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144242213311133 = 7472812161721997
BaseRepresentation
bin100000110011000000000001…
…111000101101001010011101
3200220201102100212000022121122
4200303000001320231022131
5122401231023101424013
61230435542532540325
742245104340336150
oct4063000170551235
9626642325008548
10144242213311133
1141a61863033503
12142171354816a5
136263ca02bcbc2
142789508c1dc97
1511a210e89da08
hex833001e2d29d

144242213311133 has 32 divisors (see below), whose sum is σ = 169033201394688. Its totient is φ = 120519037900800.

The previous prime is 144242213311121. The next prime is 144242213311169. The reversal of 144242213311133 is 331113312242441.

It is not a de Polignac number, because 144242213311133 - 226 = 144242146202269 is a prime.

It is a super-2 number, since 2×1442422133111332 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144242213311093 and 144242213311102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144242213311033) 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 31 ways as a sum of consecutive naturals, for example, 199421291 + ... + 200143287.

It is an arithmetic number, because the mean of its divisors is an integer number (5282287543584).

Almost surely, 2144242213311133 is an apocalyptic number.

It is an amenable number.

144242213311133 is a deficient number, since it is larger than the sum of its proper divisors (24790988083555).

144242213311133 is a wasteful number, since it uses less digits than its factorization.

144242213311133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724493.

The product of its digits is 41472, while the sum is 35.

Adding to 144242213311133 its reverse (331113312242441), we get a palindrome (475355525553574).

The spelling of 144242213311133 in words is "one hundred forty-four trillion, two hundred forty-two billion, two hundred thirteen million, three hundred eleven thousand, one hundred thirty-three".

Divisors: 1 7 47 281 329 1967 2161 13207 15127 92449 101567 607241 710969 721997 4250687 5053979 28540327 33933859 199782289 202881157 237537013 1420168099 1560235517 9535414379 10921648619 66747900653 73331069299 438426180277 513317485093 3068983261939 20606030473019 144242213311133