142146507648
142,146,507,648 is an even composite number composed of seven prime numbers multiplied together.
142146507648 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred twelve divisors.
Prime factorization of 142146507648:
27 × 3 × 29 × 37 × 43 × 71 × 113
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 29 × 37 × 43 × 71 × 113)See below for interesting mathematical facts about the number 142146507648 from the Numbermatics database.
Names of 142146507648
- Cardinal: 142146507648 can be written as One hundred forty-two billion, one hundred forty-six million, five hundred seven thousand, six hundred forty-eight.
Scientific notation
- Scientific notation: 1.42146507648 × 1011
Factors of 142146507648
Divisors of 142146507648
- Number of divisors d(n): 512
-
Complete list of divisors:
1 2 3 4 6 8 12 16 24 29 32 37 43 48 58 64 71 74 86 87 96 111 113 116 128 129 142 148 172 174 192 213 222 226 232 258 284 296 339 344 348 384 426 444 452 464 516 568 592 678 688 696 852 888 904 928 1032 1073 1136 1184 1247 1356 1376 1392 1591 1704 1776 1808 1856 2059 2064 2146 2272 2368 2494 2627 2712 2752 2784 3053 3182 3219 3277 3408 3552 3616 3712 3741 4118 4128 4181 4292 4544 4736 4773 4859 4988 5254 5424 5504 5568 6106 6177 6364 6438 6554 6816 7104 7232 7482 7881 8023 8236 8256 8362 8584 9088 9159 9546 9718 9831 9976 10508 10848 11136 12212 12354 12543 12728 12876 13108 13632 14208 14464 14577 14964 15762 16046 16472 16512 16724 17168 18318 19092 19436 19662 19952 21016 21696 24069 24424 24708 25086 25456 25752 26216 27264 29154 29928 31524 32092 32944 33448 34336 36636 38184 38872 39324 39904 42032 43392 46139 48138 48848 49416 50172 50912 51504 52432 58308 59856 63048 64184 65888 66896 68672 73272 76183 76368 77744 78648 79808 84064 88537 92278 96276 97696 98832 100344 101824 103008 104864 112961 116616 119712 121249 126096 128368 131776 133792 137344 138417 140911 146544 152366 152736 155488 157296 159616 168128 177074 179783 184556 192552 195392 197664 200688 203648 206016 209728 225922 228549 232667 233232 239424 242498 252192 256736 263552 265611 267584 276834 281822 293088 296851 304732 305472 310976 314592 336256 338883 344989 354148 359566 363747 369112 385104 390784 395328 401376 412032 419456 422733 451844 457098 465334 466464 478848 484996 504384 513472 531222 535168 539349 553668 563644 586176 593702 609464 610944 621952 629184 677766 689978 698001 708296 719132 727494 738224 770208 790656 802752 845466 890553 903688 914196 930668 932928 969992 1008768 1026944 1034967 1062444 1078698 1107336 1127288 1172352 1187404 1218928 1258368 1355532 1379956 1396002 1416592 1438264 1454988 1476448 1540416 1605504 1690932 1781106 1807376 1828392 1861336 1865856 1939984 2069934 2124888 2157396 2214672 2254576 2374808 2437856 2711064 2759912 2792004 2833184 2876528 2909976 2952896 3080832 3275869 3381864 3562212 3614752 3656784 3722672 3879968 4139868 4249776 4314792 4429344 4509152 4749616 4875712 5213707 5422128 5519824 5584008 5666368 5753056 5819952 5905792 6551738 6763728 7124424 7229504 7313568 7445344 7759936 8279736 8499552 8608679 8629584 8858688 9018304 9499232 9751424 9827607 10004681 10427414 10844256 11039648 11168016 11332736 11506112 11639904 12764593 13103476 13527456 14248848 14459008 14627136 14890688 15519872 15641121 16559472 16999104 17217358 17259168 17717376 18036608 18998464 19655214 20009362 20854828 21688512 22079296 22336032 23012224 23279808 25529186 25826037 26206952 27054912 28497696 29254272 29781376 30014043 31282242 33118944 33998208 34434716 34518336 37996928 38293779 39310428 40018724 41709656 43377024 44158592 44672064 46559616 51058372 51652074 52413904 54109824 56995392 60028086 62564484 66237888 68869432 69036672 76587558 78620856 80037448 83419312 89344128 102116744 103304148 104827808 113990784 120056172 125128968 132475776 137738864 153175116 157241712 160074896 166838624 204233488 206608296 209655616 240112344 250257936 275477728 306350232 314483424 320149792 333677248 370173197 408466976 413216592 419311232 480224688 500515872 550955456 612700464 628966848 640299584 667354496 740346394 816933952 826433184 960449376 1001031744 1101910912 1110519591 1225400928 1257933696 1280599168 1480692788 1633867904 1652866368 1920898752 2002063488 2221039182 2450801856 2961385576 3305732736 3841797504 4442078364 4901603712 5922771152 8884156728 11845542304 17768313456 23691084608 35536626912 47382169216 71073253824 142146507648
- Sum of all divisors σ(n): 419947545600
- Sum of proper divisors (its aliquot sum) s(n): 277801037952
- 142146507648 is an abundant number, because the sum of its proper divisors (277801037952) is greater than itself. Its abundance is 135654530304
Bases of 142146507648
- Binary: 100001000110001001011110010011100000002
- Hexadecimal: 0x2118979380
- Base-36: 1TAUCZ9C
Squares and roots of 142146507648
- 142146507648 squared (1421465076482) is 20205629636522922491904
- 142146507648 cubed (1421465076483) is 2872159687660661062122743154081792
-
The
square root of 142146507648 is 377023.2189772933 -
The
cube root of 142146507648 is 5218.8970679575
Scales and comparisons
How big is 142146507648?- 142,146,507,648 seconds is equal to 4,519 years, 42 weeks, 4 days, 5 hours, 48 seconds.
-
To count from 1 to 142,146,507,648 would take you about nine thousand and thirty-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 142146507648 cubic inches would be around 434.9 feet tall.
Recreational maths with 142146507648
- 142146507648 backwards is 846705641241
- 142146507648 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 142146507648's digits is 48
- More coming soon!
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