398813425920
398,813,425,920 is an even composite number composed of seven prime numbers multiplied together.
What does the number 398813425920 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 864 divisors.
398813425920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 398813425920:
28 × 32 × 5 × 7 × 13 × 557 × 683
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 13 × 557 × 683)See below for interesting mathematical facts about the number 398813425920 from the Numbermatics database.
Names of 398813425920
- Cardinal: 398813425920 can be written as Three hundred ninety-eight billion, eight hundred thirteen million, four hundred twenty-five thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 3.9881342592 × 1011
Factors of 398813425920
Divisors of 398813425920
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 28 30 32 35 36 39 40 42 45 48 52 56 60 63 64 65 70 72 78 80 84 90 91 96 104 105 112 117 120 126 128 130 140 144 156 160 168 180 182 192 195 208 210 224 234 240 252 256 260 273 280 288 312 315 320 336 360 364 384 390 416 420 448 455 468 480 504 520 546 557 560 576 585 624 630 640 672 683 720 728 768 780 819 832 840 896 910 936 960 1008 1040 1092 1114 1120 1152 1170 1248 1260 1280 1344 1365 1366 1440 1456 1560 1638 1664 1671 1680 1792 1820 1872 1920 2016 2049 2080 2184 2228 2240 2304 2340 2496 2520 2688 2730 2732 2785 2880 2912 3120 3276 3328 3342 3360 3415 3640 3744 3840 3899 4032 4095 4098 4160 4368 4456 4480 4680 4781 4992 5013 5040 5376 5460 5464 5570 5760 5824 6147 6240 6552 6684 6720 6830 7241 7280 7488 7798 8064 8190 8196 8320 8355 8736 8879 8912 8960 9360 9562 9984 10026 10080 10245 10920 10928 11140 11520 11648 11697 12294 12480 13104 13368 13440 13660 14343 14482 14560 14976 15596 16128 16380 16392 16640 16710 17472 17758 17824 18720 19124 19495 20052 20160 20490 21723 21840 21856 22280 23296 23394 23905 24588 24960 25065 26208 26637 26736 26880 27320 28686 28964 29120 29952 30735 31192 32760 32784 33420 34944 35091 35516 35648 36205 37440 38248 38990 40104 40320 40980 43029 43446 43680 43712 44395 44560 46788 47810 49176 49920 50130 50687 52416 53274 53472 54640 57372 57928 58240 58485 61470 62153 62384 65169 65520 65568 66840 69888 70182 71032 71296 71715 72410 74880 76496 77980 79911 80208 80640 81960 86058 86892 87360 87424 88790 89120 93576 95620 98352 100260 101374 104832 106548 106944 108615 109280 114744 115856 116480 116970 122940 124306 124768 130338 131040 131136 133185 133680 140364 142064 142592 143430 144820 149760 152061 152992 155960 159822 160416 163920 172116 173784 174720 174848 175455 177580 178240 186459 187152 191240 196704 200520 202748 209664 213096 213888 215145 217230 218560 229488 231712 233940 245880 248612 249536 253435 260676 262080 262272 266370 267360 280728 284128 286860 289640 304122 305984 310765 311920 319644 320832 325845 327840 344232 347568 349440 350910 355160 356480 372918 374304 380431 382480 393408 399555 401040 405496 426192 427776 430290 434460 437120 456183 458976 463424 467880 491760 497224 499072 506870 521352 524160 524544 532740 534720 559377 561456 568256 573720 579280 608244 611968 621530 623840 639288 641664 651690 655680 688464 695136 701820 710320 712960 745836 748608 760305 760862 764960 786816 799110 802080 810992 852384 860580 868920 874240 912366 917952 926848 932295 935760 983520 994448 998144 1013740 1042704 1048320 1065480 1069440 1118754 1122912 1136512 1141293 1147440 1158560 1216488 1223936 1243060 1247680 1278576 1283328 1303380 1311360 1376928 1390272 1403640 1420640 1491672 1497216 1520610 1521724 1529920 1573632 1598220 1604160 1621984 1704768 1721160 1737840 1824732 1835904 1853696 1864590 1871520 1902155 1967040 1988896 2027480 2085408 2130960 2138880 2237508 2245824 2273024 2280915 2282586 2294880 2317120 2432976 2486120 2495360 2557152 2606760 2622720 2663017 2753856 2780544 2796885 2807280 2841280 2983344 2994432 3041220 3043448 3059840 3196440 3208320 3243968 3409536 3423879 3442320 3475680 3649464 3671808 3729180 3743040 3804310 3934080 3977792 4054960 4170816 4261920 4475016 4491648 4561830 4565172 4589760 4634240 4865952 4945603 4972240 4990720 5114304 5213520 5326034 5507712 5561088 5593770 5614560 5682560 5706465 5966688 6082440 6086896 6119680 6392880 6416640 6487936 6819072 6847758 6884640 6951360 7298928 7458360 7486080 7608620 7868160 7955584 7989051 8109920 8341632 8523840 8950032 8983296 9123660 9130344 9179520 9268480 9731904 9891206 9944480 10228608 10427040 10652068 11015424 11187540 11229120 11365120 11412930 11933376 12164880 12173792 12785760 12975872 13315085 13695516 13769280 13902720 14597856 14836809 14916720 14972160 15217240 15911168 15978102 16219840 16683264 17047680 17119395 17900064 18247320 18260688 18359040 19463808 19782412 19888960 20457216 20854080 21304136 22375080 22458240 22825860 23866752 23967153 24329760 24347584 24728015 25571520 26630170 27391032 27538560 27805440 29195712 29673618 29833440 30434480 31956204 32439680 34095360 34238790 34619221 35800128 36494640 36521376 38927616 39564824 39777920 39945255 41708160 42608272 44510427 44750160 44916480 45651720 47733504 47934306 48659520 48695168 49456030 51143040 53260340 54782064 55077120 58391424 59347236 59666880 60868960 63912408 64879360 68477580 69238442 71600256 72989280 73042752 74184045 79129648 79555840 79890510 83416320 85216544 89020854 89500320 91303440 95868612 97319040 97390336 98912060 102286080 103857663 106520680 109564128 116782848 118694472 119333760 119835765 121737920 127824816 136955160 138476884 143200512 145978560 146085504 148368090 158259296 159781020 170433088 173096105 178041708 179000640 182606880 191737224 194638080 197824120 207715326 213041360 219128256 222552135 237388944 238667520 239671530 243475840 255649632 273910320 276953768 291957120 292171008 296736180 311572989 316518592 319562040 340866176 346192210 356083416 358001280 365213760 383474448 395648240 415430652 426082720 438256512 445104270 474777888 479343060 486951680 511299264 519288315 547820640 553907536 583914240 593472360 623145978 633037184 639124080 681732352 692384420 712166832 716002560 730427520 766948896 791296480 830861304 852165440 876513024 890208540 949555776 958686120 1022598528 1038576630 1095641280 1107815072 1186944720 1246291956 1266074368 1278248160 1384768840 1424333664 1460855040 1533897792 1557864945 1582592960 1661722608 1704330880 1780417080 1899111552 1917372240 2045197056 2077153260 2191282560 2215630144 2373889440 2492583912 2556496320 2769537680 2848667328 3067795584 3115729890 3165185920 3323445216 3408661760 3560834160 3798223104 3834744480 4154306520 4382565120 4431260288 4747778880 4985167824 5112992640 5539075360 5697334656 6135591168 6231459780 6330371840 6646890432 7121668320 7669488960 8308613040 8862520576 9495557760 9970335648 10225985280 11078150720 11394669312 12462919560 13293780864 14243336640 15338977920 16617226080 18991115520 19940671296 22156301440 24925839120 26587561728 28486673280 30677955840 33234452160 39881342592 44312602880 49851678240 56973346560 66468904320 79762685184 99703356480 132937808640 199406712960 398813425920
- Sum of all divisors σ(n): 1703820448512
- Sum of proper divisors (its aliquot sum) s(n): 1305007022592
- 398813425920 is an abundant number, because the sum of its proper divisors (1305007022592) is greater than itself. Its abundance is 906193596672
Bases of 398813425920
- Binary: 1011100110110110010000111110001000000002
- Hexadecimal: 0x5CDB21F100
- Base-36: 537N7SW0
Squares and roots of 398813425920
- 398813425920 squared (3988134259202) is 159052148694047327846400
- 398813425920 cubed (3988134259203) is 63432132320610268729044199538688000
-
The
square root of 398813425920 is 631516.7661432275 -
The
cube root of 398813425920 is 7360.7701541275
Scales and comparisons
How big is 398813425920?- 398,813,425,920 seconds is equal to 12,681 years, 1 week, 5 days, 3 hours, 12 minutes.
-
To count from 1 to 398,813,425,920 would take you about twenty-five thousand, three hundred sixty-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 398813425920 cubic inches would be around 613.4 feet tall.
Recreational maths with 398813425920
- 398813425920 backwards is 029524318893
- The number of decimal digits it has is: 12
- The sum of 398813425920's digits is 54
- More coming soon!
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