13657689004960
13,657,689,004,960 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13657689004960 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1728 divisors.
13657689004960 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 13657689004960:
25 × 5 × 72 × 11 × 132 × 17 × 199 × 277
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 11 × 13 × 13 × 17 × 199 × 277)See below for interesting mathematical facts about the number 13657689004960 from the Numbermatics database.
Names of 13657689004960
- Cardinal: 13657689004960 can be written as Thirteen trillion, six hundred fifty-seven billion, six hundred eighty-nine million, four thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.365768900496 × 1013
Factors of 13657689004960
Divisors of 13657689004960
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 17 20 22 26 28 32 34 35 40 44 49 52 55 56 65 68 70 77 80 85 88 91 98 104 110 112 119 130 136 140 143 154 160 169 170 176 182 187 196 199 208 220 221 224 238 245 260 272 277 280 286 308 338 340 352 364 374 385 392 398 416 440 442 455 476 490 520 539 544 554 560 572 595 616 637 676 680 715 728 748 770 784 796 833 845 880 884 910 935 952 980 995 1001 1040 1078 1105 1108 1120 1144 1183 1190 1232 1274 1309 1352 1360 1385 1393 1430 1456 1496 1540 1547 1568 1592 1666 1690 1760 1768 1820 1859 1870 1904 1939 1960 1990 2002 2080 2156 2189 2210 2216 2288 2366 2380 2431 2464 2548 2587 2618 2695 2704 2720 2770 2786 2860 2873 2912 2992 3047 3080 3094 3184 3185 3332 3380 3383 3536 3601 3640 3718 3740 3808 3878 3920 3980 4004 4165 4312 4378 4420 4432 4576 4709 4732 4760 4862 5005 5096 5174 5236 5390 5408 5540 5572 5720 5746 5915 5984 6094 6160 6188 6368 6370 6545 6664 6760 6766 6965 7007 7072 7202 7280 7436 7480 7735 7756 7840 7960 8008 8281 8330 8624 8756 8840 8864 9163 9295 9418 9464 9520 9695 9724 9751 10010 10192 10348 10472 10780 10829 10945 11080 11144 11440 11492 11830 12155 12188 12320 12376 12740 12935 13013 13090 13328 13520 13532 13573 13930 14014 14365 14404 14560 14872 14960 15235 15323 15470 15512 15920 16016 16562 16660 16915 17017 17248 17512 17680 18005 18109 18326 18590 18836 18928 19040 19390 19448 19502 20020 20111 20384 20696 20944 21329 21560 21658 21890 22160 22288 22880 22984 23545 23660 23681 24310 24376 24752 25207 25480 25870 26026 26180 26656 27040 27064 27146 27860 28028 28457 28730 28808 29744 29920 30470 30646 30940 31024 31603 31840 32032 32963 33124 33320 33631 33830 34034 35024 35035 35360 36010 36218 36652 37180 37213 37672 37856 38780 38896 39004 39611 40040 40222 41392 41405 41888 42658 43120 43316 43780 43979 44320 44576 45815 45968 46813 47090 47320 47362 48620 48752 48755 49504 50414 50960 51740 51799 52052 52360 54128 54145 54292 55123 55720 56056 56914 57460 57616 59488 60940 61217 61292 61880 62048 63206 65065 65926 66248 66640 67262 67660 67865 68068 70048 70070 72020 72436 73304 74360 74426 75344 76615 77560 77792 78008 79222 80080 80444 82784 82810 85085 85316 86240 86632 87560 87958 90545 91091 91630 91936 93626 94180 94640 94724 97240 97504 97510 100555 100828 101920 103480 103598 104104 104720 106645 107261 108256 108290 108584 110246 111440 112112 113828 114920 115232 118405 119119 121880 122434 122584 123760 126035 126412 126763 130130 131852 132496 133280 134524 135320 135730 136136 140140 140777 142285 144040 144872 146608 148720 148852 149303 150688 153230 155120 156016 158015 158444 160160 160888 164815 165620 165767 168155 170170 170632 173264 175120 175916 176449 181090 182182 183260 186065 187252 188360 189280 189448 194480 195020 198055 199199 201110 201656 206960 207196 208208 209440 213290 214522 216580 217168 219895 220492 221221 222880 224224 227656 229840 230741 234065 235417 236810 238238 243760 244868 245168 247520 252070 252824 253526 258995 260260 260491 263704 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339557680 341101124 344795360 350161240 351133510 352183832 360780035 362542180 367013920 367339672 372631480 377096720 379274896 386246861 389829856 389952290 401295440 403715312 406104160 409894628 412320040 414333920 426376405 428947519 432164320 440229790 441424984 445659760 448233968 456473563 459174590 474093620 475380752 479941280 487287320 490225736 503119760 504644140 505092049 512368285 521684072 524770960 527935408 536016052 541821280 551781230 560292460 561813616 576736160 577248056 580067488 594225940 596926967 612782170 616321706 623923664 630607120 633473516 640334240 652105090 659919260 670020065 679115360 682202248 700322480 702267020 704367664 717315599 721560070 725084360 734679344 745262960 754193440 758549792 772493722 779904580 791841895 802590880 807430624 819789256 824640080 852752810 857895038 880459580 882849968 891319520 896467936 912947126 918349180 938028091 948187240 950761504 974574640 980451472 1006239520 1009288280 1010184098 1024736570 1043368144 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28692623960 30016898912 30899748880 31040202284 32830983185 34315801520 34841043380 35474516896 36517885040 37521123640 38800252855 40169673544 40407363920 44343146120 47754157360 48777460732 49305736480 50212091930 52529573096 55745669408 57385247920 60971825915 61799497760 62080404568 65661966370 68631603040 69682086760 73035770080 75042247280 77600505710 80339347088 80814727840 85360556281 88686292240 95508314720 97554921464 100424183860 105059146192 114770495840 121943651830 124160809136 131323932740 139364173520 150084494560 155201011420 160678694176 170721112562 177372584480 195109842928 200848367720 210118292384 243887303660 248321618272 262647865480 278728347040 310402022840 341442225124 390219685856 401696735440 426802781405 487774607320 525295730960 620804045680 682884450248 803393470880 853605562810 975549214640 1050591461920 1241608091360 1365768900496 1707211125620 1951098429280 2731537800992 3414422251240 6828844502480 13657689004960
- Sum of all divisors σ(n): 47352868012800
- Sum of proper divisors (its aliquot sum) s(n): 33695179007840
- 13657689004960 is an abundant number, because the sum of its proper divisors (33695179007840) is greater than itself. Its abundance is 20037490002880
Bases of 13657689004960
- Binary: 110001101011111011011011001110011011101000002
- Hexadecimal: 0xC6BEDB39BA0
- Base-36: 4UA97EHLS
Squares and roots of 13657689004960
- 13657689004960 squared (136576890049602) is 186532468956205274904601600
- 13657689004960 cubed (136576890049603) is 2547602450331207310829331485229223936000
-
The
square root of 13657689004960 is 3695631.0699202647 -
The
cube root of 13657689004960 is 23903.3666498895
Scales and comparisons
How big is 13657689004960?- 13,657,689,004,960 seconds is equal to 434,272 years, 13 weeks, 5 days, 5 hours, 22 minutes, 40 seconds.
-
To count from 1 to 13,657,689,004,960 would take you about one million, eighty-five thousand, six hundred eighty 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 13657689004960 cubic inches would be around 1991.9 feet tall.
Recreational maths with 13657689004960
- 13657689004960 backwards is 06940098675631
- The number of decimal digits it has is: 14
- The sum of 13657689004960's digits is 64
- More coming soon!
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"Number 13657689004960 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 13657689004960 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/13657689004960/
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The information we have on file for 13657689004960 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!
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