138435701233440
138,435,701,233,440 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138435701233440 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 384 divisors.
138435701233440 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138435701233440:
25 × 3 × 5 × 13 × 193 × 877 × 131071
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 193 × 877 × 131071)See below for interesting mathematical facts about the number 138435701233440 from the Numbermatics database.
Names of 138435701233440
- Cardinal: 138435701233440 can be written as One hundred thirty-eight trillion, four hundred thirty-five billion, seven hundred one million, two hundred thirty-three thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3843570123344 × 1014
Factors of 138435701233440
Divisors of 138435701233440
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 193 195 208 240 260 312 386 390 416 480 520 579 624 772 780 877 965 1040 1158 1248 1544 1560 1754 1930 2080 2316 2509 2631 2895 3088 3120 3508 3860 4385 4632 5018 5262 5790 6176 6240 7016 7527 7720 8770 9264 10036 10524 11401 11580 12545 13155 14032 15054 15440 17540 18528 20072 21048 22802 23160 25090 26310 28064 30108 30880 34203 35080 37635 40144 42096 45604 46320 50180 52620 57005 60216 68406 70160 75270 80288 84192 91208 92640 100360 105240 114010 120432 131071 136812 140320 150540 169261 171015 182416 200720 210480 228020 240864 262142 273624 301080 338522 342030 364832 393213 401440 420960 456040 507783 524284 547248 602160 655355 677044 684060 786426 846305 912080 1015566 1048568 1094496 1204320 1310710 1354088 1368120 1572852 1692610 1703923 1824160 1966065 2031132 2097136 2200393 2538915 2621420 2708176 2736240 3145704 3385220 3407846 3932130 4062264 4194272 4400786 5077830 5111769 5242840 5416352 5472480 6291408 6601179 6770440 6815692 7864260 8124528 8519615 8801572 10155660 10223538 10485680 11001965 12582816 13202358 13540880 13631384 15728520 16249056 17039230 17603144 20311320 20447076 20971360 22003930 25296703 25558845 26404716 27081760 27262768 31457040 33005895 34078460 35206288 40622640 40894152 44007860 50593406 51117690 52809432 54525536 62914080 66011790 68156920 70412576 75890109 81245280 81788304 88015720 101186812 102235380 105618864 114949267 126483515 132023580 136313840 151780218 163576608 176031440 202373624 204470760 211237728 229898534 252967030 264047160 272627680 303560436 328857139 344847801 352062880 379450545 404747248 408941520 459797068 505934060 528094320 574746335 607120872 657714278 689695602 758901090 809494496 817883040 919594136 986571417 1011868120 1056188640 1149492670 1214241744 1315428556 1379391204 1494340471 1517802180 1644285695 1724239005 1839188272 1973142834 2023736240 2298985340 2428483488 2630857112 2758782408 2988680942 3035604360 3288571390 3448478010 3678376544 3946285668 4047472480 4483021413 4597970680 4932857085 5261714224 5517564816 5977361884 6071208720 6577142780 6896956020 7471702355 7892571336 8966042826 9195941360 9865714170 10523428448 11035129632 11954723768 12142417440 13154285560 13793912040 14943404710 15785142672 17932085652 18391882720 19731428340 22185208531 22415107065 23909447536 26308571120 27587824080 29886809420 31570285344 35864171304 39462856680 44370417062 44830214130 47818895072 52617142240 55175648160 59773618840 66555625593 71728342608 78925713360 88740834124 89660428260 110926042655 119547237680 133111251186 143456685216 157851426720 177481668248 179320856520 221852085310 239094475360 266222502372 288407710903 332778127965 354963336496 358641713040 443704170620 532445004744 576815421806 665556255930 709926672992 717283426080 865223132709 887408341240 1064890009488 1153630843612 1331112511860 1442038554515 1730446265418 1774816682480 2129780018976 2307261687224 2662225023720 2884077109030 3460892530836 3549633364960 4326115663545 4614523374448 5324450047440 5768154218060 6921785061672 8652231327090 9229046748896 10648900094880 11536308436120 13843570123344 17304462654180 23072616872240 27687140246688 34608925308360 46145233744480 69217850616720 138435701233440
- Sum of all divisors σ(n): 472591600975872
- Sum of proper divisors (its aliquot sum) s(n): 334155899742432
- 138435701233440 is an abundant number, because the sum of its proper divisors (334155899742432) is greater than itself. Its abundance is 195720198508992
Bases of 138435701233440
- Binary: 111110111101000000100101100101111010111001000002
- Hexadecimal: 0x7DE812CBD720
- Base-36: 1D2KHE7KTC
Squares and roots of 138435701233440
- 138435701233440 squared (1384357012334402) is 19164443375994261137374233600
- 138435701233440 cubed (1384357012334403) is 2653043157504319774221559647662394691584000
-
The
square root of 138435701233440 is 11765870.1859845453 -
The
cube root of 138435701233440 is 51730.8206812901
Scales and comparisons
How big is 138435701233440?- 138,435,701,233,440 seconds is equal to 4,401,827 years, 4 weeks, 4 days, 13 hours, 44 minutes.
-
To count from 1 to 138,435,701,233,440 would take you about eleven million, four thousand, five hundred sixty-seven 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 138435701233440 cubic inches would be around 4310.9 feet tall.
Recreational maths with 138435701233440
- 138435701233440 backwards is 044332107534831
- 138435701233440 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138435701233440's digits is 48
- 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 138435701233440 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
APA style:
Numbermatics. (2024). Number 138435701233440 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/138435701233440/
Chicago style:
Numbermatics. 2024. "Number 138435701233440 - Facts about the integer". https://numbermatics.com/n/138435701233440/
The information we have on file for 138435701233440 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 138435701233440, math, Factors of 138435701233440, curriculum, school, college, exams, university, Prime factorization of 138435701233440, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, four hundred thirty-five billion, seven hundred one million, two hundred thirty-three thousand, four hundred forty.