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144565122240 = 2632571117311237
BaseRepresentation
bin1000011010100011000…
…0001011010011000000
3111211010222210010011200
42012220300023103000
54332032132402430
6150225020141200
713305313156410
oct2065060132300
9454128703150
10144565122240
1156345274040
1224026697800
131082b5ba066
146dd5a4a640
153b618c5460
hex21a8c0b4c0

144565122240 has 1344 divisors, whose sum is σ = 678129573888. Its totient is φ = 27338342400.

The previous prime is 144565122167. The next prime is 144565122253. The reversal of 144565122240 is 42221565441.

144565122240 is a `hidden beast` number, since 1 + 44 + 565 + 12 + 2 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×1445651222402 (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 a junction number, because it is equal to n+sod(n) for n = 144565122195 and 144565122204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 116866902 + ... + 116868138.

Almost surely, 2144565122240 is an apocalyptic number.

144565122240 is a gapful number since it is divisible by the number (10) 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 144565122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339064786944).

144565122240 is an abundant number, since it is smaller than the sum of its proper divisors (533564451648).

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

144565122240 is a wasteful number, since it uses less digits than its factorization.

144565122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 144565122240 its reverse (42221565441), we get a palindrome (186786687681).

The spelling of 144565122240 in words is "one hundred forty-four billion, five hundred sixty-five million, one hundred twenty-two thousand, two hundred forty".