428070848400
428,070,848,400 is an even composite number composed of six prime numbers multiplied together.
428070848400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred ten divisors.
Prime factorization of 428070848400:
24 × 32 × 52 × 132 × 41 × 1312
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 13 × 41 × 131 × 131)See below for interesting mathematical facts about the number 428070848400 from the Numbermatics database.
Names of 428070848400
- Cardinal: 428070848400 can be written as Four hundred twenty-eight billion, seventy million, eight hundred forty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 4.280708484 × 1011
Factors of 428070848400
Divisors of 428070848400
- Number of divisors d(n): 810
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 36 39 40 41 45 48 50 52 60 65 72 75 78 80 82 90 100 104 117 120 123 130 131 144 150 156 164 169 180 195 200 205 208 225 234 240 246 260 262 300 312 325 328 338 360 369 390 393 400 410 450 468 492 507 520 524 533 585 600 615 624 650 655 656 676 720 738 780 786 820 845 900 936 975 984 1014 1025 1040 1048 1066 1170 1179 1200 1230 1300 1310 1352 1476 1521 1560 1572 1599 1640 1690 1703 1800 1845 1872 1950 1965 1968 2028 2050 2096 2132 2340 2358 2460 2535 2600 2620 2665 2704 2925 2952 3042 3075 3120 3144 3198 3275 3280 3380 3406 3600 3690 3900 3930 4056 4100 4225 4264 4680 4716 4797 4920 5070 5109 5200 5240 5330 5371 5850 5895 5904 6084 6150 6288 6396 6550 6760 6812 6929 7380 7605 7800 7860 7995 8112 8200 8450 8515 8528 9225 9360 9432 9594 9825 9840 10140 10218 10480 10660 10742 11700 11790 12168 12300 12675 12792 13100 13325 13520 13624 13858 14760 15210 15327 15600 15720 15990 16113 16400 16900 17030 17161 18450 18864 19188 19650 20280 20436 20787 21320 21484 22139 23400 23580 23985 24336 24600 25350 25545 25584 26200 26650 26855 27248 27716 29475 29520 30420 30654 31440 31980 32226 33800 34060 34322 34645 36900 38025 38376 39300 39975 40560 40872 41574 42575 42640 42968 44278 46800 47160 47970 48339 49200 50700 51090 51483 52400 53300 53710 55432 58950 60840 61308 62361 63960 64452 66417 67600 68120 68644 69290 69823 73800 76050 76635 76752 78600 79950 80565 81744 83148 85150 85805 85936 88556 94320 95940 96678 101400 102180 102966 103935 106600 107420 110695 110864 117900 119925 121680 122616 124722 127725 127920 128904 132834 134275 136240 137288 138580 139646 147600 152100 153270 154449 157200 159900 161130 166296 170300 171610 173225 177112 191880 193356 199251 202800 204360 205932 207870 209469 213200 214840 221390 223093 235800 239850 241695 245232 249444 255450 257415 257808 265668 268550 274576 277160 279292 304200 306540 308898 311805 319800 322260 332085 332592 340600 343220 346450 349115 354224 383175 383760 386712 398502 402825 408720 411864 415740 418938 429025 429680 442780 446186 471600 479700 483390 498888 510900 514830 519675 531336 537100 553475 554320 558584 608400 613080 617796 623610 628407 639600 644520 664170 669279 681200 686440 692900 698230 703601 766350 772245 773424 797004 805650 823728 831480 837876 858050 885560 892372 907699 959400 966780 996255 997776 1021800 1029660 1039350 1047345 1062672 1074200 1106950 1115465 1117168 1208475 1226160 1235592 1247220 1256814 1287075 1289040 1328340 1338558 1372880 1385800 1396460 1407202 1532700 1544490 1559025 1594008 1611300 1660425 1662960 1675752 1716100 1745575 1771120 1784744 1815398 1918800 1933560 1992510 2007837 2043600 2059320 2078700 2094690 2110803 2148400 2213900 2230930 2416950 2471184 2494440 2513628 2574150 2656680 2677116 2723097 2771600 2792920 2814404 2900209 3065400 3088980 3118050 3142035 3188016 3222600 3320850 3346395 3351504 3432200 3491150 3518005 3569488 3630796 3861225 3867120 3985020 4015674 4118640 4157400 4189380 4221606 4427800 4461860 4538495 4833900 4981275 4988880 5027256 5148300 5236725 5313360 5354232 5446194 5577325 5585840 5628808 5800418 6130800 6177960 6236100 6284070 6332409 6445200 6641700 6692790 6864400 6982300 7036010 7261592 7722450 7970040 8031348 8169291 8314800 8378760 8443212 8700627 8855600 8923720 9076990 9146813 9667800 9962550 10039185 10054512 10296600 10473450 10554015 10708464 10892388 11154650 11257616 11600836 12355920 12472200 12568140 12664818 13283400 13385580 13615485 13964600 14072020 14501045 14523184 15444900 15710175 15940080 16062696 16338582 16731975 16757520 16886424 17401254 17590025 17847440 18153980 18293626 19335600 19925100 20078370 20593200 20946900 21108030 21784776 22309300 22692475 23201672 24944400 25136280 25329636 26101881 26566800 26771160 27230970 27440439 27929200 28144040 29002090 30889800 31420350 31662045 32125392 32677164 33463950 33772848 34802508 35180050 36307960 36587252 39850200 40156740 40846455 41893800 42216060 43503135 43569552 44618600 45384950 45734065 46403344 50195925 50272560 50659272 52203762 52770075 53542320 54461940 54880878 56288080 58004180 61779600 62840700 63324090 65354328 66927900 68077425 69605016 70360100 72505225 72615920 73174504 79700400 80313480 81692910 82321317 83787600 84432120 87006270 89237200 90769900 91468130 100391850 101318544 104407524 105540150 108923880 109761756 116008360 118908569 125681400 126648180 130509405 130708656 133855800 136154850 137202195 139210032 140720200 145010450 146349008 158310225 160626960 163385820 164642634 168864240 174012540 181539800 182936260 200783700 204232275 208815048 211080300 217515675 217847760 219523512 228670325 232016720 237817138 251362800 253296360 261018810 267711600 272309700 274404390 281440400 290020900 316620450 326771640 329285268 348025080 356725707 363079600 365872520 401567400 408464550 411606585 417630096 422160600 435031350 439047024 457340650 475634276 506592720 522037620 544619400 548808780 580041800 594542845 633240900 652547025 653543280 658570536 686010975 696050160 713451414 731745040 803134800 816929100 823213170 844321200 870062700 914681300 951268552 1044075240 1070177121 1089238800 1097617560 1160083600 1189085690 1266481800 1305094050 1317141072 1372021950 1426902828 1633858200 1646426340 1740125400 1783628535 1829362600 1902537104 2058032925 2088150480 2140354242 2195235120 2378171380 2532963600 2610188100 2744043900 2853805656 2972714225 3267716400 3292852680 3480250800 3567257070 3658725200 4116065850 4280708484 4756342760 5220376200 5350885605 5488087800 5707611312 5945428450 6585705360 7134514140 8232131700 8561416968 8918142675 9512685520 10440752400 10701771210 10976175600 11890856900 14269028280 16464263400 17122833936 17836285350 21403542420 23781713800 26754428025 28538056560 32928526800 35672570700 42807084840 47563427600 53508856050 71345141400 85614169680 107017712100 142690282800 214035424200 428070848400
- Sum of all divisors σ(n): 1660494577014
- Sum of proper divisors (its aliquot sum) s(n): 1232423728614
- 428070848400 is an abundant number, because the sum of its proper divisors (1232423728614) is greater than itself. Its abundance is 804352880214
Bases of 428070848400
- Binary: 1100011101010110000001011000111100100002
- Hexadecimal: 0x63AB02C790
- Base-36: 5GNIBWK0
Squares and roots of 428070848400
- 428070848400 squared (4280708484002) is 183244651249895782560000
- 428070848400 cubed (4280708484003) is 78441693325305008052041123904000000
-
The
square root of 428070848400 is 654271.2345808885 -
The
cube root of 428070848400 is 7536.5378476999
Scales and comparisons
How big is 428070848400?- 428,070,848,400 seconds is equal to 13,611 years, 17 weeks, 17 hours.
-
To count from 1 to 428,070,848,400 would take you about twenty-seven thousand, two hundred twenty-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 428070848400 cubic inches would be around 628 feet tall.
Recreational maths with 428070848400
- 428070848400 backwards is 004848070824
- 428070848400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 428070848400's digits is 45
- More coming soon!
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