42428471506083117
42,428,471,506,083,117 is an odd composite number composed of five prime numbers multiplied together.
What does the number 42428471506083117 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1728 divisors.
42428471506083117 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 42428471506083117:
311 × 73 × 132 × 173 × 292
(3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 13 × 13 × 17 × 17 × 17 × 29 × 29)See below for interesting mathematical facts about the number 42428471506083117 from the Numbermatics database.
Names of 42428471506083117
- Cardinal: 42428471506083117 can be written as Forty-two quadrillion, four hundred twenty-eight trillion, four hundred seventy-one billion, five hundred six million, eighty-three thousand, one hundred seventeen.
Scientific notation
- Scientific notation: 4.2428471506083117 × 1016
Factors of 42428471506083117
Divisors of 42428471506083117
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 3 7 9 13 17 21 27 29 39 49 51 63 81 87 91 117 119 147 153 169 189 203 221 243 261 273 289 343 351 357 377 441 459 493 507 567 609 637 663 729 783 819 833 841 867 1029 1053 1071 1131 1183 1323 1377 1421 1479 1521 1547 1701 1827 1911 1989 2023 2187 2349 2457 2499 2523 2601 2639 2873 3087 3159 3213 3393 3451 3549 3757 3969 4131 4263 4437 4459 4563 4641 4901 4913 5103 5481 5733 5831 5887 5967 6069 6409 6561 7047 7371 7497 7569 7803 7917 8281 8381 8619 9261 9477 9639 9947 10179 10353 10647 10829 10933 11271 11907 12393 12789 13311 13377 13689 13923 14161 14297 14703 14739 15309 16443 17199 17493 17661 17901 18207 18473 19227 19683 20111 21141 22113 22491 22707 23409 23751 24157 24843 25143 25857 26299 27783 28431 28917 29841 30537 31059 31941 32487 32799 33813 34307 34391 35721 37179 38367 39933 40131 41067 41209 41769 42483 42891 44109 44217 44863 45927 48841 49329 51597 52479 52983 53703 54621 55419 57681 57967 58667 59049 60333 63423 63869 66339 67473 68121 70227 71253 72471 74529 75429 75803 76531 77571 78897 83317 83349 85293 86751 89523 91611 93177 95823 97461 98397 99127 100079 101439 102921 103173 107163 108953 111537 115101 119799 120393 123201 123627 125307 127449 128673 129311 132327 132651 134589 137781 140777 142129 142477 146523 147987 154791 157437 158949 161109 163863 166257 169099 173043 173901 176001 177147 180999 184093 185861 190269 191607 199017 202419 204363 210681 213759 217413 223587 226287 227409 229593 232713 236691 240149 240737 243049 249951 250047 255879 260253 268569 274833 279531 287469 288463 292383 295191 297381 300237 304317 308763 309519 314041 321489 326859 334611 341887 345303 359397 361179 369603 370881 375921 382347 386019 387933 396981 397953 403767 410669 413343 422331 426387 427431 439569 443961 447083 464373 472311 476847 483327 491589 498771 507297 519129 521703 528003 535717 542997 552279 557583 570807 574821 583219 597051 607257 613089 632043 641277 652239 670761 678861 682227 688779 698139 700553 710073 720447 722211 729147 749853 750141 762671 767637 780759 805707 824499 830297 838593 862407 865389 877149 885573 892143 900711 912951 926289 928557 942123 964467 980577 985439 994903 997339 1003833 1025661 1035909 1078191 1083537 1108809 1112643 1127763 1147041 1158057 1163799 1190943 1193859 1211301 1232007 1240029 1266993 1279161 1282293 1288651 1301027 1318707 1331883 1341249 1393119 1416389 1416933 1430541 1449981 1474767 1496313 1521891 1557387 1565109 1584009 1607151 1628991 1656837 1672749 1681043 1685159 1701343 1712421 1724463 1749657 1791153 1821771 1839267 1852201 1896129 1923831 1956717 2012283 2036583 2046681 2066337 2094417 2101659 2130219 2161341 2166633 2187441 2198287 2249559 2250423 2288013 2302911 2342277 2393209 2416193 2417121 2473497 2490891 2515779 2587221 2596167 2631447 2656719 2676429 2702133 2738853 2778867 2785671 2826369 2874683 2893401 2941731 2956317 2984709 2992017 3011499 3076983 3107727 3129581 3159637 3234573 3250611 3326427 3337929 3383289 3441123 3474171 3491397 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42428471506083117
- Sum of all divisors σ(n): 88434959820480000
- Sum of proper divisors (its aliquot sum) s(n): 46006488314396883
- 42428471506083117 is an abundant number, because the sum of its proper divisors (46006488314396883) is greater than itself. Its abundance is 3578016808313766
Bases of 42428471506083117
- Binary: 100101101011110001111000010101000111101110011101001011012
- Hexadecimal: 0x96BC78547B9D2D
- Base-36: BLRMYQ81TT9
Squares and roots of 42428471506083117
- 42428471506083117 squared (424284715060831172) is 1800175194342506962568335312435689
- 42428471506083117 cubed (424284715060831173) is 76378681939118694227565389532739030520141351162613
-
The
square root of 42428471506083117 is 205981726.1459936329 -
The
cube root of 42428471506083117 is 348780.7138149785
Scales and comparisons
How big is 42428471506083117?- 42,428,471,506,083,117 seconds is equal to 1,349,094,154 years, 5 days, 3 hours, 31 minutes, 57 seconds.
-
To count from 1 to 42,428,471,506,083,117 would take you about four billion, forty-seven million, two hundred eighty-two thousand, four hundred sixty-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 42428471506083117 cubic inches would be around 29065.1 feet tall.
Recreational maths with 42428471506083117
- 42428471506083117 backwards is 71138060517482424
- 42428471506083117 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42428471506083117's digits is 63
- More coming soon!
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Cite this page
MLA style:
"Number 42428471506083117 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
APA style:
Numbermatics. (2024). Number 42428471506083117 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/42428471506083117/
Chicago style:
Numbermatics. 2024. "Number 42428471506083117 - Facts about the integer". https://numbermatics.com/n/42428471506083117/
The information we have on file for 42428471506083117 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 42428471506083117, math, Factors of 42428471506083117, curriculum, school, college, exams, university, Prime factorization of 42428471506083117, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, four hundred twenty-eight trillion, four hundred seventy-one billion, five hundred six million, eighty-three thousand, one hundred seventeen.