146504412721512972
146,504,412,721,512,972 is an even composite number composed of five prime numbers multiplied together.
What does the number 146504412721512972 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1890 divisors.
146504412721512972 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, eight hundred ninety divisors.
Prime factorization of 146504412721512972:
22 × 39 × 76 × 412 × 972
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 7 × 7 × 7 × 41 × 41 × 97 × 97)See below for interesting mathematical facts about the number 146504412721512972 from the Numbermatics database.
Names of 146504412721512972
- Cardinal: 146504412721512972 can be written as One hundred forty-six quadrillion, five hundred four trillion, four hundred twelve billion, seven hundred twenty-one million, five hundred twelve thousand, nine hundred seventy-two.
Scientific notation
- Scientific notation: 1.46504412721512972 × 1017
Factors of 146504412721512972
Divisors of 146504412721512972
- Number of divisors d(n): 1890
-
Complete list of divisors:
1 2 3 4 6 7 9 12 14 18 21 27 28 36 41 42 49 54 63 81 82 84 97 98 108 123 126 147 162 164 189 194 196 243 246 252 287 291 294 324 343 369 378 388 441 486 492 567 574 582 588 679 686 729 738 756 861 873 882 972 1029 1107 1134 1148 1164 1323 1358 1372 1458 1476 1681 1701 1722 1746 1764 2009 2037 2058 2187 2214 2268 2401 2583 2619 2646 2716 2916 3087 3321 3362 3402 3444 3492 3969 3977 4018 4074 4116 4374 4428 4753 4802 5043 5103 5166 5238 5292 6027 6111 6174 6561 6642 6724 6804 7203 7749 7857 7938 7954 8036 8148 8748 9261 9409 9506 9604 9963 10086 10206 10332 10476 11767 11907 11931 12054 12222 12348 13122 13284 14063 14259 14406 15129 15309 15498 15714 15876 15908 16807 18081 18333 18522 18818 19012 19683 19926 20172 20412 21609 23247 23534 23571 23814 23862 24108 24444 26244 27783 27839 28126 28227 28518 28812 29889 30258 30618 30996 31428 33271 33614 35301 35721 35793 36162 36666 37044 37636 39366 39852 42189 42777 43218 45387 45927 46494 47068 47142 47628 47724 50421 54243 54999 55566 55678 56252 56454 57036 59778 60516 61236 64827 65863 66542 67228 69741 70602 70713 71442 71586 72324 73332 78732 82369 83349 83517 84378 84681 85554 86436 89667 90774 91854 92988 94284 98441 99813 100842 105903 107163 107379 108486 109998 111132 111356 112908 117649 119556 126567 128331 129654 131726 133084 136161 137781 139482 141204 141426 142884 143172 151263 162729 163057 164738 164997 166698 167034 168756 169362 171108 179334 181548 183708 194481 194873 196882 197589 199626 201684 209223 211806 212139 214326 214758 216972 219996 232897 235298 247107 250047 250551 253134 254043 256662 259308 263452 269001 272322 275562 278964 282852 295323 299439 302526 317709 321489 322137 325458 326114 329476 329994 333396 334068 338724 352947 358668 379701 384993 385769 388962 389746 393764 395178 399252 408483 418446 423612 424278 428652 429516 453789 461041 465794 470596 488187 489171 494214 494991 500094 501102 506268 508086 513324 538002 544644 551124 576583 583443 584619 590646 592767 598878 605052 627669 635418 636417 642978 644274 650916 652228 659988 689087 698691 705894 741321 750141 751653 759402 762129 769986 771538 777924 779492 790356 807003 816966 836892 848556 885969 898317 907578 922082 931588 953127 964467 966411 976374 978342 988428 989982 1000188 1002204 1016172 1058841 1076004 1139103 1141399 1153166 1154979 1157307 1166886 1169238 1181292 1185534 1197756 1225449 1255338 1270836 1272834 1285956 1288548 1361367 1364111 1378174 1383123 1397382 1411788 1464561 1467513 1482642 1484973 1500282 1503306 1518804 1524258 1539972 1543076 1614006 1630279 1633932 1729749 1750329 1753857 1771938 1778301 1796634 1815156 1844164 1883007 1906254 1909251 1928934 1932822 1952748 1956684 1979964 2067261 2096073 2117682 2223963 2250423 2254959 2278206 2282798 2286387 2306332 2309958 2314614 2333772 2338476 2371068 2450898 2510676 2545668 2657907 2694951 2700383 2722734 2728222 2756348 2766246 2794764 2859381 2899233 2929122 2935026 2965284 2969946 3000564 3006612 3048516 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20929201817358996 24417402120252162 36626103180378243 48834804240504324 73252206360756486 146504412721512972
- Sum of all divisors σ(n): 464661307772128236
- Sum of proper divisors (its aliquot sum) s(n): 318156895050615264
- 146504412721512972 is an abundant number, because the sum of its proper divisors (318156895050615264) is greater than itself. Its abundance is 171652482329102292
Bases of 146504412721512972
- Binary: 10000010000111110011111100101101100100101100000010000011002
- Hexadecimal: 0x2087CFCB64B020C
- Base-36: 142JHA2MJOR0
Squares and roots of 146504412721512972
- 146504412721512972 squared (1465044127215129722) is 21463542946875411947045896764272784
- 146504412721512972 cubed (1465044127215129723) is 3144503754354954125809450830099878422318647802554048
-
The
square root of 146504412721512972 is 382758948.5845013813 -
The
cube root of 146504412721512972 is 527169.4509400799
Scales and comparisons
How big is 146504412721512972?- 146,504,412,721,512,972 seconds is equal to 4,658,387,156 years, 33 weeks, 2 days, 12 hours, 16 minutes, 12 seconds.
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To count from 1 to 146,504,412,721,512,972 would take you about thirteen billion, nine hundred seventy-five million, one hundred sixty-one thousand, four hundred sixty-nine 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 146504412721512972 cubic inches would be around 43930.8 feet tall.
Recreational maths with 146504412721512972
- 146504412721512972 backwards is 279215127214405641
- 146504412721512972 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 146504412721512972's digits is 63
- More coming soon!
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The information we have on file for 146504412721512972 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!
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