46972114330680
46,972,114,330,680 is an even composite number composed of nine prime numbers multiplied together.
What does the number 46972114330680 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 1536 divisors.
46972114330680 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 46972114330680:
23 × 32 × 5 × 7 × 11 × 19 × 71 × 521 × 2411
(2 × 2 × 2 × 3 × 3 × 5 × 7 × 11 × 19 × 71 × 521 × 2411)See below for interesting mathematical facts about the number 46972114330680 from the Numbermatics database.
Names of 46972114330680
- Cardinal: 46972114330680 can be written as Forty-six trillion, nine hundred seventy-two billion, one hundred fourteen million, three hundred thirty thousand, six hundred eighty.
Scientific notation
- Scientific notation: 4.697211433068 × 1013
Factors of 46972114330680
Divisors of 46972114330680
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 18 19 20 21 22 24 28 30 33 35 36 38 40 42 44 45 55 56 57 60 63 66 70 71 72 76 77 84 88 90 95 99 105 110 114 120 126 132 133 140 142 152 154 165 168 171 180 190 198 209 210 213 220 228 231 252 264 266 280 284 285 308 315 330 342 355 360 380 385 396 399 418 420 426 440 456 462 495 497 504 521 532 568 570 616 627 630 639 660 665 684 693 710 760 770 781 792 798 836 840 852 855 924 990 994 1042 1045 1064 1065 1140 1155 1197 1254 1260 1278 1320 1330 1349 1368 1386 1420 1463 1491 1540 1562 1563 1596 1672 1704 1710 1848 1881 1980 1988 1995 2084 2090 2130 2280 2310 2343 2394 2411 2485 2508 2520 2556 2605 2660 2698 2772 2840 2926 2982 3080 3124 3126 3135 3192 3195 3420 3465 3647 3762 3905 3960 3976 3990 4047 4168 4180 4260 4389 4473 4620 4686 4689 4788 4822 4970 5016 5112 5210 5320 5396 5467 5544 5731 5852 5964 5985 6248 6252 6270 6390 6745 6840 6930 7029 7233 7294 7315 7455 7524 7810 7815 7980 8094 8360 8520 8778 8946 9240 9372 9378 9405 9443 9576 9644 9899 9940 10420 10792 10934 10941 11462 11704 11715 11928 11970 12055 12141 12504 12540 12780 13167 13490 13860 14058 14466 14588 14630 14839 14910 15048 15620 15630 15960 16188 16401 16877 17193 17556 17892 18235 18744 18756 18810 18886 19288 19798 19880 20235 20840 21699 21868 21882 21945 22365 22924 23430 23445 23940 24110 24282 25080 25560 26334 26521 26980 27335 27720 28116 28329 28655 28932 29176 29260 29678 29697 29820 31240 31260 32376 32802 32823 33754 34386 35112 35145 35784 36165 36470 36991 37512 37620 37772 39596 40117 40470 43398 43736 43764 43890 44517 44730 45809 45848 46860 46890 47215 47880 48220 48564 49203 49495 50631 51579 52668 53042 53960 54670 54705 56232 56658 57310 57864 58520 59356 59394 59640 60705 62520 65604 65646 65835 67508 68772 69293 70290 72330 72940 73982 74195 75240 75544 79192 79563 80234 80940 82005 84385 84987 85965 86796 87528 87780 89034 89091 89460 91618 93720 93780 94430 96440 97128 98406 98990 101262 103158 103873 105336 106084 108495 108889 109340 109410 110973 113316 114620 118712 118788 120351 121410 131208 131292 131670 132605 133551 135016 137427 137544 138586 140580 141645 144660 145880 147964 148390 148485 151893 159126 160468 161880 164010 164115 168770 169974 171181 171930 173592 175560 178068 178182 178920 183236 184955 185647 187560 188860 196812 197980 200585 202524 206316 207746 207879 212168 216990 217778 218680 218820 221946 222585 226632 229045 229240 237576 238689 240702 242820 246015 253155 257895 258937 262584 263340 265210 267102 274854 277172 281160 283290 289320 295928 296780 296970 303786 311619 318252 320663 320936 326667 328020 328230 332919 337540 339948 342362 343860 346465 356136 356364 361053 366472 369910 371294 377720 393624 395960 397815 401170 405048 406901 412281 412632 415492 415758 424935 433980 435556 437640 443892 445170 445455 458090 477378 481404 485640 492030 503899 506310 513543 515790 517874 519365 526680 530420 534204 544445 549708 554344 554865 556941 566580 593560 593940 601755 607572 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28093369815 29431149330 30052536360 30071776140 30501372942 31503765480 32106708360 33078953754 33890414380 34336340885 34819951320 35317379196 35584935099 36754393060 37279455818 37457826420 39241532440 40668497256 41203609062 44105271672 44146723995 44949391704 45078804540 47255648220 47446580132 50835621570 54938145416 55131589590 55919183727 56186739630 58862298660 59308225165 60143552280 61002745884 61805413593 66157907508 67780828760 68672681770 70634758392 71169870198 73508786120 74558911636 74915652840 76253432355 82407218124 82697384385 88293447990 90157609080 93198639545 94511296440 94893160264 101671243140 103009022655 106754805297 110263179180 111838367454 112373479260 117724597320 118616450330 122005491768 123610827186 130478095363 132315815016 137345363540 142339740396 149117823272 152506864710 164814436248 165394768770 167757551181 176586895980 177924675495 186397279090 203342486280 206018045310 213509610594 220526358360 223676734908 224746958520 237232900660 247221654372 260956190726 274690727080 279595918635 284679480792 305013729420 309027067965 330789537540 335515102362 353173791960 355849350990 372794558180 391434286089 412036090620 427019221188 447353469816 474465801320 494443308744 521912381452 533774026485 559191837270 610027458840 618054135930 652390476815 661579075080 671030204724 711698701980 745589116360 782868572178 824072181240 838787755905 854038442376 1043824762904 1067548052970 1118383674540 1174302858267 1236108271860 1304780953630 1342060409448 1423397403960 1565737144356 1677575511810 1957171430445 2135096105940 2236767349080 2348605716534 2472216543720 2609561907260 3131474288712 3355151023620 3914342860890 4270192211880 4697211433068 5219123814520 5871514291335 6710302047240 7828685721780 9394422866136 11743028582670 15657371443560 23486057165340 46972114330680
- Sum of all divisors σ(n): 203642018611200
- Sum of proper divisors (its aliquot sum) s(n): 156669904280520
- 46972114330680 is an abundant number, because the sum of its proper divisors (156669904280520) is greater than itself. Its abundance is 109697789949840
Bases of 46972114330680
- Binary: 10101010111000100011000011000001100100001110002
- Hexadecimal: 0x2AB88C306438
- Base-36: GNEOW36M0
Squares and roots of 46972114330680
- 46972114330680 squared (469721143306802) is 2206379524694473424389262400
- 46972114330680 cubed (469721143306803) is 103638311290820202086351285805754890432000
-
The
square root of 46972114330680 is 6853620.5271870721 -
The
cube root of 46972114330680 is 36081.1221886333
Scales and comparisons
How big is 46972114330680?- 46,972,114,330,680 seconds is equal to 1,493,567 years, 48 weeks, 6 days, 16 hours, 18 minutes.
-
To count from 1 to 46,972,114,330,680 would take you about three million, seven hundred thirty-three thousand, nine hundred nineteen 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 46972114330680 cubic inches would be around 3006.8 feet tall.
Recreational maths with 46972114330680
- 46972114330680 backwards is 08603341127964
- The number of decimal digits it has is: 14
- The sum of 46972114330680's digits is 54
- More coming soon!
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"Number 46972114330680 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 46972114330680 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/46972114330680/
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The information we have on file for 46972114330680 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 46972114330680, math, Factors of 46972114330680, curriculum, school, college, exams, university, Prime factorization of 46972114330680, STEM, science, technology, engineering, physics, economics, calculator, forty-six trillion, nine hundred seventy-two billion, one hundred fourteen million, three hundred thirty thousand, six hundred eighty.