828428128000

Names of 828428128000

• Cardinal: 828428128000 can be written as Eight hundred twenty-eight billion, four hundred twenty-eight million, one hundred twenty-eight thousand.

Scientific notation

• Scientific notation: 8.28428128 × 10¹¹

Factors of 828428128000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 128

Divisors of 828428128000

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 4 5 8 10 11 16 20 22 25 31 32 40 44 50 55 62 64 79 80 88 100 110 124 125 128 155 158 160 176 200 220 248 250 256 275 310 316 320 341 352 395 400 440 496 500 550 620 632 640 682 704 775 790 800 869 880 961 992 1000 1100 1240 1264 1280 1364 1375 1408 1550 1580 1600 1705 1738 1760 1922 1975 1984 2000 2200 2449 2480 2528 2728 2750 2816 3100 3160 3200 3410 3476 3520 3844 3875 3950 3968 4000 4345 4400 4805 4898 4960 5056 5456 5500 6200 6320 6400 6820 6952 7040 7688 7750 7900 7936 8000 8525 8690 8800 9610 9796 9875 9920 10112 10571 10912 11000 12245 12400 12640 13640 13904 14080 15376 15500 15800 16000 17050 17380 17600 19220 19592 19750 19840 20224 21142 21725 21824 22000 24025 24490 24800 25280 26939 27280 27808 29791 30752 31000 31600 32000 34100 34760 35200 38440 39184 39500 39680 42284 42625 43450 43648 44000 48050 48980 49600 50560 52855 53878 54560 55616 59582 61225 61504 62000 63200 68200 69520 70400 75919 76880 78368 79000 84568 85250 86900 87296 88000 96100 97960 99200 101120 105710 107756 108625 109120 111232 119164 120125 122450 123008 124000 126400 134695 136400 139040 148955 151838 153760 156736 158000 169136 170500 173800 176000 192200 195920 198400 211420 215512 217250 218240 222464 238328 240250 244900 246016 248000 252800 264275 269390 272800 278080 297910 303676 306125 307520 313472 316000 327701 338272 341000 347600 352000 379595 384400 391840 422840 431024 434500 436480 476656 480500 489800 496000 505600 528550 538780 545600 556160 595820 607352 612250 615040 626944 632000 655402 673475 676544 682000 695200 744775 759190 768800 783680 835109 845680 862048 869000 953312 961000 979600 992000 1057100 1077560 1091200 1112320 1191640 1214704 1224500 1230080 1264000 1310804 1321375 1346950 1353088 1364000 1390400 1489550 1518380 1537600 1567360 1638505 1670218 1691360 1724096 1738000 1897975 1906624 1922000 1959200 2114200 2155120 2182400 2353489 2383280 2429408 2449000 2528000 2621608 2642750 2693900 2706176 2728000 2780800 2979100 3036760 3075200 3134720 3277010 3340436 3367375 3382720 3448192 3476000 3723875 3795950 3813248 3844000 3918400 4175545 4228400 4310240 4706978 4766560 4858816 4898000 5243216 5285500 5387800 5456000 5561600 5958200 6073520 6150400 6554020 6680872 6734750 6765440 6896384 6952000 7447750 7591900 7626496 7688000 7836800 8192525 8351090 8456800 8620480 9413956 9489875 9533120 9717632 9796000 10486432 10571000 10775600 10912000 11767445 11916400 12147040 13108040 13361744 13469500 13530880 13904000 14895500 15183800 15376000 15673600 16385050 16702180 16913600 17240960 18827912 18979750 19066240 19435264 19592000 20877725 20972864 21142000 21551200 23534890 23832800 24294080 25888379 26216080 26723488 26939000 27808000 29791000 30367600 30752000 32770100 33404360 33827200 34481920 37655824 37959500 38132480 39184000 40962625 41755450 41945728 42284000 43102400 47069780 47665600 48588160 51776758 52432160 53446976 53878000 58837225 59582000 60735200 65540200 66808720 67654400 75311648 75919000 78368000 81925250 83510900 83891456 84568000 86204800 94139560 95331200 97176320 103553516 104388625 104864320 106893952 107756000 117674450 119164000 121470400 129441895 131080400 133617440 150623296 151838000 163850500 167021800 169136000 172409600 188279120 190662400 207107032 208777250 209728640 213787904 215512000 235348900 238328000 242940800 258883790 262160800 267234880 294186125 301246592 303676000 327701000 334043600 338272000 376558240 414214064 417554500 419457280 431024000 470697800 476656000 485881600 517767580 524321600 534469760 588372250 602493184 607352000 647209475 655402000 668087200 753116480 828428128 835109000 862048000 941395600 953312000 1035535160 1048643200 1068939520 1176744500 1214704000 1294418950 1310804000 1336174400 1506232960 1656856256 1670218000 1882791200 2071070320 2097286400 2353489000 2429408000 2588837900 2621608000 2672348800 3012465920 3236047375 3313712512 3340436000 3765582400 4142140640 4706978000 5177675800 5243216000 5344697600 6472094750 6627425024 6680872000 7531164800 8284281280 9413956000 10355351600 10486432000 12944189500 13361744000 15062329600 16568562560 18827912000 20710703200 25888379000 26723488000 33137125120 37655824000 41421406400 51776758000 75311648000 82842812800 103553516000 165685625600 207107032000 414214064000 828428128000
• Sum of all divisors σ(n): 2355818250240
• Sum of proper divisors (its aliquot sum) s(n): 1527390122240
• 828428128000 is an abundant number, because the sum of its proper divisors (1527390122240) is greater than itself. Its abundance is 698961994240

Bases of 828428128000

• Binary: 1100000011100010001010100000111100000000₂
• Hexadecimal: 0xC0E22A0F00
• Base-36: AKKOPUKG

Squares and roots of 828428128000

• 828428128000 squared (828428128000²) is 686293163261584384000000
• 828428128000 cubed (828428128000³) is 568544560499992725551153152000000000
• The square root of 828428128000 is 910180.2722537991
• The cube root of 828428128000 is 9391.8600423951

Scales and comparisons

• 828,428,128,000 seconds is equal to 26,341 years, 23 weeks, 3 days, 12 hours, 26 minutes, 40 seconds.
• To count from 1 to 828,428,128,000 would take you about fifty-two thousand, six hundred eighty-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 828428128000 cubic inches would be around 782.7 feet tall.

Recreational maths with 828428128000

• 828428128000 backwards is 000821824828
• The number of decimal digits it has is: 12
• The sum of 828428128000's digits is 43
• More coming soon!