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145424402208 = 25322329772
BaseRepresentation
bin1000011101101111111…
…0000100011100100000
3111220100212200001200200
42013123332010130200
54340312121332313
6150450153345200
713335516011001
oct2073376043440
9456325601620
10145424402208
1156746313878
1224226408200
1310937627247
147077c071a8
153bb205bb73
hex21dbf84720

145424402208 has 162 divisors, whose sum is σ = 432755808849. Its totient is φ = 46319741952.

The previous prime is 145424402141. The next prime is 145424402257. The reversal of 145424402208 is 802204424541.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

145424402208 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 2 + 440 + 2 + 208 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 108417415824 + 37006986384 = 329268^2 + 192372^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=269652.

It is a super-2 number, since 2×1454244022082 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 148847416 + ... + 148848392.

Almost surely, 2145424402208 is an apocalyptic number.

145424402208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145424402208

145424402208 is an abundant number, since it is smaller than the sum of its proper divisors (287331406641).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145424402208 is an frugal number, since it uses more digits than its factorization.

145424402208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2016 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 36.

Adding to 145424402208 its reverse (802204424541), we get a palindrome (947628826749).

The spelling of 145424402208 in words is "one hundred forty-five billion, four hundred twenty-four million, four hundred two thousand, two hundred eight".