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4335144350225 = 5213149193463849
BaseRepresentation
bin111111000101011010101…
…111010011001000010001
3120100102202122220200220012
4333011122233103020101
51032011333423201400
613115312100324305
7625126626661103
oct77053257231021
916312678820805
104335144350225
111421584a72407
125a021b0a3695
13255a57a1c440
1410db71c05573
1577b78c0ed35
hex3f15abd3211

4335144350225 has 48 divisors (see below), whose sum is σ = 5858147190000. Its totient is φ = 3163369144320.

The previous prime is 4335144350219. The next prime is 4335144350233. The reversal of 4335144350225 is 5220534415334.

It can be written as a sum of positive squares in 24 ways, for example, as 4317269462416 + 17874887809 = 2077804^2 + 133697^2 .

It is not a de Polignac number, because 4335144350225 - 230 = 4334070608401 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9114101 + ... + 9577949.

It is an arithmetic number, because the mean of its divisors is an integer number (122044733125).

Almost surely, 24335144350225 is an apocalyptic number.

It is an amenable number.

4335144350225 is a deficient number, since it is larger than the sum of its proper divisors (1523002839775).

4335144350225 is a wasteful number, since it uses less digits than its factorization.

4335144350225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464214 (or 464209 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 41.

Adding to 4335144350225 its reverse (5220534415334), we get a palindrome (9555678765559).

The spelling of 4335144350225 in words is "four trillion, three hundred thirty-five billion, one hundred forty-four million, three hundred fifty thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 149 193 325 745 965 1937 2509 3725 4825 9685 12545 28757 48425 62725 143785 373841 463849 718925 1869205 2319245 6030037 9346025 11596225 30150185 69113501 89522857 150750925 345567505 447614285 898475513 1163797141 1727837525 2238071425 4492377565 5818985705 13338905693 22461887825 29094928525 66694528465 173405774009 333472642325 867028870045 4335144350225