13829463648
13,829,463,648 is an even composite number composed of six prime numbers multiplied together.
13829463648 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 13829463648:
25 × 32 × 73 × 112 × 13 × 89
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 11 × 11 × 13 × 89)See below for interesting mathematical facts about the number 13829463648 from the Numbermatics database.
Names of 13829463648
- Cardinal: 13829463648 can be written as Thirteen billion, eight hundred twenty-nine million, four hundred sixty-three thousand, six hundred forty-eight.
Scientific notation
- Scientific notation: 1.3829463648 × 1010
Factors of 13829463648
Divisors of 13829463648
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 28 32 33 36 39 42 44 48 49 52 56 63 66 72 77 78 84 88 89 91 96 98 99 104 112 117 121 126 132 143 144 147 154 156 168 176 178 182 196 198 208 224 231 234 242 252 264 267 273 286 288 294 308 312 336 343 352 356 363 364 392 396 416 429 441 462 468 484 504 528 534 539 546 572 588 616 623 624 637 672 686 693 712 726 728 784 792 801 819 847 858 882 924 936 968 979 1001 1008 1029 1056 1068 1078 1089 1092 1144 1157 1176 1232 1246 1248 1274 1287 1372 1386 1424 1452 1456 1568 1573 1584 1602 1617 1638 1694 1716 1764 1848 1869 1872 1911 1936 1958 2002 2016 2058 2136 2156 2178 2184 2288 2314 2352 2464 2492 2541 2548 2574 2744 2772 2848 2904 2912 2937 3003 3087 3146 3168 3204 3234 3276 3388 3432 3471 3528 3696 3738 3744 3773 3822 3872 3916 4004 4116 4272 4312 4356 4361 4368 4459 4576 4628 4704 4719 4851 4984 5082 5096 5148 5488 5544 5607 5733 5808 5874 5929 6006 6174 6292 6408 6468 6552 6776 6853 6864 6942 7007 7056 7392 7476 7546 7623 7644 7832 8008 8099 8232 8544 8624 8712 8722 8736 8811 8918 9009 9256 9438 9702 9968 10164 10192 10296 10413 10769 10976 11011 11088 11214 11319 11466 11616 11748 11858 12012 12348 12584 12727 12816 12936 13083 13104 13377 13552 13706 13728 13884 14014 14112 14157 14952 15092 15246 15288 15664 16016 16198 16464 17248 17424 17444 17622 17787 17836 18018 18512 18876 19404 19936 20328 20384 20559 20592 20826 21021 21538 22022 22176 22428 22638 22932 23496 23716 24024 24297 24696 25168 25454 25632 25872 26166 26208 26754 27104 27412 27768 28028 28314 29904 30184 30492 30527 30576 31328 32032 32307 32396 32928 33033 33957 34848 34888 35244 35574 35672 36036 37024 37752 38181 38808 39249 40131 40656 41118 41184 41503 41652 42042 43076 44044 44856 45276 45864 46992 47432 47971 48048 48594 49049 49392 50336 50908 51744 52332 53361 53508 54824 55536 56056 56628 56693 59808 60368 60984 61054 61152 61677 63063 64614 64792 66066 67914 69776 70488 71148 71344 72072 72891 75383 75504 76362 77077 77616 78498 80262 81312 82236 83006 83304 84084 86152 88088 89089 89712 90552 91581 91728 93984 94864 95942 96096 96921 97188 98098 98784 99099 101816 104664 106722 107016 109648 111072 112112 113256 113386 114543 120736 121968 122108 123354 124509 126126 129228 129584 132132 135828 139552 139997 140976 142296 142688 143913 144144 145782 147147 150766 151008 152724 154154 155232 156996 160524 164472 166012 166608 168168 170079 172304 176176 178178 179424 181104 183162 183456 189728 191884 193842 194376 196196 198198 203632 209328 213444 214032 219296 224224 226149 226512 226772 229086 231231 243936 244216 246708 249018 252252 258456 259168 264264 267267 271656 274743 279994 281952 284592 287826 288288 291564 294294 301532 305448 308308 313992 321048 328944 332024 333216 335797 336336 340158 344608 352352 356356 362208 366324 373527 383768 387684 388752 392392 396396 396851 407264 418656 419991 426888 428064 431739 441441 452298 453024 453544 458172 462462 488432 493416 498036 504504 510237 516912 527681 528528 534534 539539 543312 549486 559988 569184 575652 583128 588588 603064 610896 616616 623623 627984 642096 657888 664048 671594 672672 678447 680316 693693 712712 732648 747054 767536 775368 777504 784784 792792 793702 801801 839982 853776 863478 882882 904596 907088 916344 924924 976864 979979 986832 996072 1007391 1009008 1020474 1033824 1055362 1057056 1069068 1079078 1086624 1098972 1119976 1151304 1166256 1177176 1190553 1206128 1221792 1233232 1247246 1255968 1259973 1284192 1328096 1343188 1356894 1360632 1387386 1425424 1465296 1494108 1535072 1550736 1569568 1583043 1585584 1587404 1603602 1618617 1679964 1707552 1726956 1765764 1809192 1814176 1832688 1849848 1870869 1959958 1973664 1992144 2014782 2018016 2040948 2110724 2138136 2158156 2197944 2239952 2302608 2332512 2354352 2381106 2412256 2466464 2494492 2519946 2686376 2713788 2721264 2774772 2850848 2930592 2939937 2988216 3022173 3101472 3166086 3171168 3174808 3207204 3237234 3359928 3453912 3531528 3571659 3618384 3665376 3693767 3699696 3741738 3919916 3984288 4029564 4081896 4221448 4276272 4316312 4365361 4395888 4479904 4605216 4708704 4749129 4762212 4855851 4988984 5039892 5372752 5427576 5442528 5549544 5612607 5879874 5976432 6044346 6332172 6349616 6414408 6474468 6719856 6859853 6907824 7063056 7143318 7236768 7387534 7399392 7483476 7839832 8059128 8163792 8442896 8552544 8632624 8730722 8791776 8819811 9498258 9524424 9711702 9977968 10079784 10745504 10855152 11081301 11099088 11225214 11759748 11952864 12088692 12664344 12699232 12828816 12948936 13096083 13439712 13719706 13815648 14126112 14286636 14775068 14966952 15679664 16118256 16327584 16885792 17265248 17461444 17639622 18996516 19048848 19423404 19955936 20159568 20579559 21710304 22162602 22198176 22450428 23519496 24177384 25328688 25657632 25897872 26192166 27439412 28573272 29550136 29933904 31359328 32236512 33243903 34922888 35279244 37993032 38097696 38846808 39288249 40319136 41159118 44325204 44900856 47038992 48018971 48354768 50657376 51795744 52384332 54878824 57146544 59100272 59867808 61738677 66487806 69845776 70558488 75986064 77693616 78576498 82318236 88650408 89801712 94077984 96037942 96709536 104768664 109757648 114293088 118200544 123477354 132975612 139691552 141116976 144056913 151972128 155387232 157152996 164636472 177300816 179603424 192075884 209537328 219515296 246954708 265951224 282233952 288113826 314305992 329272944 354601632 384151768 419074656 432170739 493909416 531902448 576227652 628611984 658545888 768303536 864341478 987818832 1063804896 1152455304 1257223968 1536607072 1728682956 1975637664 2304910608 3457365912 4609821216 6914731824 13829463648
- Sum of all divisors σ(n): 54899208000
- Sum of proper divisors (its aliquot sum) s(n): 41069744352
- 13829463648 is an abundant number, because the sum of its proper divisors (41069744352) is greater than itself. Its abundance is 27240280704
Bases of 13829463648
- Binary: 11001110000100110011011110011000002
- Hexadecimal: 0x3384CDE60
- Base-36: 6CPPEG0
Squares and roots of 13829463648
- 13829463648 squared (138294636482) is 191254064791353467904
- 13829463648 cubed (138294636483) is 2644941136564259489097102753792
-
The
square root of 13829463648 is 117598.7399932499 -
The
cube root of 13829463648 is 2400.3161416875
Scales and comparisons
How big is 13829463648?- 13,829,463,648 seconds is equal to 439 years, 38 weeks, 1 day, 5 hours, 40 minutes, 48 seconds.
-
To count from 1 to 13,829,463,648 would take you about eight hundred seventy-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 13829463648 cubic inches would be around 200 feet tall.
Recreational maths with 13829463648
- 13829463648 backwards is 84636492831
- The number of decimal digits it has is: 11
- The sum of 13829463648's digits is 54
- More coming soon!
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