3438245457920
3,438,245,457,920 is an even composite number composed of six prime numbers multiplied together.
What does the number 3438245457920 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 624 divisors.
3438245457920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred twenty-four divisors.
Prime factorization of 3438245457920:
212 × 5 × 7 × 132 × 191 × 743
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 13 × 13 × 191 × 743)See below for interesting mathematical facts about the number 3438245457920 from the Numbermatics database.
Names of 3438245457920
- Cardinal: 3438245457920 can be written as Three trillion, four hundred thirty-eight billion, two hundred forty-five million, four hundred fifty-seven thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 3.43824545792 × 1012
Factors of 3438245457920
Divisors of 3438245457920
- Number of divisors d(n): 624
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 128 130 140 160 169 182 191 208 224 256 260 280 320 338 364 382 416 448 455 512 520 560 640 676 728 743 764 832 845 896 910 955 1024 1040 1120 1183 1280 1337 1352 1456 1486 1528 1664 1690 1792 1820 1910 2048 2080 2240 2366 2483 2560 2674 2704 2912 2972 3056 3328 3380 3584 3640 3715 3820 4096 4160 4480 4732 4966 5120 5201 5348 5408 5824 5915 5944 6112 6656 6685 6760 7168 7280 7430 7640 8320 8960 9464 9659 9932 10240 10402 10696 10816 11648 11830 11888 12224 12415 13312 13370 13520 14336 14560 14860 15280 16640 17381 17920 18928 19318 19864 20480 20804 21392 21632 23296 23660 23776 24448 24830 26005 26624 26740 27040 28672 29120 29720 30560 32279 33280 34762 35840 37856 38636 39728 41608 42784 43264 46592 47320 47552 48295 48896 49660 52010 53248 53480 54080 58240 59440 61120 64558 66560 67613 69524 71680 75712 77272 79456 83216 85568 86528 86905 93184 94640 95104 96590 97792 99320 104020 106960 108160 116480 118880 122240 125567 129116 133120 135226 139048 141913 143360 151424 154544 158912 161395 166432 171136 173056 173810 186368 189280 190208 193180 195584 198640 208040 213920 216320 225953 232960 237760 244480 251134 258232 266240 270452 278096 283826 302848 309088 317824 322790 332864 338065 342272 346112 347620 372736 378560 380416 386360 391168 397280 416080 427840 432640 451906 465920 475520 488960 502268 516464 540904 556192 567652 605696 618176 627835 635648 645580 665728 676130 684544 692224 695240 709565 757120 760832 772720 782336 794560 832160 855680 865280 878969 903812 931840 951040 977920 993391 1004536 1032928 1081808 1112384 1129765 1135304 1211392 1236352 1255670 1271296 1291160 1331456 1352260 1369088 1390480 1419130 1514240 1521664 1545440 1589120 1664320 1711360 1730560 1757938 1807624 1844869 1863680 1902080 1955840 1986782 2009072 2065856 2163616 2224768 2259530 2270608 2422784 2472704 2511340 2542592 2582320 2662912 2704520 2738176 2780960 2838260 3028480 3043328 3090880 3178240 3328640 3422720 3461120 3515876 3615248 3689738 3804160 3911680 3973564 4018144 4131712 4327232 4394845 4449536 4519060 4541216 4845568 4945408 4966955 5022680 5085184 5164640 5325824 5409040 5476352 5561920 5676520 6056960 6181760 6356480 6657280 6845440 7031752 7230496 7379476 7608320 7947128 8036288 8263424 8654464 8789690 8899072 9038120 9082432 9224345 9890816 9933910 10045360 10170368 10329280 10651648 10818080 11123840 11353040 12113920 12363520 12712960 12914083 13314560 13690880 14063504 14460992 14758952 15216640 15894256 16072576 16526848 17308928 17579380 17798144 18076240 18164864 18448690 19781632 19867820 20090720 20658560 21303296 21636160 22247680 22706080 23983297 24227840 24727040 25425920 25828166 26629120 27381760 28127008 28921984 29517904 31788512 32145152 33053696 34617856 35158760 35596288 36152480 36329728 36897380 39563264 39735640 40181440 41317120 43272320 44495360 45412160 47966594 49454080 50851840 51656332 53258240 56254016 57843968 59035808 63577024 64290304 64570415 66107392 69235712 70317520 71192576 72304960 72659456 73794760 79471280 80362880 82634240 86544640 88990720 90824320 95933188 98908160 103312664 106516480 112508032 115687936 118071616 119916485 127154048 128580608 129140830 132214784 138471424 140635040 144609920 145318912 147589520 158942560 160725760 165268480 167883079 173089280 177981440 181648640 191866376 197816320 206625328 225016064 231375872 236143232 239832970 254308096 257161216 258281660 276942848 281270080 289219840 290637824 295179040 317885120 321451520 330536960 335766158 346178560 355962880 363297280 383732752 413250656 450032128 462751744 472286464 479665940 508616192 514322432 516563320 562540160 578439680 581275648 590358080 635770240 642903040 661073920 671532316 692357120 726594560 767465504 826501312 839415395 900064256 925503488 944572928 959331880 1017232384 1033126640 1125080320 1156879360 1180716160 1271540480 1285806080 1343064632 1384714240 1453189120 1534931008 1653002624 1678830790 1800128512 1889145856 1918663760 2034464768 2066253280 2250160640 2313758720 2361432320 2543080960 2571612160 2686129264 2906378240 3069862016 3306005248 3357661580 3600257024 3778291712 3837327520 4068929536 4132506560 4500321280 4627517440 4722864640 5086161920 5372258528 6139724032 6612010496 6715323160 7556583424 7674655040 8265013120 9000642560 9445729280 10172323840 10744517056 12279448064 13224020992 13430646320 15349310080 16530026240 18001285120 18891458560 20344647680 21489034112 24558896128 26448041984 26861292640 30698620160 33060052480 37782917120 42978068224 49117792256 52896083968 53722585280 61397240320 66120104960 85956136448 98235584512 107445170560 122794480640 132240209920 171912272896 214890341120 245588961280 264480419840 343824545792 429780682240 491177922560 687649091584 859561364480 1719122728960 3438245457920
- Sum of all divisors σ(n): 10277877030912
- Sum of proper divisors (its aliquot sum) s(n): 6839631572992
- 3438245457920 is an abundant number, because the sum of its proper divisors (6839631572992) is greater than itself. Its abundance is 3401386115072
Bases of 3438245457920
- Binary: 1100100000100001110110011000110000000000002
- Hexadecimal: 0x32087663000
- Base-36: 17VIAKMBK
Squares and roots of 3438245457920
- 3438245457920 squared (34382454579202) is 11821531828907510490726400
- 3438245457920 cubed (34382454579203) is 40645328116397958500514795081433088000
-
The
square root of 3438245457920 is 1854250.6459268121 -
The
cube root of 3438245457920 is 15093.1177178999
Scales and comparisons
How big is 3438245457920?- 3,438,245,457,920 seconds is equal to 109,325 years, 29 weeks, 4 days, 14 hours, 45 minutes, 20 seconds.
-
To count from 1 to 3,438,245,457,920 would take you about two hundred seventy-three thousand, three hundred thirteen 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 3438245457920 cubic inches would be around 1257.8 feet tall.
Recreational maths with 3438245457920
- 3438245457920 backwards is 0297545428343
- 3438245457920 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 3438245457920's digits is 56
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 3438245457920 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
APA style:
Numbermatics. (2024). Number 3438245457920 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/3438245457920/
Chicago style:
Numbermatics. 2024. "Number 3438245457920 - Facts about the integer". https://numbermatics.com/n/3438245457920/
The information we have on file for 3438245457920 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 3438245457920, math, Factors of 3438245457920, curriculum, school, college, exams, university, Prime factorization of 3438245457920, STEM, science, technology, engineering, physics, economics, calculator, three trillion, four hundred thirty-eight billion, two hundred forty-five million, four hundred fifty-seven thousand, nine hundred twenty.