345163143908800

Names of 345163143908800

• Cardinal: 345163143908800 can be written as Three hundred forty-five trillion, one hundred sixty-three billion, one hundred forty-three million, nine hundred eight thousand, eight hundred.

Scientific notation

• Scientific notation: 3.451631439088 × 10¹⁴

Factors of 345163143908800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 129605

Divisors of 345163143908800

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 31 32 35 40 50 56 62 64 70 80 100 112 124 140 155 160 175 200 217 224 248 280 310 320 350 400 434 448 496 560 620 700 775 800 868 992 1085 1120 1240 1400 1550 1600 1736 1984 2170 2240 2480 2800 3100 3472 4340 4960 5425 5600 6200 6944 8191 8680 9920 10850 11200 12400 13888 16382 17360 21700 24800 32764 34720 40955 43400 49600 57337 65528 69440 81910 86800 114674 121369 131056 163820 173600 204775 229348 242738 253921 262112 286685 327640 347200 409550 458696 485476 507842 524224 573370 606845 655280 819100 849583 917392 970952 1015684 1146740 1213690 1269605 1310560 1433425 1638200 1699166 1777447 1834784 1941904 2031368 2293480 2427380 2539210 2621120 2866850 3034225 3276400 3398332 3554894 3669568 3762439 3883808 4062736 4247915 4586960 4854760 5078420 5733700 6068450 6348025 6552800 6796664 7109788 7524878 7767616 8125472 8495830 8887235 9173920 9709520 10156840 11467400 12136900 12696050 13105600 13593328 14219576 15049756 16250944 16991660 17774470 18347840 18812195 19419040 20313680 21239575 22934800 24273800 25392100 26337073 27186656 28439152 30099512 33983320 35548940 37624390 38838080 40627360 42479150 44436175 45869600 48547600 50784200 52674146 54373312 56878304 60199024 67966640 71097880 75248780 81254720 84958300 88872350 91739200 94060975 97095200 101568400 105348292 113756608 120398048 131685365 135933280 142195760 150497560 169916600 177744700 188121950 194190400 203136800 210696584 240796096 263370730 271866560 284391520 300995120 339833200 355489400 376243900 406273600 421393168 526741460 568783040 601990240 658426825 679666400 710978800 752487800 842786336 994133479 1053482920 1203980480 1316853650 1359332800 1421957600 1504975600 1685572672 1988266958 2106965840 2633707300 2843915200 3009951200 3976533916 4213931680 4970667395 5267414600 6019902400 6958934353 7953067832 8427863360 9941334790 10534829200 13917868706 15906135664 19882669580 21069658400 24853336975 27835737412 30818137849 31812271328 34794671765 39765339160 42139316800 49706673950 55671474824 61636275698 63624542656 69589343530 79530678320 99413347900 111342949648 123272551396 139178687060 154090689245 159061356640 173973358825 198826695800 215726964943 222685899296 246545102792 278357374120 308181378490 318122713280 347946717650 397653391600 431453929886 445371798592 493090205584 556714748240 616362756980 695893435300 770453446225 795306783200 862907859772 986180411168 1078634824715 1113429496480 1232725513960 1391786870600 1540906892450 1590613566400 1725815719544 1972360822336 2157269649430 2226858992960 2465451027920 2783573741200 3081813784900 3451631439088 4314539298860 4930902055840 5393174123575 5567147482400 6163627569800 6903262878176 8629078597720 9861804111680 10786348247150 11134294964800 12327255139600 13806525756352 17258157195440 21572696494300 24654510279200 34516314390880 43145392988600 49309020558400 69032628781760 86290785977200 172581571954400 345163143908800
• Sum of all divisors σ(n): 1002089878650880
• Sum of proper divisors (its aliquot sum) s(n): 656926734742080
• 345163143908800 is an abundant number, because the sum of its proper divisors (656926734742080) is greater than itself. Its abundance is 311763590833280

Bases of 345163143908800

• Binary: 1001110011110110010001110100101010000110111000000₂
• Hexadecimal: 0x139EC8E950DC0
• Base-36: 3ECLRC19DS

Squares and roots of 345163143908800

• 345163143908800 squared (345163143908800²) is 119137595913006978542717440000
• 345163143908800 cubed (345163143908800³) is 41121907163069690460478653450935529472000000
• The square root of 345163143908800 is 18578566.7883397291
• The cube root of 345163143908800 is 70146.8443846911

Scales and comparisons

• 345,163,143,908,800 seconds is equal to 10,975,120 years, 16 weeks, 3 days, 5 hours, 46 minutes, 40 seconds.
• To count from 1 to 345,163,143,908,800 would take you about twenty-seven million, four hundred thirty-seven thousand, eight hundred 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 345163143908800 cubic inches would be around 5845.6 feet tall.

Recreational maths with 345163143908800

• 345163143908800 backwards is 008809341361543
• The number of decimal digits it has is: 15
• The sum of 345163143908800's digits is 55
• More coming soon!