400013385480748032
400,013,385,480,748,032 is an even composite number composed of five prime numbers multiplied together.
What does the number 400013385480748032 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 264 divisors.
400013385480748032 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixty-four divisors.
Prime factorization of 400013385480748032:
210 × 3 × 7 × 347 × 2315332
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 347 × 231533 × 231533)See below for interesting mathematical facts about the number 400013385480748032 from the Numbermatics database.
Names of 400013385480748032
- Cardinal: 400013385480748032 can be written as Four hundred quadrillion, thirteen trillion, three hundred eighty-five billion, four hundred eighty million, seven hundred forty-eight thousand and thirty-two.
Scientific notation
- Scientific notation: 4.00013385480748032 × 1017
Factors of 400013385480748032
Divisors of 400013385480748032
- Number of divisors d(n): 264
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 347 384 448 512 672 694 768 896 1024 1041 1344 1388 1536 1792 2082 2429 2688 2776 3072 3584 4164 4858 5376 5552 7168 7287 8328 9716 10752 11104 14574 16656 19432 21504 22208 29148 33312 38864 44416 58296 66624 77728 88832 116592 133248 155456 177664 231533 233184 266496 310912 355328 463066 466368 532992 621824 694599 926132 932736 1065984 1243648 1389198 1620731 1852264 1865472 2487296 2778396 3241462 3704528 3730944 4862193 5556792 6482924 7409056 7461888 9724386 11113584 12965848 14818112 19448772 22227168 25931696 29636224 38897544 44454336 51863392 59272448 77795088 80341951 88908672 103726784 118544896 155590176 160683902 177817344 207453568 237089792 241025853 311180352 321367804 355634688 414907136 482051706 562393657 622360704 642735608 711269376 829814272 964103412 1124787314 1244721408 1285471216 1659628544 1687180971 1928206824 2249574628 2489442816 2570942432 3374361942 3856413648 4499149256 4978885632 5141884864 6748723884 7712827296 8998298512 10283769728 13497447768 15425654592 17996597024 20567539456 26994895536 30851309184 35993194048 41135078912 53607530089 53989791072 61702618368 71986388096 82270157824 107215060178 107979582144 123405236736 143972776192 160822590267 214430120356 215959164288 246810473472 287945552384 321645180534 375252710623 428860240712 431918328576 575891104768 643290361068 750505421246 857720481424 863836657152 1125758131869 1286580722136 1501010842492 1715440962848 1727673314304 2251516263738 2573161444272 3002021684984 3430881925696 4503032527476 5146322888544 6004043369968 6861763851392 9006065054952 10292645777088 12008086739936 13723527702784 18012130109904 18601812940883 20585291554176 24016173479872 27447055405568 36024260219808 37203625881766 41170583108352 48032346959744 54894110811136 55805438822649 72048520439616 74407251763532 82341166216704 96064693919488 111610877645298 130212690586181 144097040879232 148814503527064 164682332433408 192129387838976 223221755290596 260425381172362 288194081758464 297629007054128 384258775677952 390638071758543 446443510581192 520850762344724 576388163516928 595258014108256 781276143517086 892887021162384 1041701524689448 1152776327033856 1190516028216512 1562552287034172 1785774042324768 2083403049378896 2381032056433024 3125104574068344 3571548084649536 4166806098757792 4762064112866048 6250209148136688 7143096169299072 8333612197515584 9524128225732096 12500418296273376 14286192338598144 16667224395031168 19048256451464192 25000836592546752 28572384677196288 33334448790062336 50001673185093504 57144769354392576 66668897580124672 100003346370187008 133337795160249344 200006692740374016 400013385480748032
- Sum of all divisors σ(n): 1222009940438841216
- Sum of proper divisors (its aliquot sum) s(n): 821996554958093184
- 400013385480748032 is an abundant number, because the sum of its proper divisors (821996554958093184) is greater than itself. Its abundance is 421983169477345152
Bases of 400013385480748032
- Binary: 101100011010010001000001110000000101111101100111100000000002
- Hexadecimal: 0x58D220E02FB3C00
- Base-36: 31EOWSEJOOAO
Squares and roots of 400013385480748032
- 400013385480748032 squared (4000133854807480322) is 160010708563769520455935310271873024
- 400013385480748032 cubed (4000133854807480323) is 64006425245766767478363170263651841752938581241888768
-
The
square root of 400013385480748032 is 632466114.0968328843 -
The
cube root of 400013385480748032 is 736814.5183918523
Scales and comparisons
How big is 400013385480748032?- 400,013,385,480,748,032 seconds is equal to 12,719,188,335 years, 33 weeks, 4 days, 7 hours, 47 minutes, 12 seconds.
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To count from 1 to 400,013,385,480,748,032 would take you about thirty-eight billion, one hundred fifty-seven million, five hundred sixty-five thousand and six 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 400013385480748032 cubic inches would be around 61401.2 feet tall.
Recreational maths with 400013385480748032
- 400013385480748032 backwards is 230847084583310004
- The number of decimal digits it has is: 18
- The sum of 400013385480748032's digits is 60
- More coming soon!
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