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14400222102225 = 32521031135498839
BaseRepresentation
bin1101000110001101000000…
…0111111000001011010001
31212222122111020102021201200
43101203100013320023101
53341413123324232400
650343212023421413
73014244633161661
oct321432007701321
955878436367650
1014400222102225
114652110a66743
121746a392b4869
13805c205b780b
1437ad8dd281a1
1519e8b2069b00
hexd18d01f82d1

14400222102225 has 72 divisors (see below), whose sum is σ = 26273281557120. Its totient is φ = 7538247037440.

The previous prime is 14400222102221. The next prime is 14400222102247. The reversal of 14400222102225 is 52220122200441.

14400222102225 is a `hidden beast` number, since 1 + 4 + 400 + 2 + 2 + 210 + 22 + 25 = 666.

It is not a de Polignac number, because 14400222102225 - 22 = 14400222102221 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (14400222102221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 130645 + ... + 5368194.

Almost surely, 214400222102225 is an apocalyptic number.

14400222102225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14400222102225 is a deficient number, since it is larger than the sum of its proper divisors (11873059454895).

14400222102225 is a wasteful number, since it uses less digits than its factorization.

14400222102225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5499071 (or 5499063 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 14400222102225 its reverse (52220122200441), we get a palindrome (66620344302666).

The spelling of 14400222102225 in words is "fourteen trillion, four hundred billion, two hundred twenty-two million, one hundred two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 103 113 225 309 339 515 565 927 1017 1545 1695 2575 2825 4635 5085 7725 8475 11639 23175 25425 34917 58195 104751 174585 290975 523755 872925 2618775 5498839 16496517 27494195 49489551 82482585 137470975 247447755 412412925 566380417 621368807 1237238775 1699141251 1864106421 2831902085 3106844035 5097423753 5592319263 8495706255 9320532105 14159510425 15534220175 25487118765 27961596315 42478531275 46602660525 64000987121 127435593825 139807981575 192002961363 320004935605 576008884089 960014806815 1600024678025 2880044420445 4800074034075 14400222102225