472148667120132
472,148,667,120,132 is an even composite number composed of five prime numbers multiplied together.
What does the number 472148667120132 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 324 divisors.
472148667120132 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty-four divisors.
Prime factorization of 472148667120132:
22 × 35 × 19 × 1272 × 12592
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 19 × 127 × 127 × 1259 × 1259)See below for interesting mathematical facts about the number 472148667120132 from the Numbermatics database.
Names of 472148667120132
- Cardinal: 472148667120132 can be written as Four hundred seventy-two trillion, one hundred forty-eight billion, six hundred sixty-seven million, one hundred twenty thousand, one hundred thirty-two.
Scientific notation
- Scientific notation: 4.72148667120132 × 1014
Factors of 472148667120132
Divisors of 472148667120132
- Number of divisors d(n): 324
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Complete list of divisors:
1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 127 162 171 228 243 254 324 342 381 486 508 513 684 762 972 1026 1143 1259 1524 1539 2052 2286 2413 2518 3078 3429 3777 4572 4617 4826 5036 6156 6858 7239 7554 9234 9652 10287 11331 13716 14478 15108 16129 18468 20574 21717 22662 23921 28956 30861 32258 33993 41148 43434 45324 47842 48387 61722 64516 65151 67986 71763 86868 95684 96774 101979 123444 130302 135972 143526 145161 159893 193548 195453 203958 215289 260604 287052 290322 305937 306451 319786 390906 407916 430578 435483 479679 580644 586359 611874 612902 639572 645867 781812 861156 870966 919353 959358 1172718 1223748 1225804 1291734 1306449 1439037 1585081 1741932 1838706 1918716 1937601 2345436 2583468 2612898 2758059 2878074 3037967 3170162 3677412 3875202 3919347 4317111 4755243 5225796 5516118 5756148 5812803 6075934 6340324 7750404 7838694 8274177 8634222 9113901 9510486 11032236 11625606 12151868 12951333 14265729 15677388 16548354 17268444 18227802 19020972 20306411 23251212 24822531 25902666 27341703 28531458 30116539 33096708 36455604 38853999 40612822 42797187 49645062 51805332 54683406 57062916 60233078 60919233 74467593 77707998 81225644 82025109 85594374 90349617 99290124 109366812 120466156 121838466 128391561 148935186 155415996 164050218 171188748 180699234 182757699 201305287 243676932 246075327 256783122 271048851 297870372 328100436 361398468 365515398 385174683 385821809 402610574 492150654 513566244 542097702 548273097 603915861 731030796 738225981 770349366 771643618 805221148 813146553 984301308 1084195404 1096546194 1157465427 1207831722 1476451962 1540698732 1543287236 1626293106 1644819291 1811747583 2193092388 2314930854 2415663444 2439439659 2952903924 3252586212 3289638582 3472396281 3623495166 3824800453 4629861708 4878879318 4934457873 5435242749 6579277164 6944792562 7246990332 7318318977 7649600906 9757758636 9868915746 10417188843 10870485498 11474401359 13889585124 14636637954 15299201812 16305728247 19737831492 20834377686 21740970996 22948802718 25565771449 29273275908 31251566529 32611456494 34423204077 41668755372 45897605436 48917184741 51131542898 62503133058 65222912988 68846408154 76697314347 93754699587 97834369482 102263085796 103269612231 125006266116 137692816308 153394628694 187509399174 195668738964 206539224462 230091943041 306789257388 309808836693 375018798348 413078448924 460183886082 485749657531 619617673386 690275829123 920367772164 929426510079 971499315062 1239235346772 1380551658246 1457248972593 1858853020158 1942998630124 2070827487369 2761103316492 2914497945186 3717706040316 4141654974738 4371746917779 5828995890372 6212482462107 8283309949476 8743493835558 12424964924214 13115240753337 17486987671116 24849929848428 26230481506674 39345722260011 52460963013348 78691444520022 118037166780033 157382889040044 236074333560066 472148667120132
- Sum of all divisors σ(n): 1314214861661520
- Sum of proper divisors (its aliquot sum) s(n): 842066194541388
- 472148667120132 is an abundant number, because the sum of its proper divisors (842066194541388) is greater than itself. Its abundance is 369917527421256
Bases of 472148667120132
- Binary: 11010110101101010101011011001010110111010000001002
- Hexadecimal: 0x1AD6AAD95BA04
- Base-36: 4ND23PVW90
Squares and roots of 472148667120132
- 472148667120132 squared (4721486671201322) is 222924363863317216342519697424
- 472148667120132 cubed (4721486671201323) is 105253441266668543573899314393644510098939968
-
The
square root of 472148667120132 is 21728982.1924574277 -
The
cube root of 472148667120132 is 77868.1020436215
Scales and comparisons
How big is 472148667120132?- 472,148,667,120,132 seconds is equal to 15,012,867 years, 8 weeks, 3 days, 5 hours, 22 minutes, 12 seconds.
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To count from 1 to 472,148,667,120,132 would take you about thirty-seven million, five hundred thirty-two thousand, one 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 472148667120132 cubic inches would be around 6489 feet tall.
Recreational maths with 472148667120132
- 472148667120132 backwards is 231021766841274
- 472148667120132 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 472148667120132's digits is 54
- More coming soon!
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