45664018400

Names of 45664018400

• Cardinal: 45664018400 can be written as Forty-five billion, six hundred sixty-four million, eighteen thousand, four hundred.

Scientific notation

• Scientific notation: 4.56640184 × 10¹⁰

Factors of 45664018400

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 614

Divisors of 45664018400

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 4 5 7 8 10 11 13 14 16 20 22 25 26 28 32 35 40 44 50 52 55 56 65 70 77 80 88 91 100 104 110 112 127 130 140 143 154 160 175 176 182 200 208 220 224 254 260 275 280 286 308 325 350 352 364 385 400 416 440 449 455 508 520 550 560 572 616 635 650 700 715 728 770 800 880 889 898 910 1001 1016 1040 1100 1120 1144 1232 1270 1300 1397 1400 1430 1456 1540 1651 1760 1778 1796 1820 1925 2002 2032 2080 2200 2245 2275 2288 2464 2540 2600 2794 2800 2860 2912 3080 3143 3175 3302 3556 3575 3592 3640 3850 4004 4064 4400 4445 4490 4550 4576 4939 5005 5080 5200 5588 5600 5720 5837 6160 6286 6350 6604 6985 7112 7150 7184 7280 7700 8008 8255 8800 8890 8980 9100 9779 9878 10010 10160 10400 11176 11225 11440 11557 11674 12320 12572 12700 13208 13970 14224 14300 14368 14560 15400 15715 16016 16510 17780 17960 18161 18200 19558 19756 20020 20320 22225 22352 22450 22880 23114 23348 24695 25025 25144 25400 26416 27940 28448 28600 29185 30800 31430 32032 33020 34573 34925 35560 35920 36322 36400 39116 39512 40040 40859 41275 44450 44704 44900 46228 46696 48895 49390 50050 50288 50800 52832 55880 57023 57200 57785 58370 61600 62860 64207 66040 69146 69850 71120 71840 72644 72800 78232 78575 79024 80080 81718 82550 88900 89800 90805 92456 93392 97790 98780 100100 100576 101600 111760 114046 114400 115570 116740 123475 125720 127127 128414 132080 138292 139700 142240 145288 145925 156464 157150 158048 160160 163436 165100 172865 177800 179600 181610 184912 186784 195580 197560 200200 204295 223520 228092 231140 233480 244475 246950 251440 254254 256828 264160 276584 279400 285115 288925 290576 291850 312928 314300 321035 326872 330200 345730 355600 359200 363220 369824 391160 395120 399161 400400 408590 449449 454025 456184 462280 466960 488950 493900 502880 508508 513656 553168 558800 570230 577850 581152 583700 627253 628600 635635 642070 653744 660400 691460 711200 726440 741299 782320 790240 798322 800800 817180 864325 898898 908050 912368 924560 933920 977900 987800 1017016 1021475 1027312 1106336 1117600 1140460 1155700 1167400 1254506 1257200 1271270 1284140 1307488 1320800 1382920 1425575 1452880 1482598 1564640 1596644 1605175 1634360 1728650 1797796 1816100 1824736 1849120 1955800 1975600 1995805 2034032 2042950 2054624 2247245 2280920 2311400 2334800 2509012 2514400 2542540 2568280 2765840 2851150 2905760 2965196 3136265 3178175 3193288 3210350 3268720 3457300 3595592 3632200 3706495 3911600 3951200 3991610 4068064 4085900 4390771 4494490 4561840 4622800 4669600 5018024 5085080 5136560 5189093 5531680 5702300 5930392 6272530 6356350 6386576 6420700 6537440 6914600 7191184 7264400 7412990 7823200 7983220 8154289 8171800 8781542 8988980 9123680 9245600 9979025 10036048 10170160 10273120 10378186 11236225 11404600 11860784 12545060 12712700 12773152 12841400 13829200 14382368 14528800 14825980 15681325 15966440 16308578 16343600 17563084 17977960 18532475 19958050 20072096 20340320 20756372 21953855 22472450 22809200 23721568 25090120 25425400 25682800 25945465 27658400 29651960 31362650 31932880 32617156 32687200 35126168 35955920 37064950 39916100 40771445 41512744 43907710 44944900 45618400 50180240 50850800 51365600 51890930 57080023 59303920 62725300 63865760 65234312 70252336 71911840 74129900 79832200 81542890 83025488 87815420 89889800 100360480 101701600 103781860 109769275 114160046 118607840 125450600 129727325 130468624 140504672 148259800 159664400 163085780 166050976 175630840 179779600 203857225 207563720 219538550 228320092 250901200 259454650 260937248 285400115 296519600 319328800 326171560 351261680 359559200 407714450 415127440 439077100 456640184 501802400 518909300 570800230 593039200 652343120 702523360 815428900 830254880 878154200 913280368 1037818600 1141600460 1304686240 1427000575 1630857800 1756308400 1826560736 2075637200 2283200920 2854001150 3261715600 3512616800 4151274400 4566401840 5708002300 6523431200 9132803680 11416004600 22832009200 45664018400
• Sum of all divisors σ(n): 151190323200
• Sum of proper divisors (its aliquot sum) s(n): 105526304800
• 45664018400 is an abundant number, because the sum of its proper divisors (105526304800) is greater than itself. Its abundance is 59862286400

Bases of 45664018400

• Binary: 101010100001110010011001111111100000₂
• Hexadecimal: 0xAA1C99FE0
• Base-36: KZ76E3K

Squares and roots of 45664018400

• 45664018400 squared (45664018400²) is 2085202576435538560000
• 45664018400 cubed (45664018400³) is 95218728818079839217749504000000
• The square root of 45664018400 is 213691.4092798305
• The cube root of 45664018400 is 3574.3030809329

Scales and comparisons

• 45,664,018,400 seconds is equal to 1,451 years, 50 weeks, 4 days, 17 hours, 33 minutes, 20 seconds.
• To count from 1 to 45,664,018,400 would take you about two thousand, nine hundred three 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 45664018400 cubic inches would be around 297.9 feet tall.

Recreational maths with 45664018400

• 45664018400 backwards is 00481046654
• The number of decimal digits it has is: 11
• The sum of 45664018400's digits is 38
• More coming soon!