3427284148704
3,427,284,148,704 is an even composite number composed of six prime numbers multiplied together.
What does the number 3427284148704 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 480 divisors.
3427284148704 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 3427284148704:
25 × 34 × 13 × 31 × 43 × 76303
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 13 × 31 × 43 × 76303)See below for interesting mathematical facts about the number 3427284148704 from the Numbermatics database.
Names of 3427284148704
- Cardinal: 3427284148704 can be written as Three trillion, four hundred twenty-seven billion, two hundred eighty-four million, one hundred forty-eight thousand, seven hundred four.
Scientific notation
- Scientific notation: 3.427284148704 × 1012
Factors of 3427284148704
Divisors of 3427284148704
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 31 32 36 39 43 48 52 54 62 72 78 81 86 93 96 104 108 117 124 129 144 156 162 172 186 208 216 234 248 258 279 288 312 324 344 351 372 387 403 416 432 468 496 516 558 559 624 648 688 702 744 774 806 837 864 936 992 1032 1053 1116 1118 1161 1209 1248 1296 1333 1376 1404 1488 1548 1612 1674 1677 1872 2064 2106 2232 2236 2322 2418 2511 2592 2666 2808 2976 3096 3224 3348 3354 3483 3627 3744 3999 4128 4212 4464 4472 4644 4836 5022 5031 5332 5616 6192 6448 6696 6708 6966 7254 7998 8424 8928 8944 9288 9672 10044 10062 10664 10881 11232 11997 12384 12896 13392 13416 13932 14508 15093 15996 16848 17329 17888 18576 19344 20088 20124 21328 21762 23994 26784 26832 27864 29016 30186 31992 32643 33696 34658 35991 37152 38688 40176 40248 42656 43524 45279 47988 51987 53664 55728 58032 60372 63984 65286 69316 71982 76303 80352 80496 87048 90558 95976 103974 107973 111456 116064 120744 127968 130572 138632 143964 152606 155961 160992 174096 181116 191952 207948 215946 228909 241488 261144 277264 287928 305212 311922 348192 362232 383904 415896 431892 457818 467883 482976 522288 554528 575856 610424 623844 686727 724464 831792 863784 915636 935766 991939 1044576 1151712 1220848 1247688 1373454 1403649 1448928 1663584 1727568 1831272 1871532 1983878 2060181 2365393 2441696 2495376 2746908 2807298 2975817 3281029 3455136 3662544 3743064 3967756 4120362 4730786 4990752 5493816 5614596 5951634 6180543 6562058 7096179 7325088 7486128 7935512 8240724 8927451 9461572 9843087 10987632 11229192 11903268 12361086 13124116 14192358 14972256 15871024 16481448 17854902 18923144 19686174 21288537 21975264 22458384 23806536 24722172 26248232 26782353 28384716 29529261 30750109 31742048 32962896 35709804 37846288 39372348 42577074 42653377 44916768 47613072 49444344 52496464 53564706 56769432 59058522 61500218 63865611 65925792 71419608 75692576 78744696 80347059 85154148 85306754 88587783 92250327 95226144 98888688 101711899 104992928 107129412 113538864 118117044 123000436 127731222 127960131 142839216 157489392 160694118 170308296 170613508 177175566 184500654 191596833 197777376 203423798 214258824 227077728 236234088 246000872 255462444 255920262 265763349 276750981 285678432 305135697 314978784 321388236 340616592 341227016 354351132 369001308 383193666 383880393 406847596 428517648 472468176 492001744 510924888 511840524 531526698 553501962 610271394 642776472 681233184 682454032 708702264 738002616 766387332 767760786 813695192 830252943 857035296 915407091 944936352 984003488 1021849776 1023681048 1063053396 1107003924 1151641179 1220542788 1285552944 1322254687 1364908064 1417404528 1476005232 1532774664 1535521572 1627390384 1660505886 1830814182 2043699552 2047362096 2126106792 2214007848 2303282358 2441085576 2490758829 2571105888 2644509374 2746221273 2834809056 2952010464 3065549328 3071043144 3254780768 3321011772 3454923537 3661628364 3966764061 4094724192 4252213584 4428015696 4606564716 4882171152 4981517658 5289018748 5492442546 6131098656 6142086288 6642023544 6909847074 7323256728 7933528122 8238663819 8504427168 8856031392 9213129432 9764342304 9963035316 10578037496 10984885092 11900292183 12284172576 13284047088 13819694148 14646513456 15867056244 16477327638 18426258864 19926070632 21156074992 21969770184 23800584366 26568094176 27639388296 29293026912 31734112488 32954655276 35700876549 36852517728 39852141264 42312149984 43939540368 47601168732 55278776592 63468224976 65909310552 71401753098 79704282528 87879080736 95202337464 107102629647 110557553184 126936449952 131818621104 142803506196 190404674928 214205259294 263637242208 285607012392 380809349856 428410518588 571214024784 856821037176 1142428049568 1713642074352 3427284148704
- Sum of all divisors σ(n): 11465788207104
- Sum of proper divisors (its aliquot sum) s(n): 8038504058400
- 3427284148704 is an abundant number, because the sum of its proper divisors (8038504058400) is greater than itself. Its abundance is 4611219909696
Bases of 3427284148704
- Binary: 1100011101111110100000110111100001111000002
- Hexadecimal: 0x31DFA0DE1E0
- Base-36: 17QH0HQ00
Squares and roots of 3427284148704
- 3427284148704 squared (34272841487042) is 11746276635957701984879616
- 3427284148704 cubed (34272841487043) is 40257827720709977563000265802482417664
-
The
square root of 3427284148704 is 1851292.5616185033 -
The
cube root of 3427284148704 is 15077.0614225915
Scales and comparisons
How big is 3427284148704?- 3,427,284,148,704 seconds is equal to 108,977 years, 1 week, 5 days, 14 hours, 38 minutes, 24 seconds.
-
To count from 1 to 3,427,284,148,704 would take you about two hundred seventy-two thousand, four hundred forty-two 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 3427284148704 cubic inches would be around 1256.4 feet tall.
Recreational maths with 3427284148704
- 3427284148704 backwards is 4078414827243
- 3427284148704 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 3427284148704's digits is 54
- More coming soon!
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