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4144467145 = 5713171373911
BaseRepresentation
bin1111011100000111…
…1000110011001001
3101200211112202010011
43313001320303021
531441440422040
61523130151521
7204463250410
oct36701706311
911624482104
104144467145
111837497565
12977b825a1
13510834130
142b45dc477
15193cb03ea
hexf7078cc9

4144467145 has 64 divisors (see below), whose sum is σ = 6530098176. Its totient is φ = 2450350080.

The previous prime is 4144467121. The next prime is 4144467149. The reversal of 4144467145 is 5417644414.

It is a happy number.

It is not a de Polignac number, because 4144467145 - 25 = 4144467113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4144467098 and 4144467107.

It is not an unprimeable number, because it can be changed into a prime (4144467149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1057740 + ... + 1061650.

It is an arithmetic number, because the mean of its divisors is an integer number (102032784).

Almost surely, 24144467145 is an apocalyptic number.

It is an amenable number.

4144467145 is a deficient number, since it is larger than the sum of its proper divisors (2385631031).

4144467145 is a wasteful number, since it uses less digits than its factorization.

4144467145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4090.

The product of its digits is 215040, while the sum is 40.

The square root of 4144467145 is about 64377.5360277170. The cubic root of 4144467145 is about 1606.2860969445.

The spelling of 4144467145 in words is "four billion, one hundred forty-four million, four hundred sixty-seven thousand, one hundred forty-five".

Divisors: 1 5 7 13 17 35 65 85 91 119 137 221 455 595 685 959 1105 1547 1781 2329 3911 4795 7735 8905 11645 12467 16303 19555 27377 30277 50843 62335 66487 81515 136885 151385 211939 254215 332435 355901 465409 535807 864331 1059695 1779505 2327045 2679035 3750649 4321655 6050317 6965491 9108719 18753245 30251585 34827455 45543595 48758437 63761033 118413347 243792185 318805165 592066735 828893429 4144467145