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145442544225 = 352113112594517
BaseRepresentation
bin1000011101110100001…
…1010001101001100001
3111220102010210202212020
42013131003101221201
54340331242403400
6150452042252053
713336126141116
oct2073503215141
9456363722766
10145442544225
1156755585180
12242304b7029
131093b309a74
14707a3aa90d
153bb39422a0
hex21dd0d1a61

145442544225 has 96 divisors (see below), whose sum is σ = 271062650880. Its totient is φ = 68173536000.

The previous prime is 145442544223. The next prime is 145442544227. The reversal of 145442544225 is 522445244541.

It is an interprime number because it is at equal distance from previous prime (145442544223) and next prime (145442544227).

It is not a de Polignac number, because 145442544225 - 21 = 145442544223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (145442544223) 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 95 ways as a sum of consecutive naturals, for example, 32196667 + ... + 32201183.

It is an arithmetic number, because the mean of its divisors is an integer number (2823569280).

Almost surely, 2145442544225 is an apocalyptic number.

145442544225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145442544225 is a deficient number, since it is larger than the sum of its proper divisors (125620106655).

145442544225 is a wasteful number, since it uses less digits than its factorization.

145442544225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5831 (or 5826 counting only the distinct ones).

The product of its digits is 1024000, while the sum is 42.

Adding to 145442544225 its reverse (522445244541), we get a palindrome (667887788766).

The spelling of 145442544225 in words is "one hundred forty-five billion, four hundred forty-two million, five hundred forty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 11 15 25 31 33 55 75 93 155 165 275 341 465 775 825 1023 1259 1705 2325 3777 4517 5115 6295 8525 13551 13849 18885 22585 25575 31475 39029 41547 49687 67755 69245 94425 112925 117087 140027 149061 195145 207735 248435 338775 346225 420081 429319 585435 700135 745305 975725 1038675 1242175 1287957 1540297 2100405 2146595 2927175 3500675 3726525 4620891 5686903 6439785 7701485 10502025 10732975 17060709 23104455 28434515 32198925 38507425 62555933 85303545 115522275 142172575 176293993 187667799 312779665 426517725 528881979 881469965 938338995 1563898325 1939233923 2644409895 4407349825 4691694975 5817701769 9696169615 13222049475 29088508845 48480848075 145442544225