428136038400

Names of 428136038400

• Cardinal: 428136038400 can be written as Four hundred twenty-eight billion, one hundred thirty-six million, thirty-eight thousand, four hundred.

Scientific notation

• Scientific notation: 4.281360384 × 10¹¹

Factors of 428136038400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 665

Divisors of 428136038400

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 41 42 48 50 56 60 64 70 75 80 82 84 96 100 105 112 120 123 128 140 150 160 164 168 175 192 200 205 210 224 240 246 256 280 287 300 320 328 336 350 384 400 410 420 448 480 492 512 525 560 574 600 607 615 640 656 672 700 768 800 820 840 861 896 960 984 1024 1025 1050 1120 1148 1200 1214 1230 1280 1312 1344 1400 1435 1536 1600 1640 1680 1722 1792 1821 1920 1968 2048 2050 2100 2240 2296 2400 2428 2460 2560 2624 2688 2800 2870 3035 3072 3075 3200 3280 3360 3444 3584 3642 3840 3936 4096 4100 4200 4249 4305 4480 4592 4800 4856 4920 5120 5248 5376 5600 5740 6070 6144 6150 6400 6560 6720 6888 7168 7175 7284 7680 7872 8192 8200 8400 8498 8610 8960 9105 9184 9600 9712 9840 10240 10496 10752 11200 11480 12140 12288 12300 12747 12800 13120 13440 13776 14336 14350 14568 15175 15360 15744 16384 16400 16800 16996 17220 17920 18210 18368 19200 19424 19680 20480 20992 21245 21504 21525 22400 22960 24280 24576 24600 24887 25494 25600 26240 26880 27552 28672 28700 29136 30350 30720 31488 32768 32800 33600 33992 34440 35840 36420 36736 38400 38848 39360 40960 41984 42490 43008 43050 44800 45525 45920 48560 49152 49200 49774 50988 51200 52480 53760 55104 57344 57400 58272 60700 61440 62976 63735 65600 67200 67984 68880 71680 72840 73472 74661 76800 77696 78720 81920 83968 84980 86016 86100 89600 91050 91840 97120 98304 98400 99548 101976 102400 104960 106225 107520 110208 114688 114800 116544 121400 122880 124435 125952 127470 131200 134400 135968 137760 143360 145680 146944 149322 153600 155392 157440 163840 167936 169960 172032 172200 174209 179200 182100 183680 194240 196800 199096 203952 204800 209920 212450 215040 220416 229376 229600 233088 242800 245760 248870 251904 254940 262400 268800 271936 275520 286720 291360 293888 298644 307200 310784 314880 318675 335872 339920 344064 344400 348418 358400 364200 367360 373305 388480 393600 398192 407904 409600 419840 424900 430080 440832 459200 466176 485600 491520 497740 503808 509880 522627 524800 537600 543872 551040 573440 582720 587776 597288 614400 621568 622175 629760 637350 671744 679840 688128 688800 696836 716800 728400 734720 746610 776960 787200 796384 815808 819200 839680 849800 860160 871045 881664 918400 932352 971200 995480 1007616 1019760 1045254 1049600 1075200 1087744 1102080 1146880 1165440 1175552 1194576 1228800 1243136 1244350 1259520 1274700 1343488 1359680 1377600 1393672 1433600 1456800 1469440 1493220 1553920 1574400 1592768 1631616 1679360 1699600 1720320 1742090 1763328 1836800 1864704 1866525 1942400 1990960 2015232 2039520 2090508 2099200 2150400 2175488 2204160 2330880 2351104 2389152 2457600 2486272 2488700 2519040 2549400 2613135 2719360 2755200 2787344 2867200 2913600 2938880 2986440 3107840 3148800 3185536 3263232 3358720 3399200 3440640 3484180 3526656 3673600 3729408 3733050 3884800 3981920 4030464 4079040 4181016 4198400 4300800 4350976 4355225 4408320 4661760 4702208 4778304 4972544 4977400 5038080 5098800 5226270 5438720 5510400 5574688 5734400 5827200 5877760 5972880 6215680 6297600 6371072 6526464 6717440 6798400 6968360 7053312 7347200 7458816 7466100 7769600 7963840 8158080 8362032 8396800 8601600 8701952 8710450 8816640 9323520 9404416 9556608 9945088 9954800 10076160 10197600 10452540 10877440 11020800 11149376 11654400 11755520 11945760 12431360 12595200 12742144 13052928 13065675 13596800 13936720 14106624 14694400 14917632 14932200 15539200 15927680 16316160 16724064 16793600 17203200 17403904 17420900 17633280 18647040 19113216 19890176 19909600 20152320 20395200 20905080 21754880 22041600 22298752 23308800 23511040 23891520 24862720 25190400 25484288 26105856 26131350 27193600 27873440 28213248 29388800 29835264 29864400 31078400 31855360 32632320 33448128 33587200 34807808 34841800 35266560 37294080 38226432 39819200 40790400 41810160 43509760 44083200 44597504 46617600 47022080 47783040 49725440 50380800 50968576 52211712 52262700 54387200 55746880 58777600 59670528 59728800 62156800 63710720 65264640 66896256 69615616 69683600 70533120 74588160 76452864 79638400 81580800 83620320 87019520 88166400 89195008 93235200 95566080 99450880 100761600 101937152 104423424 104525400 108774400 111493760 117555200 119457600 124313600 127421440 130529280 133792512 139231232 139367200 141066240 149176320 152905728 159276800 163161600 167240640 174039040 176332800 178390016 186470400 191132160 203874304 208846848 209050800 217548800 222987520 235110400 238915200 248627200 254842880 261058560 267585024 278734400 298352640 305811456 318553600 326323200 334481280 348078080 352665600 356780032 372940800 382264320 407748608 417693696 418101600 435097600 445975040 477830400 497254400 509685760 522117120 535170048 557468800 611622912 637107200 652646400 668962560 696156160 705331200 713560064 745881600 764528640 815497216 836203200 870195200 891950080 955660800 1019371520 1044234240 1070340096 1114937600 1223245824 1274214400 1305292800 1337925120 1427120128 1491763200 1529057280 1672406400 1740390400 1783900160 1911321600 2038743040 2088468480 2140680192 2229875200 2446491648 2548428800 2610585600 2675850240 2854240256 3058114560 3344812800 3480780800 3567800320 3822643200 4077486080 4281360384 4459750400 5096857600 5221171200 5351700480 5708480512 6116229120 6689625600 7135600640 7645286400 8562720768 8919500800 10193715200 10442342400 10703400960 12232458240 13379251200 14271201280 15290572800 17125441536 17839001600 20387430400 21406801920 26758502400 28542402560 30581145600 35678003200 42813603840 53517004800 61162291200 71356006400 85627207680 107034009600 142712012800 214068019200 428136038400
• Sum of all divisors σ(n): 1660113745920
• Sum of proper divisors (its aliquot sum) s(n): 1231977707520
• 428136038400 is an abundant number, because the sum of its proper divisors (1231977707520) is greater than itself. Its abundance is 803841669120

Bases of 428136038400

• Binary: 110001110101110111001011000000000000000₂
• Hexadecimal: 0x63AEE58000
• Base-36: 5GOL55HC

Squares and roots of 428136038400

• 428136038400 squared (428136038400²) is 183300467376846274560000
• 428136038400 cubed (428136038400³) is 78477535939591403875917103104000000
• The square root of 428136038400 is 654321.0514724407
• The cube root of 428136038400 is 7536.9204027265

Scales and comparisons

• 428,136,038,400 seconds is equal to 13,613 years, 20 weeks, 6 days, 5 hours, 20 minutes.
• To count from 1 to 428,136,038,400 would take you about twenty-seven thousand, two hundred twenty-six 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 428136038400 cubic inches would be around 628.1 feet tall.

Recreational maths with 428136038400

• 428136038400 backwards is 004830631824
• The number of decimal digits it has is: 12
• The sum of 428136038400's digits is 39
• More coming soon!