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144805923925 = 52131733297873
BaseRepresentation
bin1000011011011100011…
…0110000110001010101
3111211202202220002222121
42012313012300301111
54333030304031200
6150304541255541
713314266021215
oct2066706606125
9454682802877
10144805923925
11564591949a3
12240932645b1
131086945ba70
147019a10245
153b77adde1a
hex21b71b0c55

144805923925 has 48 divisors (see below), whose sum is σ = 204833921040. Its totient is φ = 100600381440.

The previous prime is 144805923881. The next prime is 144805923931. The reversal of 144805923925 is 529329508441.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 136919240676 + 7886683249 = 370026^2 + 88807^2 .

It is not a de Polignac number, because 144805923925 - 213 = 144805915733 is a prime.

It is a congruent number.

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, 18388789 + ... + 18396661.

It is an arithmetic number, because the mean of its divisors is an integer number (4267373355).

Almost surely, 2144805923925 is an apocalyptic number.

It is an amenable number.

144805923925 is a deficient number, since it is larger than the sum of its proper divisors (60027997115).

144805923925 is a wasteful number, since it uses less digits than its factorization.

144805923925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11242 (or 11237 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 52.

The spelling of 144805923925 in words is "one hundred forty-four billion, eight hundred five million, nine hundred twenty-three thousand, nine hundred twenty-five".

Divisors: 1 5 13 17 25 65 85 221 325 425 1105 3329 5525 7873 16645 39365 43277 56593 83225 102349 133841 196825 216385 282965 511745 669205 735709 1081925 1414825 1739933 2558725 3346025 3678545 8699665 18392725 26209217 43498325 131046085 340719821 445556689 655230425 1703599105 2227783445 5792236957 8517995525 11138917225 28961184785 144805923925