45034766400

Names of 45034766400

• Cardinal: 45034766400 can be written as Forty-five billion, thirty-four million, seven hundred sixty-six thousand, four hundred.

Scientific notation

• Scientific notation: 4.50347664 × 10¹⁰

Factors of 45034766400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 805

Divisors of 45034766400

• Number of divisors d(n): 504
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 31 32 39 40 48 50 52 60 62 64 65 75 78 80 93 96 100 104 120 124 130 150 155 156 160 186 192 195 200 208 240 248 260 300 310 312 320 325 372 390 400 403 416 465 480 496 520 600 620 624 650 744 751 775 780 800 806 832 930 960 961 975 992 1040 1200 1209 1240 1248 1300 1488 1502 1550 1560 1600 1612 1860 1922 1950 1984 2015 2080 2253 2325 2400 2418 2480 2496 2600 2883 2976 3004 3100 3120 3224 3720 3755 3844 3900 4030 4160 4506 4650 4800 4805 4836 4960 5200 5766 5952 6008 6045 6200 6240 6448 7440 7510 7688 7800 8060 9012 9300 9610 9672 9763 9920 10075 10400 11265 11532 12016 12090 12400 12480 12493 12896 14415 14880 15020 15376 15600 16120 18024 18600 18775 19220 19344 19526 20150 20800 22530 23064 23281 24025 24032 24180 24800 24986 25792 28830 29289 29760 30040 30225 30752 31200 32240 36048 37200 37479 37550 38440 38688 39052 40300 45060 46128 46562 48050 48064 48360 48815 49600 49972 56325 57660 58578 60080 60450 61504 62400 62465 64480 69843 72075 72096 74400 74958 75100 76880 77376 78104 80600 90120 92256 93124 96100 96720 97630 99944 112650 115320 116405 117156 120160 120900 124930 128960 139686 144150 144192 146445 148800 149916 150200 153760 156208 161200 180240 184512 186248 187395 192200 193440 195260 199888 225300 230640 232810 234312 240320 241800 244075 249860 279372 288300 292890 299832 300400 302653 307520 312325 312416 322400 349215 360480 372496 374790 384400 386880 390520 399776 450600 461280 465620 468624 483600 488150 499720 558744 576600 582025 585780 599664 600800 605306 624650 624832 644800 698430 720960 721711 732225 744992 749580 768800 781040 799552 901200 907959 922560 931240 936975 937248 967200 976300 999440 1117488 1153200 1164050 1171560 1199328 1201600 1210612 1249300 1396860 1443422 1464450 1489984 1499160 1513265 1537600 1562080 1746075 1802400 1815918 1862480 1873950 1874496 1934400 1952600 1998880 2165133 2234976 2306400 2328100 2343120 2398656 2421224 2498600 2793720 2886844 2928900 2998320 3026530 3124160 3492150 3604800 3608555 3631836 3724960 3747900 3905200 3997760 4330266 4469952 4539795 4612800 4656200 4686240 4842448 4997200 5587440 5773688 5857800 5996640 6053060 6984300 7217110 7263672 7449920 7495800 7566325 7810400 8660532 9079590 9312400 9372480 9382243 9684896 9994400 10825665 11174880 11547376 11715600 11993280 12106120 13968600 14434220 14527344 14991600 15132650 15620800 17321064 18042775 18159180 18624800 18764486 19369792 19988800 21651330 22349760 22698975 23094752 23431200 24212240 27937200 28146729 28868440 29054688 29983200 30265300 34642128 36085550 36318360 37249600 37528972 43302660 45397950 46189504 46862400 46911215 48424480 54128325 55874400 56293458 57736880 58109376 59966400 60530600 69284256 72171100 72636720 75057944 86605320 90795900 93822430 96848960 108256650 111748800 112586916 115473760 121061200 138568512 140733645 144342200 145273440 150115888 173210640 181591800 187644860 216513300 225173832 230947520 234556075 242122400 281467290 288684400 290546880 300231776 346421280 363183600 375289720 433026600 450347664 469112150 484244800 562934580 577368800 600463552 692842560 703668225 726367200 750579440 866053200 900695328 938224300 1125869160 1154737600 1407336450 1452734400 1501158880 1732106400 1801390656 1876448600 2251738320 2814672900 3002317760 3464212800 3752897200 4503476640 5629345800 7505794400 9006953280 11258691600 15011588800 22517383200 45034766400
• Sum of all divisors σ(n): 164634379392
• Sum of proper divisors (its aliquot sum) s(n): 119599612992
• 45034766400 is an abundant number, because the sum of its proper divisors (119599612992) is greater than itself. Its abundance is 74564846592

Bases of 45034766400

• Binary: 101001111100010010000000000001000000₂
• Hexadecimal: 0xA7C480040
• Base-36: KOSJC5C

Squares and roots of 45034766400

• 45034766400 squared (45034766400²) is 2028130184702568960000
• 45034766400 cubed (45034766400³) is 91336369096869046593490944000000
• The square root of 45034766400 is 212213.9637252931
• The cube root of 45034766400 is 3557.8090714747

Scales and comparisons

• 45,034,766,400 seconds is equal to 1,431 years, 50 weeks, 1 day, 17 hours, 20 minutes.
• To count from 1 to 45,034,766,400 would take you about two thousand, eight hundred sixty-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 45034766400 cubic inches would be around 296.5 feet tall.

Recreational maths with 45034766400

• 45034766400 backwards is 00466743054
• 45034766400 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 45034766400's digits is 39
• More coming soon!