120328157664
120,328,157,664 is an even composite number composed of seven prime numbers multiplied together.
What does the number 120328157664 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
120328157664 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 120328157664:
25 × 33 × 112 × 13 × 29 × 43 × 71
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 11 × 13 × 29 × 43 × 71)See below for interesting mathematical facts about the number 120328157664 from the Numbermatics database.
Names of 120328157664
- Cardinal: 120328157664 can be written as One hundred twenty billion, three hundred twenty-eight million, one hundred fifty-seven thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 1.20328157664 × 1011
Factors of 120328157664
Divisors of 120328157664
- Number of divisors d(n): 1152
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 29 32 33 36 39 43 44 48 52 54 58 66 71 72 78 86 87 88 96 99 104 108 116 117 121 129 132 142 143 144 156 172 174 176 198 208 213 216 232 234 242 258 261 264 284 286 288 297 312 319 344 348 351 352 363 377 387 396 416 426 429 432 464 468 473 484 516 522 528 559 568 572 594 624 638 639 688 696 702 726 754 774 781 783 792 852 858 864 923 928 936 946 957 968 1032 1044 1056 1089 1118 1131 1136 1144 1161 1188 1247 1248 1276 1278 1287 1376 1392 1404 1419 1452 1508 1548 1562 1566 1573 1584 1677 1704 1716 1846 1872 1892 1914 1917 1936 2059 2064 2088 2178 2236 2262 2272 2288 2322 2343 2376 2494 2552 2556 2574 2769 2784 2808 2838 2871 2904 3016 3053 3096 3124 3132 3146 3168 3267 3354 3393 3408 3432 3509 3692 3741 3744 3784 3828 3834 3861 3872 4118 4128 4147 4176 4257 4356 4472 4524 4576 4644 4686 4719 4752 4988 5031 5104 5112 5148 5203 5538 5616 5676 5742 5808 6032 6106 6149 6177 6192 6248 6264 6292 6534 6708 6786 6816 6864 7018 7029 7384 7482 7568 7656 7668 7722 8236 8294 8307 8352 8514 8591 8613 8712 8944 9048 9159 9288 9372 9438 9504 9976 10062 10153 10179 10208 10224 10296 10406 10527 11076 11223 11232 11352 11484 11616 12064 12212 12298 12354 12384 12441 12496 12528 12584 12771 13068 13416 13572 13717 13728 14036 14058 14157 14768 14964 15093 15136 15312 15336 15444 15609 16211 16472 16588 16614 17028 17182 17226 17424 17888 18096 18318 18447 18531 18576 18744 18876 19952 20124 20306 20358 20448 20592 20812 21054 21087 22152 22446 22649 22704 22968 24424 24596 24708 24882 24921 24992 25056 25168 25542 25773 26136 26767 26832 27144 27434 27477 28072 28116 28314 29536 29928 30186 30459 30624 30672 30888 31218 31581 32422 32944 33176 33228 33583 33669 34056 34364 34452 34848 36192 36636 36894 37062 37152 37323 37488 37752 39689 39904 40248 40612 40716 41151 41184 41624 42108 42174 42471 44304 44892 45298 45408 45617 45936 46827 48633 48848 49192 49416 49764 49842 50336 51084 51546 52272 53534 53664 54288 54868 54954 55341 55593 56144 56232 56628 59856 60372 60918 61344 61776 62436 63162 64844 65888 66352 66456 67166 67338 67639 67947 68112 68728 68904 73272 73788 74124 74646 74976 75504 77319 79378 80301 80496 81224 81432 82302 82431 83248 84216 84348 84942 88537 88608 89784 90596 91234 91377 91872 93654 94743 97266 97696 98384 98832 99528 99684 100749 102168 103092 104544 107068 108576 109736 109908 110682 111186 111683 111969 112288 112464 113256 119067 119712 120744 121836 123453 123552 124872 126324 129688 132704 132912 134332 134676 135278 135894 136224 136851 137456 137808 140481 145899 146544 147576 148248 149292 150887 151008 154638 158756 160602 160992 162448 162864 164604 164862 166023 166496 168432 168696 169884 177074 178321 179568 181192 182468 182754 187308 189486 194532 196768 197664 199056 199368 201498 202917 203841 204336 206184 214136 219472 219816 221364 222372 223366 223938 224928 226512 231957 238134 240903 241488 243672 246906 249139 249744 252648 259376 265611 265824 268664 269352 270556 271788 273702 274131 274912 275616 280962 291798 293088 294437 295152 296496 298584 301774 302247 309276 317512 321204 324896 325728 329208 329724 332046 335049 336864 337392 339768 354148 356642 357201 359136 362384 364936 365508 369413 370359 374616 378972 389064 398112 398736 402996 405834 407682 408672 410553 412368 428272 436579 437697 438944 439632 442728 444744 446732 447876 452661 453024 463914 476268 481806 482976 487344 493812 498278 499488 505296 518752 531222 534963 537328 538704 541112 543576 547404 548262 561924 583596 588874 590304 592992 597168 603548 604494 608751 611523 618552 635024 642408 658416 659448 664092 670098 674784 679536 708296 713284 714402 722709 724768 729872 731016 738826 740718 747417 749232 757944 778128 796833 797472 805992 811668 815364 821106 824736 856544 873158 875394 879264 883311 885456 889488 893464 895752 905322 906741 927828 952536 963612 973907 974688 987624 996556 1005147 1010592 1062444 1069926 1071603 1074656 1077408 1082224 1087152 1094808 1096524 1108239 1123848 1150981 1167192 1177748 1194336 1207096 1208988 1217502 1223046 1231659 1237104 1270048 1284816 1309737 1316832 1318896 1328184 1340196 1357983 1359072 1416592 1426568 1428804 1445418 1459744 1462032 1477652 1481436 1494834 1498464 1515888 1556256 1593666 1604889 1611984 1623336 1630728 1642212 1746316 1750788 1766622 1770912 1778976 1786928 1791504 1810644 1813482 1826253 1855656 1905072 1927224 1947814 1961531 1975248 1993112 2010294 2124888 2139852 2143206 2164448 2174304 2189616 2193048 2216478 2242251 2247696 2301962 2334384 2355496 2390499 2414192 2417976 2435004 2446092 2463318 2474208 2569632 2619474 2637792 2649933 2656368 2680392 2715966 2833184 2853136 2857608 2890836 2921721 2924064 2955304 2962872 2989668 3015441 3031776 3187332 3209778 3223968 3238807 3246672 3261456 3284424 3324717 3452943 3492632 3501576 3533244 3573856 3583008 3621288 3626964 3652506 3711312 3810144 3854448 3895628 3923062 3929211 3950496 3986224 4020588 4073949 4249776 4279704 4286412 4379232 4386096 4432956 4484502 4495392 4603924 4668768 4710992 4780998 4802369 4814667 4828384 4835952 4870008 4892184 4926636 5238948 5299866 5312736 5360784 5431932 5706272 5715216 5781672 5843442 5884593 5910608 5925744 5979336 6030882 6374664 6419556 6477614 6493344 6522912 6568848 6649434 6726753 6905886 6985264 7003152 7066488 7242576 7253928 7305012 7422624 7708896 7791256 7846124 7858422 7949799 7972448 8041176 8147898 8499552 8559408 8572824 8765163 8772192 8865912 8969004 9207848 9421984 9561996 9604738 9629334 9671904 9716421 9740016 9784368 9853272 9974151 10358829 10477896 10599732 10712977 10721568 10863864 11430432 11563344 11686884 11769186 11787633 11821216 11851488 11958672 12061764 12660791 12749328 12839112 12955228 13137696 13298868 13453506 13811772 13970528 14006304 14132976 14407107 14485152 14507856 14610024 15582512 15692248 15716844 15899598 16082352 16295796 17118816 17145648 17530326 17653779 17731824 17938008 18415696 19123992 19209476 19258668 19432842 19480032 19568736 19706544 19948302 20717658 20955792 21199464 21425954 21727728 23126688 23373768 23538372 23575266 23917344 24123528 25321582 25498656 25678224 25910456 26295489 26597736 26907012 27623544 28265952 28814214 29015712 29149263 29220048 31076487 31165024 31384496 31433688 31799196 32138931 32164704 32591592 34291296 35060652 35307558 35463648 35876016 36831392 37982373 38247984 38418952 38517336 38865684 39413088 39896604 41435316 41911584 42398928 42851908 43221321 43455456 46747536 47076744 47150532 48247056 50643164 51356448 51820912 52590978 52961337 53195472 53814024 55247088 57628428 58298526 58440096 62152974 62768992 62867376 63598392 64277862 65183184 70121304 70615116 71752032 75964746 76495968 76837904 77034672 77731368 79793208 82870632 84797856 85703816 86442642 87447789 93495072 94153488 94301064 96416793 96494112 101286328 103641824 105181956 105922674 106390944 107628048 110494176 113947119 115256856 116597052 124305948 125734752 127196784 128555724 129663963 130366368 139268701 140242608 141230232 151929492 153675808 154069344 155462736 159586416 165741264 171407632 172885284 174895578 188306976 188602128 192833586 202572656 210363912 211845348 215256096 227894238 230513712 233194104 248611896 254393568 257111448 259327926 278537402 280485216 282460464 289250379 303858984 310925472 319172832 331482528 341841357 342815264 345770568 349791156 377204256 385667172 405145312 417806103 420727824 423690696 455788476 461027424 466388208 497223792 514222896 518655852 557074804 564920928 578500758 607717968 683682714 691541136 699582312 771334344 835612206 841455648 847381392 911576952 932776416 994447584 1028445792 1037311704 1114149608 1157001516 1215435936 1253418309 1367365428 1383082272 1399164624 1542668688 1671224412 1694762784 1823153904 2074623408 2228299216 2314003032 2506836618 2734730856 2798329248 3085337376 3342448824 3646307808 3760254927 4149246816 4456598432 4628006064 5013673236 5469461712 6684897648 7520509854 9256012128 10027346472 10938923424 13369795296 15041019708 20054692944 30082039416 40109385888 60164078832 120328157664
- Sum of all divisors σ(n): 445950489600
- Sum of proper divisors (its aliquot sum) s(n): 325622331936
- 120328157664 is an abundant number, because the sum of its proper divisors (325622331936) is greater than itself. Its abundance is 205294174272
Bases of 120328157664
- Binary: 11100000001000001110111111001111000002
- Hexadecimal: 0x1C041DF9E0
- Base-36: 1JA0A0O0
Squares and roots of 120328157664
- 120328157664 squared (1203281576642) is 14478865526812441936896
- 120328157664 cubed (1203281576643) is 1742215213906141932739667426770944
-
The
square root of 120328157664 is 346883.4929252183 -
The
cube root of 120328157664 is 4936.9162030471
Scales and comparisons
How big is 120328157664?- 120,328,157,664 seconds is equal to 3,826 years, 3 weeks, 2 days, 14 minutes, 24 seconds.
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To count from 1 to 120,328,157,664 would take you about seven thousand, six hundred fifty-two 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 120328157664 cubic inches would be around 411.4 feet tall.
Recreational maths with 120328157664
- 120328157664 backwards is 466751823021
- The number of decimal digits it has is: 12
- The sum of 120328157664's digits is 45
- More coming soon!
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The information we have on file for 120328157664 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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