789 2769572 2976428 2982616 3013946 3205384 3245788 3495464 3941314 3991442 4244492 4846751 5208749 5219578 5539144 5680129 5952856 6027892 6491576 7427861 7882628 7982884 8488984 9693502 10417498 10439156 10548811 11360258 12055784 13794599 14855722 15765256 15965768 19387004 20834996 20878312 21097622 22720516 25618541 27589198 29711444 33927257 38774008 41669992 42195244 45441032 51237082 55178396 59422888 67854514 73841677 84390488 96562193 102474164 110356792 135709028 147683354 179329787 193124386 204948328 271418056 295366708 358659574 386248772 590733416 717319148 772497544 1255308509 1434638296 2510617018 5021234036 10042468072
- Sum of all divisors σ(n): 25899338520
- Sum of proper divisors (its aliquot sum) s(n): 15856870448
- 10042468072 is an abundant number, because the sum of its proper divisors (15856870448) is greater than itself. Its abundance is 5814402376
Bases of 10042468072
- Binary: 10010101101001001111100110111010002
- Hexadecimal: 0x25693E6E8
- Base-36: 4M30XYG
Squares and roots of 10042468072
- 10042468072 squared (100424680722) is 100851164977139397184
- 10042468072 cubed (100424680723) is 1012794604306927006113646709248
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The
square root of 10042468072 is 100212.1153952953 -
The
cube root of 10042468072 is 2157.4802057705
Scales and comparisons
How big is 10042468072?- 10,042,468,072 seconds is equal to 319 years, 16 weeks, 4 days, 6 hours, 27 minutes, 52 seconds.
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To count from 1 to 10,042,468,072 would take you about six hundred thirty-eight 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 10042468072 cubic inches would be around 179.8 feet tall.
Recreational maths with 10042468072
- 10042468072 backwards is 27086424001
- 10042468072 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 10042468072's digits is 34
- More coming soon!
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