468328838400

Names of 468328838400

• Cardinal: 468328838400 can be written as Four hundred sixty-eight billion, three hundred twenty-eight million, eight hundred thirty-eight thousand, four hundred.

Scientific notation

• Scientific notation: 4.683288384 × 10¹¹

Factors of 468328838400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 2145

Divisors of 468328838400

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 30 32 34 36 40 45 48 50 51 60 64 68 72 75 80 85 90 96 100 102 120 128 136 144 150 153 160 170 180 192 200 204 225 240 255 256 257 272 288 300 306 320 340 360 384 400 408 425 450 480 510 514 544 576 600 612 640 680 720 765 768 771 800 816 850 900 960 1020 1028 1088 1152 1200 1224 1275 1280 1285 1360 1440 1530 1542 1600 1632 1700 1800 1861 1920 2040 2056 2176 2304 2313 2400 2448 2550 2570 2720 2880 3060 3084 3200 3264 3400 3600 3722 3825 3840 3855 4080 4112 4352 4369 4626 4800 4896 5100 5140 5440 5583 5760 6120 6168 6400 6425 6528 6800 7200 7444 7650 7710 8160 8224 8738 9252 9305 9600 9792 10200 10280 10880 11166 11520 11565 12240 12336 12850 13056 13107 13600 14400 14888 15300 15420 16320 16448 16749 17476 18504 18610 19200 19275 19584 20400 20560 21760 21845 22332 23130 24480 24672 25700 26214 27200 27915 28800 29776 30600 30840 31637 32640 32896 33498 34952 37008 37220 38550 39168 39321 40800 41120 43690 44664 46260 46525 48960 49344 51400 52428 54400 55830 57600 57825 59552 61200 61680 63274 65280 65535 65792 66996 69904 74016 74440 77100 78642 81600 82240 83745 87380 89328 92520 93050 94911 97920 98688 102800 104856 108800 109225 111660 115650 119104 122400 123360 126548 131070 133992 139575 139808 148032 148880 154200 157284 158185 163200 164480 167490 174760 178656 185040 186100 189822 195840 196605 197376 205600 209712 218450 223320 231300 238208 244800 246720 253096 262140 267984 279150 279616 284733 296064 297760 308400 314568 316370 326400 327675 328960 334980 349520 357312 370080 372200 379644 393210 411200 418725 419424 436900 446640 462600 474555 476416 478277 489600 493440 506192 524280 535968 558300 559232 569466 592128 595520 616800 629136 632740 655350 669960 699040 714624 740160 744400 759288 786420 790925 822400 837450 838848 873800 893280 925200 949110 956554 979200 983025 986880 1012384 1048560 1071936 1116600 1118464 1138932 1191040 1233600 1258272 1265480 1310700 1339920 1398080 1423665 1429248 1434831 1480320 1488800 1518576 1572840 1581850 1644800 1674900 1677696 1747600 1786560 1850400 1898220 1913108 1966050 2024768 2097120 2143872 2233200 2277864 2372775 2382080 2391385 2467200 2516544 2530960 2621400 2679840 2796160 2847330 2869662 2960640 2977600 3037152 3145680 3163700 3349800 3355392 3495200 3573120 3700800 3796440 3826216 3932100 4049536 4194240 4287744 4304493 4466400 4555728 4745550 4782770 4934400 5033088 5061920 5242800 5359680 5592320 5694660 5739324 5955200 6074304 6291360 6327400 6699600 6990400 7118325 7146240 7174155 7401600 7592880 7652432 7864200 8099072 8130709 8388480 8608986 8932800 9111456 9491100 9565540 10066176 10123840 10485600 10719360 11389320 11478648 11910400 11956925 12148608 12582720 12654800 13399200 13980800 14236650 14348310 14803200 15185760 15304864 15728400 16261418 16776960 17217972 17865600 18222912 18982200 19131080 20247680 20971200 21438720 21522465 22778640 22957296 23913850 24297216 24392127 25165440 25309600 26798400 27961600 28473300 28696620 30371520 30609728 31456800 32522836 34435944 35731200 35870775 36445824 37964400 38262160 40495360 40653545 41942400 43044930 45557280 45914592 47827700 48784254 50330880 50619200 53596800 56946600 57393240 60743040 61219456 62913600 65045672 68871888 71741550 72891648 73176381 75928800 76524320 81307090 83884800 86089860 91114560 91829184 95655400 97568508 101238400 107193600 107612325 113893200 114786480 121486080 121960635 122438912 125827200 130091344 137743776 143483100 146352762 151857600 153048640 162614180 172179720 182229120 183658368 191310800 195137016 202476800 203267725 215224650 227786400 229572960 243921270 251654400 260182688 275487552 286966200 292705524 303715200 306097280 325228360 344359440 364458240 365881905 367316736 382621600 390274032 406535450 430449300 455572800 459145920 487842540 520365376 550975104 573932400 585411048 607430400 609803175 612194560 650456720 688718880 731763810 765243200 780548064 813070900 860898600 911145600 918291840 975685080 1040730752 1101950208 1147864800 1170822096 1219606350 1300913440 1377437760 1463527620 1530486400 1561096128 1626141800 1721797200 1822291200 1829409525 1836583680 1951370160 2081461504 2295729600 2341644192 2439212700 2601826880 2754875520 2927055240 3060972800 3122192256 3252283600 3443594400 3658819050 3902740320 4591459200 4683288384 4878425400 5203653760 5509751040 5854110480 6244384512 6504567200 6887188800 7317638100 7805480640 9182918400 9366576768 9756850800 10407307520 11708220960 13009134400 13774377600 14635276200 15610961280 18733153536 19513701600 23416441920 26018268800 27548755200 29270552400 31221922560 39027403200 46832883840 52036537600 58541104800 78054806400 93665767680 117082209600 156109612800 234164419200 468328838400
• Sum of all divisors σ(n): 1780729010424
• Sum of proper divisors (its aliquot sum) s(n): 1312400172024
• 468328838400 is an abundant number, because the sum of its proper divisors (1312400172024) is greater than itself. Its abundance is 844071333624

Bases of 468328838400

• Binary: 110110100001010100100101111010100000000₂
• Hexadecimal: 0x6D0A92F500
• Base-36: 5Z5AWCG0

Squares and roots of 468328838400

• 468328838400 squared (468328838400²) is 219331900877093314560000
• 468328838400 cubed (468328838400³) is 102719454361833053176290607104000000
• The square root of 468328838400 is 684345.5548186165
• The cube root of 468328838400 is 7765.7540841917

Scales and comparisons

• 468,328,838,400 seconds is equal to 14,891 years, 21 weeks, 1 day, 16 hours.
• To count from 1 to 468,328,838,400 would take you about twenty-nine thousand, seven 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 468328838400 cubic inches would be around 647.1 feet tall.

Recreational maths with 468328838400

• 468328838400 backwards is 004838823864
• The number of decimal digits it has is: 12
• The sum of 468328838400's digits is 54
• More coming soon!