398428821359920
398,428,821,359,920 is an even composite number composed of seven prime numbers multiplied together.
398428821359920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 398428821359920:
24 × 5 × 13 × 17 × 23 × 29 × 33786457
(2 × 2 × 2 × 2 × 5 × 13 × 17 × 23 × 29 × 33786457)See below for interesting mathematical facts about the number 398428821359920 from the Numbermatics database.
Names of 398428821359920
- Cardinal: 398428821359920 can be written as Three hundred ninety-eight trillion, four hundred twenty-eight billion, eight hundred twenty-one million, three hundred fifty-nine thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 3.9842882135992 × 1014
Factors of 398428821359920
Divisors of 398428821359920
- Number of divisors d(n): 320
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 23 26 29 34 40 46 52 58 65 68 80 85 92 104 115 116 130 136 145 170 184 208 221 230 232 260 272 290 299 340 368 377 391 442 460 464 493 520 580 598 667 680 754 782 884 920 986 1040 1105 1160 1196 1334 1360 1495 1508 1564 1768 1840 1885 1955 1972 2210 2320 2392 2465 2668 2990 3016 3128 3335 3536 3770 3910 3944 4420 4784 4930 5083 5336 5980 6032 6256 6409 6670 7540 7820 7888 8671 8840 9860 10166 10672 11339 11960 12818 13340 15080 15640 17342 17680 19720 20332 22678 23920 25415 25636 26680 30160 31280 32045 34684 39440 40664 43355 45356 50830 51272 53360 56695 64090 69368 81328 86710 90712 101660 102544 113390 128180 138736 147407 173420 181424 203320 226780 256360 294814 346840 406640 453560 512720 589628 693680 737035 907120 1179256 1474070 2358512 2948140 5896280 11792560 33786457 67572914 135145828 168932285 270291656 337864570 439223941 540583312 574369769 675729140 777088511 878447882 979807253 1148739538 1351458280 1554177022 1756895764 1959614506 2196119705 2297479076 2702916560 2871848845 3108354044 3513791528 3885442555 3919229012 4392239410 4594958152 4899036265 5743697690 6216708088 7027583056 7466806997 7770885110 7838458024 8784478820 9189916304 9798072530 10102150643 11487395380 12433416176 12737494289 13210504687 14933613994 15541770220 15676916048 16656723301 17568957640 19596145060 20204301286 22535566819 22974790760 25474988578 26421009374 29867227988 31083540440 33313446602 35137915280 37334034985 39192290120 40408602572 45071133638 45949581520 50510753215 50949977156 52842018748 59734455976 62167080880 63687471445 66052523435 66626893204 74668069970 78384580240 80817205144 83283616505 90142267276 101021506430 101899954312 105684037496 112677834095 119468911952 127374942890 132105046870 133253786408 149336139940 161634410288 166567233010 171736560931 180284534552 202043012860 203799908624 211368074992 216537402913 225355668190 254749885780 264210093740 266507572816 292962368647 298672279880 333134466020 343473121862 360569069104 383104635923 404086025720 433074805826 450711336380 509499771560 528420187480 585924737294 597344559760 666268932040 686946243724 766209271846 808172051440 858682804655 866149611652 901422672760 1018999543120 1056840374960 1082687014565 1171849474588 1332537864080 1373892487448 1464811843235 1532418543692 1717365609310 1732299223304 1802845345520 1915523179615 2165374029130 2343698949176 2747784974896 2929623686470 3064837087384 3434731218620 3464598446608 3831046359230 4330748058260 4687397898352 4980360266999 5859247372940 6129674174768 6869462437240 7662092718460 8661496116520 9960720533998 11718494745880 13738924874480 15324185436920 17322992233040 19921441067996 23436989491760 24901801334995 30648370873840 39842882135992 49803602669990 79685764271984 99607205339980 199214410679960 398428821359920
- Sum of all divisors σ(n): 1140219978750720
- Sum of proper divisors (its aliquot sum) s(n): 741791157390800
- 398428821359920 is an abundant number, because the sum of its proper divisors (741791157390800) is greater than itself. Its abundance is 343362336030880
Bases of 398428821359920
- Binary: 10110101001011110011100000101110110001101001100002
- Hexadecimal: 0x16A5E705D8D30
- Base-36: 3X8BO93Z1S
Squares and roots of 398428821359920
- 398428821359920 squared (3984288213599202) is 158745525690255043638182406400
- 398428821359920 cubed (3984288213599203) is 63248792696929217832501162071149466111488000
-
The
square root of 398428821359920 is 19960681.8861460743 -
The
cube root of 398428821359920 is 73584.0321918823
Scales and comparisons
How big is 398428821359920?- 398,428,821,359,920 seconds is equal to 12,668,804 years, 5 weeks, 15 hours, 58 minutes, 40 seconds.
-
To count from 1 to 398,428,821,359,920 would take you about thirty-one million, six hundred seventy-two thousand and ten 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 398428821359920 cubic inches would be around 6132 feet tall.
Recreational maths with 398428821359920
- 398428821359920 backwards is 029953128824893
- The number of decimal digits it has is: 15
- The sum of 398428821359920's digits is 73
- More coming soon!
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