442172889777072
442,172,889,777,072 is an even composite number composed of five prime numbers multiplied together.
What does the number 442172889777072 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 270 divisors.
442172889777072 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred seventy divisors.
Prime factorization of 442172889777072:
24 × 3 × 192 × 312 × 51532
(2 × 2 × 2 × 2 × 3 × 19 × 19 × 31 × 31 × 5153 × 5153)See below for interesting mathematical facts about the number 442172889777072 from the Numbermatics database.
Names of 442172889777072
- Cardinal: 442172889777072 can be written as Four hundred forty-two trillion, one hundred seventy-two billion, eight hundred eighty-nine million, seven hundred seventy-seven thousand and seventy-two.
Scientific notation
- Scientific notation: 4.42172889777072 × 1014
Factors of 442172889777072
Divisors of 442172889777072
- Number of divisors d(n): 270
-
Complete list of divisors:
1 2 3 4 6 8 12 16 19 24 31 38 48 57 62 76 93 114 124 152 186 228 248 304 361 372 456 496 589 722 744 912 961 1083 1178 1444 1488 1767 1922 2166 2356 2883 2888 3534 3844 4332 4712 5153 5766 5776 7068 7688 8664 9424 10306 11191 11532 14136 15376 15459 17328 18259 20612 22382 23064 28272 30918 33573 36518 41224 44764 46128 54777 61836 67146 73036 82448 89528 97907 109554 123672 134292 146072 159743 179056 195814 219108 247344 268584 292144 293721 319486 346921 391628 438216 479229 537168 587442 638972 693842 783256 876432 958458 1040763 1174884 1277944 1387684 1566512 1860233 1916916 2081526 2349768 2555888 2775368 3035117 3720466 3833832 4163052 4699536 4952033 5550736 5580699 6070234 7440932 7667664 8326104 9105351 9904066 11161398 12140468 14856099 14881864 16652208 18210702 19808132 22322796 24280936 26553409 29712198 29763728 36421404 39616264 44645592 48561872 53106818 57667223 59424396 72842808 79232528 79660227 89291184 94088627 106213636 115334446 118848792 145685616 159320454 173001669 188177254 212427272 230668892 237697584 282265881 318640908 346003338 376354508 424854544 461337784 504514771 564531762 637281816 692006676 752709016 823155679 922675568 1009029542 1129063524 1274563632 1384013352 1505418032 1513544313 1646311358 1787683913 2018059084 2258127048 2469467037 2768026704 3027088626 3292622716 3575367826 4036118168 4516254096 4938934074 5363051739 6054177252 6585245432 7150735652 8072236336 9585780649 9877868148 10726103478 12108354504 13170490864 14301471304 15639957901 19171561298 19755736296 21452206956 24216709008 25517826049 28602942608 28757341947 31279915802 38343122596 39511472592 42904413912 46919873703 51035652098 57514683894 62559831604 76553478147 76686245192 85808827824 93839747406 102071304196 115029367788 125119663208 153106956294 153372490384 187679494812 204142608392 230058735576 250239326416 297159200119 306213912588 375358989624 408285216784 460117471152 484838694931 594318400238 612427825176 750717979248 891477600357 969677389862 1188636800476 1224855650352 1454516084793 1782955200714 1939354779724 2377273600952 2909032169586 3565910401428 3878709559448 4754547201904 5818064339172 7131820802856 7757419118896 9211935203689 11636128678344 14263641605712 18423870407378 23272257356688 27635805611067 36847740814756 55271611222134 73695481629512 110543222444268 147390963259024 221086444888536 442172889777072
- Sum of all divisors σ(n): 1245949621119396
- Sum of proper divisors (its aliquot sum) s(n): 803776731342324
- 442172889777072 is an abundant number, because the sum of its proper divisors (803776731342324) is greater than itself. Its abundance is 361603841565252
Bases of 442172889777072
- Binary: 11001001000100111011001100000011001000011101100002
- Hexadecimal: 0x19227660643B0
- Base-36: 4CQJF609TC
Squares and roots of 442172889777072
- 442172889777072 squared (4421728897770722) is 195516864453806664005856893184
- 442172889777072 cubed (4421728897770723) is 86452256955691780565770507392092916276277248
-
The
square root of 442172889777072 is 21027907.4036641125 -
The
cube root of 442172889777072 is 76184.0466562607
Scales and comparisons
How big is 442172889777072?- 442,172,889,777,072 seconds is equal to 14,059,730 years, 8 weeks, 3 days, 19 hours, 51 minutes, 12 seconds.
-
To count from 1 to 442,172,889,777,072 would take you about thirty-five million, one hundred forty-nine thousand, three hundred twenty-five 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 442172889777072 cubic inches would be around 6348.7 feet tall.
Recreational maths with 442172889777072
- 442172889777072 backwards is 270777988271244
- The number of decimal digits it has is: 15
- The sum of 442172889777072's digits is 75
- More coming soon!
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