164085074400

Names of 164085074400

• Cardinal: 164085074400 can be written as One hundred sixty-four billion, eighty-five million, seventy-four thousand, four hundred.

Scientific notation

• Scientific notation: 1.640850744 × 10¹¹

Factors of 164085074400

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 542

Divisors of 164085074400

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 25 26 30 32 34 39 40 48 50 51 52 53 60 65 68 75 78 80 85 96 100 102 104 106 120 130 136 150 156 159 160 169 170 195 200 204 208 212 221 240 255 260 265 272 300 312 318 325 338 340 390 400 408 416 424 425 442 449 480 507 510 520 530 544 600 624 636 650 663 676 680 689 780 795 800 816 845 848 850 884 898 901 975 1014 1020 1040 1060 1105 1200 1248 1272 1275 1300 1325 1326 1347 1352 1360 1378 1560 1590 1632 1690 1696 1700 1768 1796 1802 1950 2028 2040 2067 2080 2120 2210 2245 2400 2535 2544 2550 2600 2650 2652 2694 2703 2704 2720 2756 2873 3120 3180 3315 3380 3400 3445 3536 3592 3604 3900 3975 4056 4080 4134 4225 4240 4420 4490 4505 5070 5088 5100 5200 5300 5304 5388 5406 5408 5512 5525 5746 5837 6240 6360 6630 6735 6760 6800 6890 7072 7184 7208 7633 7800 7950 8112 8160 8268 8450 8480 8619 8840 8957 8980 9010 10140 10200 10335 10400 10600 10608 10776 10812 11024 11050 11225 11492 11674 11713 12675 12720 13260 13470 13515 13520 13600 13780 14365 14368 14416 15266 15600 15900 16224 16536 16575 16900 17225 17238 17511 17680 17914 17960 18020 20280 20400 20670 21200 21216 21552 21624 22048 22100 22450 22525 22899 22984 23348 23426 23797 25350 25440 26520 26871 26940 27030 27040 27560 28730 28832 29185 30532 31200 31800 33072 33150 33675 33800 34450 34476 35022 35139 35360 35828 35920 36040 38165 40560 40800 41340 42400 43095 43104 43248 44200 44785 44900 45050 45798 45968 46696 46852 47594 50700 51675 53040 53742 53880 54060 55120 57460 58370 58565 61064 63600 66144 66300 67350 67575 67600 68900 68952 70044 70278 71391 71656 71825 71840 72080 75881 76330 81120 82680 86190 86496 87555 88400 89570 89800 90100 91596 91936 93392 93704 95188 99229 101400 103350 106080 107484 107760 108120 110240 114495 114920 116740 117130 118985 122128 127200 132600 134355 134700 135150 135200 137800 137904 140088 140556 142782 143312 143650 144160 145925 151762 152269 152660 165360 172380 175110 175695 176800 179140 179600 180200 183192 186784 187408 190376 190825 198458 202800 206700 214968 215475 215520 216240 223925 227643 228990 229840 233480 234260 237970 244256 265200 268710 269400 270300 275600 275808 280176 281112 285564 286624 287300 291850 292825 297687 303524 304538 305320 309361 330720 344760 350220 351390 356955 358280 359200 360400 366384 374816 379405 380752 381650 396916 404549 405600 413400 429936 430950 432480 437775 447850 455286 456807 457980 459680 466960 468520 475940 496145 530400 537420 538800 540600 551200 560352 562224 571128 572475 574600 583700 585650 594925 595374 607048 609076 610640 618722 671775 689520 700440 702780 713910 716560 720800 732768 758810 761345 761504 763300 793832 809098 826800 859872 861900 875550 878475 895700 910572 913614 915960 928083 933920 937040 951880 992290 1074840 1077600 1081200 1124448 1138215 1142256 1144950 1149200 1167400 1171300 1189850 1190748 1213647 1214096 1218152 1221280 1237444 1289977 1343550 1379040 1400880 1405560 1427820 1433120 1488435 1517620 1522690 1526600 1546805 1587664 1618196 1653600 1723800 1751100 1756950 1784775 1791400 1821144 1827228 1831920 1856166 1874080 1897025 1903760 1984580 2022745 2149680 2162400 2276430 2284035 2284512 2289900 2298400 2334800 2342600 2379700 2381496 2427294 2428192 2436304 2474888 2480725 2579954 2687100 2801760 2811120 2855640 2976870 3035240 3045380 3053200 3093610 3175328 3236392 3447600 3502200 3513900 3569550 3582800 3642288 3654456 3663840 3712332 3794050 3806725 3807520 3869931 3969160 4021693 4045490 4299360 4552860 4568070 4579800 4640415 4669600 4685200 4759400 4762992 4854588 4872608 4949776 4961450 5159908 5259137 5374200 5622240 5691075 5711280 5953740 6068235 6070480 6090760 6106400 6187220 6449885 6472784 6895200 7004400 7027800 7139100 7165600 7284576 7308912 7424664 7442175 7588100 7613450 7734025 7739862 7938320 8043386 8090980 9105720 9136140 9159600 9280830 9370400 9518800 9525984 9709176 9899552 9922900 10113725 10319816 10518274 10748400 11382150 11420175 11422560 11907480 12065079 12136470 12140960 12181520 12374440 12899770 12945568 14008800 14055600 14278200 14617824 14849328 14884350 15176200 15226900 15468050 15479724 15777411 15876640 16086772 16181960 18211440 18272280 18319200 18561660 19037600 19349655 19418352 19845800 20108465 20227450 20639632 21036548 21496800 22764300 22840350 23202075 23814960 24130158 24272940 24363040 24748880 25799540 26295685 28111200 28556400 29698656 29768700 30341175 30352400 30453800 30936100 30959448 31554822 32173544 32249425 32363920 36422880 36544560 37123320 38699310 38836704 39691600 40216930 40454900 41279264 42073096 45528600 45680700 46404150 47629920 48260316 48545880 49497760 51599080 52591370 57112800 59537400 60325395 60682350 60704800 60907600 61872200 61918896 63109644 64347088 64498850 64727840 68368781 73089120 74246640 77398620 78887055 79383200 80433860 80909800 84146192 91057200 91361400 92808300 96520632 96748275 97091760 100542325 103198160 105182740 119074800 120650790 121364700 121815200 123744400 123837792 126219288 128694176 128997700 131478425 136737562 148493280 154797240 157774110 160867720 161819600 168292384 182114400 182722800 185616600 193041264 193496550 194183520 201084650 205106343 206396320 210365480 238149600 241301580 242729400 247488800 252438576 257995400 262956850 273475124 301626975 309594480 315548220 321735440 323639200 341843905 365445600 371233200 386082528 386993100 394435275 402169300 410212686 420730960 482603160 485458800 504877152 515990800 525913700 546950248 603253950 619188960 631096440 643470880 683687810 742466400 773986200 788870550 804338600 820425372 841461920 965206320 970917600 1025531715 1031981600 1051827400 1093900496 1206507900 1262192880 1367375620 1547972400 1577741100 1608677200 1640850744 1709219525 1930412640 2051063430 2103654800 2187800992 2413015800 2524385760 2734751240 3095944800 3155482200 3217354400 3281701488 3418439050 4102126860 4207309600 4826031600 5127658575 5469502480 6310964400 6563402976 6836878100 8204253720 9652063200 10255317150 10939004960 12621928800 13673756200 16408507440 20510634300 27347512400 32817014880 41021268600 54695024800 82042537200 164085074400
• Sum of all divisors σ(n): 625305290400
• Sum of proper divisors (its aliquot sum) s(n): 461220216000
• 164085074400 is an abundant number, because the sum of its proper divisors (461220216000) is greater than itself. Its abundance is 297135141600

Bases of 164085074400

• Binary: 10011000110100001110111000100111100000₂
• Hexadecimal: 0x26343B89E0
• Base-36: 23DO0LPC

Squares and roots of 164085074400

• 164085074400 squared (164085074400²) is 26923911640853535360000
• 164085074400 cubed (164085074400³) is 4417812044728478429048630784000000
• The square root of 164085074400 is 405074.1591363241
• The cube root of 164085074400 is 5474.6499991017

Scales and comparisons

• 164,085,074,400 seconds is equal to 5,217 years, 20 weeks, 4 days, 19 hours, 20 minutes.
• To count from 1 to 164,085,074,400 would take you about ten thousand, four hundred thirty-four 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 164085074400 cubic inches would be around 456.2 feet tall.

Recreational maths with 164085074400

• 164085074400 backwards is 004470580461
• 164085074400 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 164085074400's digits is 39
• More coming soon!