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144523413225 = 325213717412693
BaseRepresentation
bin1000011010011001000…
…1000100011011101001
3111211001002022002011100
42012212101010123221
54331440443210400
6150220530152013
713304265512652
oct2064621043351
9454032262140
10144523413225
1156323776484
1224014722609
1310822a75679
146dd02b0529
153b5cdd7100
hex21a64446e9

144523413225 has 72 divisors (see below), whose sum is σ = 260993610072. Its totient is φ = 76444185600.

The previous prime is 144523413169. The next prime is 144523413283. The reversal of 144523413225 is 522314325441.

It is a happy number.

144523413225 is a `hidden beast` number, since 1 + 44 + 52 + 341 + 3 + 225 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 90295442064 + 54227971161 = 300492^2 + 232869^2 .

It is not a de Polignac number, because 144523413225 - 211 = 144523411177 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 144523413225.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 53664979 + ... + 53667671.

It is an arithmetic number, because the mean of its divisors is an integer number (3624911251).

Almost surely, 2144523413225 is an apocalyptic number.

144523413225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144523413225 is a deficient number, since it is larger than the sum of its proper divisors (116470196847).

144523413225 is a wasteful number, since it uses less digits than its factorization.

144523413225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4587 (or 4579 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

Adding to 144523413225 its reverse (522314325441), we get a palindrome (666837738666).

The spelling of 144523413225 in words is "one hundred forty-four billion, five hundred twenty-three million, four hundred thirteen thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 137 225 411 685 1233 1741 2055 2693 3425 5223 6165 8079 8705 10275 13465 15669 24237 26115 30825 40395 43525 67325 78345 121185 130575 201975 238517 368941 391725 605925 715551 1106823 1192585 1844705 2146653 3320469 3577755 4688513 5534115 5962925 9223525 10733265 14065539 16602345 17888775 23442565 27670575 42196617 53666325 70327695 83011725 117212825 210983085 351638475 642326281 1054915425 1926978843 3211631405 5780936529 9634894215 16058157025 28904682645 48174471075 144523413225