146045525472
146,045,525,472 is an even composite number composed of six prime numbers multiplied together.
146045525472 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 146045525472:
25 × 33 × 73 × 11 × 71 × 631
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 7 × 11 × 71 × 631)See below for interesting mathematical facts about the number 146045525472 from the Numbermatics database.
Names of 146045525472
- Cardinal: 146045525472 can be written as One hundred forty-six billion, forty-five million, five hundred twenty-five thousand, four hundred seventy-two.
Scientific notation
- Scientific notation: 1.46045525472 × 1011
Factors of 146045525472
Divisors of 146045525472
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 32 33 36 42 44 48 49 54 56 63 66 71 72 77 84 88 96 98 99 108 112 126 132 142 144 147 154 168 176 189 196 198 213 216 224 231 252 264 284 288 294 297 308 336 343 352 378 392 396 426 432 441 462 497 504 528 539 568 588 594 616 631 639 672 686 693 756 781 784 792 852 864 882 924 994 1008 1029 1056 1078 1136 1176 1188 1232 1262 1278 1323 1372 1386 1491 1512 1562 1568 1584 1617 1704 1764 1848 1893 1917 1988 2016 2058 2079 2156 2272 2343 2352 2376 2464 2524 2556 2646 2744 2772 2982 3024 3087 3124 3168 3234 3408 3479 3528 3696 3773 3786 3834 3976 4116 4158 4312 4417 4473 4686 4704 4752 4851 5048 5112 5292 5467 5488 5544 5679 5964 6048 6174 6248 6468 6816 6941 6958 7029 7056 7392 7546 7572 7668 7952 8232 8316 8624 8834 8946 9261 9372 9504 9702 10096 10224 10437 10584 10934 10976 11088 11319 11358 11928 12348 12496 12936 13251 13419 13882 13916 14058 14112 14553 15092 15144 15336 15904 16401 16464 16632 17037 17248 17668 17892 18522 18744 19404 20192 20448 20823 20874 21087 21168 21868 22176 22638 22716 23856 24353 24696 24992 25872 26502 26838 27764 27832 28116 29106 30184 30288 30672 30919 31311 32802 32928 33264 33957 34074 35336 35784 37044 37488 38269 38808 39753 41646 41748 42174 42336 43736 44801 45276 45432 47712 48587 48706 49203 49392 51744 53004 53676 55528 55664 56232 58212 60368 60576 61344 61838 62469 62622 65604 66528 67914 68148 70672 71568 73059 74088 74976 76538 77616 79506 83292 83496 84348 87472 89602 90552 90864 92757 93933 97174 97412 98406 98784 101871 106008 107352 111056 111328 112464 114807 116424 119259 120736 123676 124938 125244 131208 134403 135828 136296 141344 143136 145761 146118 147609 148176 153076 155232 159012 166584 166992 168696 174944 179204 181104 181728 185514 187407 187866 194348 194824 196812 203742 212016 214704 216433 219177 222112 224928 229614 232848 238518 247352 249876 250488 262416 267883 268806 271656 272592 278271 291522 292236 295218 296352 306152 313607 318024 333168 333984 337392 340109 344421 358408 362208 371028 374814 375732 388696 389648 393624 403209 407484 424032 429408 432866 437283 438354 459228 465696 477036 492811 494704 499752 500976 524832 535766 537612 543312 545184 556542 583044 584472 590436 612304 627214 636048 649299 657531 666336 674784 680218 688842 716816 742056 749628 751464 777392 779296 787248 803649 806418 814968 834813 865732 874566 876708 918456 940821 954072 985622 989408 999504 1001952 1020327 1033263 1071532 1075224 1086624 1113084 1166088 1168944 1180872 1209627 1224608 1254428 1272096 1298598 1311849 1315062 1360436 1377684 1433632 1478433 1484112 1499256 1502928 1554784 1574496 1607298 1612836 1629936 1669626 1731464 1749132 1753416 1836912 1881642 1908144 1947897 1971244 1999008 2040654 2066526 2143064 2150448 2195249 2226168 2332176 2337888 2361744 2380763 2410947 2419254 2508856 2597196 2623698 2630124 2720872 2755368 2822463 2956866 2968224 2998512 3005856 3060981 3214596 3225672 3259872 3339252 3449677 3462928 3498264 3506832 3673824 3763284 3816288 3895794 3942488 4081308 4133052 4286128 4300896 4390498 4435299 4452336 4664352 4723488 4761526 4821894 4838508 5017712 5194392 5247396 5260248 5441744 5510736 5644926 5843691 5913732 5997024 6121962 6429192 6451344 6585747 6678504 6899354 6925856 6996528 7013664 7142289 7232841 7526568 7791588 7884976 8162616 8266104 8467389 8572256 8780996 8870598 8904672 9182943 9523052 9643788 9677016 10035424 10349031 10388784 10494792 10520496 10883488 11021472 11289852 11687382 11827464 12243924 12858384 12902688 13171494 13305897 13357008 13798708 13993056 14284578 14465682 15053136 15366743 15583176 15769952 16325232 16532208 16934778 17561992 17741196 18365886 19046104 19287576 19354032 19757241 20698062 20777568 20989584 21040992 21426867 22579704 23374764 23654928 24147739 24487848 25716768 26342988 26611794 26714016 27597416 28569156 28931364 30106272 30733486 31047093 31166352 32650464 33064416 33869556 35123984 35482392 36731772 38092208 38575152 38708064 39514482 41396124 41979168 42853734 45159408 46100229 46749528 47309856 48295478 48975696 52685976 53223588 55194832 57138312 57862728 59271723 61466972 62094186 62332704 64280601 67739112 70247968 70964784 72443217 73463544 76184416 77150304 79028964 82792248 85707468 90318816 92200458 93141279 93499056 96590956 97951392 105371952 106447176 110389664 114276624 115725456 118543446 122933944 124188372 128561202 135478224 138300687 141929568 144886434 146927088 158057928 165584496 169034173 171414936 184400916 186282558 186998112 193181912 210743904 212894352 217329651 228553248 231450912 237086892 245867888 248376744 257122404 270956448 276601374 289772868 293854176 316115856 331168992 338068346 342829872 368801832 372565116 386363824 414902061 425788704 434659302 474173784 491735776 496753488 507102519 514244808 553202748 579545736 632231712 651988953 676136692 685659744 737603664 745130232 772727648 829804122 869318604 948347568 993506976 1014205038 1028489616 1106405496 1159091472 1303977906 1352273384 1475207328 1490260464 1521307557 1659608244 1738637208 1896695136 2028410076 2056979232 2212810992 2318182944 2607955812 2704546768 2980520928 3042615114 3319216488 3477274416 4056820152 4425621984 4563922671 5215911624 5409093536 6085230228 6638432976 6954548832 8113640304 9127845342 10431823248 12170460456 13276865952 16227280608 18255690684 20863646496 24340920912 36511381368 48681841824 73022762736 146045525472
- Sum of all divisors σ(n): 550416384000
- Sum of proper divisors (its aliquot sum) s(n): 404370858528
- 146045525472 is an abundant number, because the sum of its proper divisors (404370858528) is greater than itself. Its abundance is 258325333056
Bases of 146045525472
- Binary: 100010000000001111110111011101111000002
- Hexadecimal: 0x2200FDDDE0
- Base-36: 1V3BQGO0
Squares and roots of 146045525472
- 146045525472 squared (1460455254722) is 21329295510392600822784
- 146045525472 cubed (1460455254723) is 3115048170762857824184228829954048
-
The
square root of 146045525472 is 382159.0316504373 -
The
cube root of 146045525472 is 5266.1846786673
Scales and comparisons
How big is 146045525472?- 146,045,525,472 seconds is equal to 4,643 years, 41 weeks, 2 days, 17 hours, 31 minutes, 12 seconds.
-
To count from 1 to 146,045,525,472 would take you about nine thousand, two hundred eighty-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 146045525472 cubic inches would be around 438.8 feet tall.
Recreational maths with 146045525472
- 146045525472 backwards is 274525540641
- The number of decimal digits it has is: 12
- The sum of 146045525472's digits is 45
- More coming soon!
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The information we have on file for 146045525472 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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