146491131072
146,491,131,072 is an even composite number composed of seven prime numbers multiplied together.
146491131072 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 146491131072:
26 × 3 × 11 × 13 × 47 × 61 × 1861
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 13 × 47 × 61 × 1861)See below for interesting mathematical facts about the number 146491131072 from the Numbermatics database.
Names of 146491131072
- Cardinal: 146491131072 can be written as One hundred forty-six billion, four hundred ninety-one million, one hundred thirty-one thousand and seventy-two.
Scientific notation
- Scientific notation: 1.46491131072 × 1011
Factors of 146491131072
Divisors of 146491131072
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 47 48 52 61 64 66 78 88 94 96 104 122 132 141 143 156 176 183 188 192 208 244 264 282 286 312 352 366 376 416 429 488 517 528 564 572 611 624 671 704 732 752 793 832 858 976 1034 1056 1128 1144 1222 1248 1342 1464 1504 1551 1586 1716 1833 1861 1952 2013 2068 2112 2256 2288 2379 2444 2496 2684 2867 2928 3008 3102 3172 3432 3666 3722 3904 4026 4136 4512 4576 4758 4888 5368 5583 5734 5856 6204 6344 6721 6864 7332 7444 8052 8272 8601 8723 9024 9152 9516 9776 10736 11166 11468 11712 12408 12688 13442 13728 14664 14888 16104 16544 17202 17446 19032 19552 20163 20471 21472 22332 22936 24193 24816 25376 26169 26884 27456 29328 29776 31537 32208 33088 34404 34892 37271 38064 39104 40326 40942 42944 44664 45872 48386 49632 50752 52338 53768 58656 59552 61413 63074 64416 68808 69784 72579 74542 76128 80652 81884 87467 89328 91744 94611 96772 99264 104676 107536 111813 113521 117312 119104 122826 126148 128832 137616 139568 145158 149084 152256 161304 163768 174934 178656 183488 189222 193544 209352 215072 223626 227042 245652 252296 262401 266123 275232 279136 290316 298168 322608 327536 340563 349868 357312 378444 387088 409981 418704 430144 447252 454084 491304 504592 524802 532246 550464 558272 580632 596336 645216 655072 681126 699736 756888 774176 798369 819962 837408 894504 908168 962137 982608 1009184 1049604 1064492 1137071 1161264 1192672 1229943 1248731 1290432 1310144 1362252 1399472 1475773 1513776 1548352 1596738 1639924 1674816 1789008 1816336 1924274 1965216 2018368 2099208 2128984 2274142 2322528 2385344 2459886 2497462 2724504 2798944 2886411 2951546 3027552 3193476 3279848 3411213 3578016 3632672 3746193 3848548 3930432 4198416 4257968 4427319 4548284 4645056 4919772 4994924 5335487 5449008 5597888 5772822 5903092 6055104 6386952 6559696 6822426 7156032 7265344 7492386 7697096 8396832 8515936 8854638 9096568 9839544 9989848 10670974 10898016 11545644 11806184 12507781 12773904 13119392 13644852 14984772 15394192 16006461 16233503 16793664 17031872 17709276 18193136 19679088 19979696 21341948 21796032 23091288 23612368 25015562 25547808 26238784 27289704 29969544 30788384 32012922 32467006 35418552 36386272 37523343 39358176 39959392 42683896 46182576 47224736 48700509 50031124 51095616 54579408 58690357 59939088 61576768 64025844 64934012 69361331 70837104 72772544 75046686 78716352 79918784 85367792 92365152 94449472 97401018 100062248 109158816 117380714 119878176 128051688 129868024 138722662 141674208 150093372 170735584 176071071 184730304 194802036 200124496 208083993 218317632 234761428 239756352 256103376 259736048 277445324 283348416 300186744 341471168 352142142 389604072 400248992 416167986 469522856 512206752 519472096 554890648 600373488 704284284 762974641 779208144 800497984 832335972 939045712 1024413504 1038944192 1109781296 1200746976 1408568568 1525949282 1558416288 1664671944 1878091424 2219562592 2288923923 2401493952 2817137136 3051898564 3116832576 3329343888 3756182848 4439125184 4577847846 5634274272 6103797128 6658687776 9155695692 11268548544 12207594256 13317375552 18311391384 24415188512 36622782768 48830377024 73245565536 146491131072
- Sum of all divisors σ(n): 472917731328
- Sum of proper divisors (its aliquot sum) s(n): 326426600256
- 146491131072 is an abundant number, because the sum of its proper divisors (326426600256) is greater than itself. Its abundance is 179935469184
Bases of 146491131072
- Binary: 100010000110111000110101000100110000002
- Hexadecimal: 0x221B8D44C0
- Base-36: 1VAP1C5C
Squares and roots of 146491131072
- 146491131072 squared (1464911310722) is 21459651482753883869184
- 146491131072 cubed (1464911310723) is 3143648618119538349397699845685248
-
The
square root of 146491131072 is 382741.5983036075 -
The
cube root of 146491131072 is 5271.5351992627
Scales and comparisons
How big is 146491131072?- 146,491,131,072 seconds is equal to 4,657 years, 50 weeks, 1 day, 4 hours, 51 minutes, 12 seconds.
-
To count from 1 to 146,491,131,072 would take you about nine thousand, three hundred fifteen 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 146491131072 cubic inches would be around 439.3 feet tall.
Recreational maths with 146491131072
- 146491131072 backwards is 270131194641
- 146491131072 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 146491131072's digits is 39
- More coming soon!
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