122228416960
122,228,416,960 is an even composite number composed of seven prime numbers multiplied together.
What does the number 122228416960 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 448 divisors.
122228416960 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 122228416960:
26 × 5 × 13 × 17 × 31 × 127 × 439
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 13 × 17 × 31 × 127 × 439)See below for interesting mathematical facts about the number 122228416960 from the Numbermatics database.
Names of 122228416960
- Cardinal: 122228416960 can be written as One hundred twenty-two billion, two hundred twenty-eight million, four hundred sixteen thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.2222841696 × 1011
Factors of 122228416960
Divisors of 122228416960
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 26 31 32 34 40 52 62 64 65 68 80 85 104 124 127 130 136 155 160 170 208 221 248 254 260 272 310 320 340 403 416 439 442 496 508 520 527 544 620 635 680 806 832 878 884 992 1016 1040 1054 1088 1105 1240 1270 1360 1612 1651 1756 1768 1984 2015 2032 2080 2108 2159 2195 2210 2480 2540 2635 2720 3224 3302 3512 3536 3937 4030 4064 4160 4216 4318 4390 4420 4960 5080 5270 5440 5707 6448 6604 6851 7024 7072 7463 7874 8060 8128 8255 8432 8636 8780 8840 9920 10160 10540 10795 11414 12896 13208 13609 13702 14048 14144 14926 15748 16120 16510 16864 17272 17560 17680 19685 20320 21080 21590 22828 25792 26416 27218 27404 28067 28096 28535 29852 31496 32240 33020 33728 34255 34544 35120 35360 37315 39370 40640 42160 43180 45656 51181 52832 54436 54808 55753 56134 57070 59704 62992 64480 66040 66929 68045 68510 69088 70240 70720 74630 78740 84320 86360 91312 97019 102362 105664 108872 109616 111506 112268 114140 119408 125984 128960 132080 133858 136090 137020 138176 140335 140480 149260 157480 168640 172720 176917 182624 194038 204724 217744 219232 223012 224536 228280 231353 238816 251968 255905 264160 267716 272180 274040 278765 280670 298520 314960 334645 345440 353834 365248 388076 409448 435488 438464 446024 449072 456560 462706 477632 485095 511810 528320 535432 544360 548080 557530 561340 597040 629920 669290 690880 707668 724789 776152 818896 870077 870976 884585 892048 898144 913120 925412 947801 970190 1023620 1070864 1088720 1096160 1115060 1122680 1156765 1194080 1259840 1338580 1415336 1449578 1552304 1637792 1728343 1740154 1769170 1784096 1796288 1826240 1850824 1895602 1940380 2047240 2141728 2177440 2192320 2230120 2245360 2313530 2388160 2677160 2830672 2899156 3007589 3104608 3275584 3456686 3480308 3538340 3568192 3623945 3701648 3791204 3880760 4094480 4283456 4350385 4354880 4460240 4490720 4627060 4739005 5354320 5661344 5798312 6015178 6209216 6913372 6960616 7076680 7247890 7403296 7582408 7761520 8188960 8641715 8700770 8920480 8981440 9254120 9478010 10708640 11322688 11596624 12030356 12321413 13826744 13921232 14153360 14495780 14806592 15037945 15164816 15523040 16377920 17283430 17401540 17840960 18508240 18956020 21417280 22468459 23193248 24060712 24642826 27653488 27842464 28306720 28991560 29381831 30075890 30329632 31046080 34566860 34803080 37016480 37912040 44936918 46386496 48121424 49285652 55306976 55684928 56613440 57983120 58763662 60151780 60659264 61607065 69133720 69606160 74032960 75824080 89873836 96242848 98571304 110613952 112342295 115966240 117527324 120303560 123214130 138267440 139212320 146909155 151648160 179747672 192485696 197142608 224684590 231932480 235054648 240607120 246428260 276534880 278424640 293818310 303296320 359495344 381963803 394285216 449369180 470109296 481214240 492856520 553069760 587636620 718990688 763927606 788570432 898738360 940218592 962428480 985713040 1175273240 1437981376 1527855212 1797476720 1880437184 1909819015 1971426080 2350546480 3055710424 3594953440 3819638030 3942852160 4701092960 6111420848 7189906880 7639276060 9402185920 12222841696 15278552120 24445683392 30557104240 61114208480 122228416960
- Sum of all divisors σ(n): 346073333760
- Sum of proper divisors (its aliquot sum) s(n): 223844916800
- 122228416960 is an abundant number, because the sum of its proper divisors (223844916800) is greater than itself. Its abundance is 101616499840
Bases of 122228416960
- Binary: 11100011101010110000110100001110000002
- Hexadecimal: 0x1C7561A1C0
- Base-36: 1K5FN64G
Squares and roots of 122228416960
- 122228416960 squared (1222284169602) is 14939785912547615641600
- 122228416960 cubed (1222284169603) is 1826066381812004060495302721536000
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The
square root of 122228416960 is 349611.8089538739 -
The
cube root of 122228416960 is 4962.7690183691
Scales and comparisons
How big is 122228416960?- 122,228,416,960 seconds is equal to 3,886 years, 25 weeks, 1 day, 18 hours, 2 minutes, 40 seconds.
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To count from 1 to 122,228,416,960 would take you about seven thousand, seven hundred seventy-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 122228416960 cubic inches would be around 413.6 feet tall.
Recreational maths with 122228416960
- 122228416960 backwards is 069614822221
- The number of decimal digits it has is: 12
- The sum of 122228416960's digits is 43
- More coming soon!
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