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14224212101120 = 21157228348637
BaseRepresentation
bin1100111011111101010100…
…0111000000100000000000
31212100211011210112210222212
43032333111013000200000
53331022141244213440
650130302434321252
72665444143642500
oct316772507004000
955324153483885
1014224212101120
1145944aa9a780a
1217188b7a29228
137c24504a2778
14372653ddba00
1519a00ecad465
hexcefd51c0800

14224212101120 has 144 divisors (see below), whose sum is σ = 39701984032620. Its totient is φ = 4876872548352.

The previous prime is 14224212101093. The next prime is 14224212101129. The reversal of 14224212101120 is 2110121242241.

It can be written as a sum of positive squares in 2 ways, for example, as 12209265918976 + 2014946182144 = 3494176^2 + 1419488^2 .

It is not an unprimeable number, because it can be changed into a prime (14224212101129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13672559 + ... + 14676078.

Almost surely, 214224212101120 is an apocalyptic number.

14224212101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14224212101120 is an abundant number, since it is smaller than the sum of its proper divisors (25477771931500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14224212101120 is an equidigital number, since it uses as much as digits as its factorization.

14224212101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28348678 (or 28348651 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 14224212101120 its reverse (2110121242241), we get a palindrome (16334333343361).

The spelling of 14224212101120 in words is "fourteen trillion, two hundred twenty-four billion, two hundred twelve million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 392 448 490 512 560 640 784 896 980 1024 1120 1280 1568 1792 1960 2048 2240 2560 3136 3584 3920 4480 5120 6272 7168 7840 8960 10240 12544 14336 15680 17920 25088 31360 35840 50176 62720 71680 100352 125440 250880 501760 28348637 56697274 113394548 141743185 198440459 226789096 283486370 396880918 453578192 566972740 793761836 907156384 992202295 1133945480 1389083213 1587523672 1814312768 1984404590 2267890960 2778166426 3175047344 3628625536 3968809180 4535781920 5556332852 6350094688 6945416065 7257251072 7937618360 9071563840 11112665704 12700189376 13890832130 14514502144 15875236720 18143127680 22225331408 25400378752 27781664260 29029004288 31750473440 36286255360 44450662816 50800757504 55563328520 58058008576 63500946880 72572510720 88901325632 101601515008 111126657040 127001893760 145145021440 177802651264 203203030016 222253314080 254003787520 290290042880 355605302528 406406060032 444506628160 508007575040 711210605056 889013256320 1016015150080 1422421210112 1778026512640 2032030300160 2844842420224 3556053025280 7112106050560 14224212101120