345141047314800

Names of 345141047314800

• Cardinal: 345141047314800 can be written as Three hundred forty-five trillion, one hundred forty-one billion, forty-seven million, three hundred fourteen thousand, eight hundred.

Scientific notation

• Scientific notation: 3.451410473148 × 10¹⁴

Factors of 345141047314800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 1260549

Divisors of 345141047314800

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 33 36 40 44 45 48 50 54 55 60 66 72 75 80 88 90 99 100 108 110 120 132 135 144 150 165 176 180 198 200 216 220 225 240 264 270 275 297 300 330 360 396 400 432 440 450 495 528 540 550 594 600 660 675 720 792 825 880 900 990 1080 1100 1188 1200 1320 1350 1485 1584 1650 1800 1980 2160 2200 2309 2376 2475 2640 2700 2970 3300 3600 3960 4400 4618 4752 4950 5400 5940 6600 6927 7425 7920 9236 9900 10800 11545 11880 13200 13854 14850 18472 19800 20781 23090 23760 25399 27708 29700 34635 36944 39600 41562 46180 50798 55416 57725 59400 62343 69270 76197 83124 92360 101596 103905 110832 115450 118800 124686 126995 138540 152394 166248 173175 184720 203192 207810 228591 230900 249372 253990 277080 304788 311715 332496 346350 380985 406384 415620 457182 461800 498744 507980 519525 554160 609576 623430 634975 685773 692700 761970 831240 914364 923600 997488 1015960 1039050 1142955 1219152 1246860 1258219 1269950 1371546 1385400 1523940 1558575 1662480 1828728 1904925 2031920 2078100 2285910 2493720 2516438 2539900 2743092 2770800 3047880 3117150 3428865 3657456 3774657 3809850 4156200 4571820 4987440 5032876 5079800 5486184 5714775 6095760 6234300 6291095 6857730 7549314 7619700 8312400 9143640 10065752 10159600 10972368 11323971 11429550 12468600 12582190 13715460 13840409 15098628 15239400 17144325 18287280 18873285 20131504 22647942 22859100 24937200 25164380 27430920 27680818 30197256 30478800 31455475 33971913 34288650 37746570 41521227 45295884 45718200 50328760 54861840 55361636 56619855 60394512 62910950 67943826 68577300 69202045 75493140 83042454 90591768 91436400 94366425 100657520 110723272 113239710 124563681 125821900 135887652 137154600 138404090 150986280 166084908 169859565 181183536 188732850 207606135 221446544 226479420 249127362 251643800 271775304 274309200 276808180 283099275 301972560 332169816 339719130 346010225 373691043 377465700 415212270 452958840 498254724 503287600 543550608 553616360 566198550 622818405 664339632 679438260 692020450 747382086 754931400 830424540 849297825 905917680 996509448 1038030675 1107232720 1132397100 1245636810 1358876520 1384040900 1494764172 1509862800 1660849080 1698595650 1868455215 1993018896 2076061350 2264794200 2491273620 2717753040 2768081800 2905227671 2989528344 3114092025 3321698160 3397191300 3736910430 4152122700 4529588400 4982547240 5536163600 5810455342 5979056688 6228184050 6794382600 7473820860 8304245400 8715683013 9342276075 9965094480 11620910684 12456368100 13588765200 14526138355 14947641720 16608490800 17431366026 18684552150 23241821368 24912736200 26147049039 29052276710 29895283440 31957504381 34862732052 37369104300 43578415065 46483642736 49825472400 52294098078 58104553420 63915008762 69725464104 72630691775 74738208600 78441147117 87156830130 95872513143 104588196156 116209106840 127830017524 130735245195 139450928208 145261383550 149476417200 156882294234 159787521905 174313660260 191745026286 209176392312 217892075325 232418213680 255660035048 261470490390 287617539429 290522767100 313764588468 319575043810 348627320520 383490052572 392205735585 418352784624 435784150650 479362565715 511320070096 522940980780 575235078858 581045534200 627529176936 639150087620 653676225975 697254641040 766980105144 784411471170 798937609525 862852618287 871568301300 958725131430 1045881961560 1150470157716 1162091068400 1255058353872 1278300175240 1307352451950 1438087697145 1533960210288 1568822942340 1597875219050 1725705236574 1743136602600 1917450262860 1961028677925 2091763923120 2300940315432 2396812828575 2556600350480 2614704903900 2876175394290 3137645884680 3195750438100 3451410473148 3486273205200 3834900525720 3922057355850 4314263091435 4601880630864 4793625657150 5229409807800 5752350788580 6275291769360 6391500876200 6902820946296 7190438485725 7669801051440 7844114711700 8628526182870 9587251314300 10458819615600 11504701577160 12783001752400 13805641892592 14380876971450 15688229423400 17257052365740 19174502628600 21571315457175 23009403154320 28761753942900 31376458846800 34514104731480 38349005257200 43142630914350 57523507885800 69028209462960 86285261828700 115047015771600 172570523657400 345141047314800
• Sum of all divisors σ(n): 1340704876896000
• Sum of proper divisors (its aliquot sum) s(n): 995563829581200
• 345141047314800 is an abundant number, because the sum of its proper divisors (995563829581200) is greater than itself. Its abundance is 650422782266400

Bases of 345141047314800

• Binary: 1001110011110011101101001100001011100100101110000₂
• Hexadecimal: 0x139E76985C970
• Base-36: 3ECBLWAKC0

Squares and roots of 345141047314800

• 345141047314800 squared (345141047314800²) is 119122342541557012290299040000
• 345141047314800 cubed (345141047314800³) is 41114010063385341664147826077681017792000000
• The square root of 345141047314800 is 18577972.0990962843
• The cube root of 345141047314800 is 70145.3474699273

Scales and comparisons

• 345,141,047,314,800 seconds is equal to 10,974,417 years, 37 weeks, 15 hours.
• To count from 1 to 345,141,047,314,800 would take you about twenty-seven million, four hundred thirty-six thousand and forty-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 345141047314800 cubic inches would be around 5845.4 feet tall.

Recreational maths with 345141047314800

• 345141047314800 backwards is 008413740141543
• 345141047314800 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 345141047314800's digits is 45
• More coming soon!