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144044120023020 = 22345753443541007
BaseRepresentation
bin100000110000000111100010…
…100110110001111111101100
3200220000111001101112122010000
4200300013202212301333230
5122340004324211214040
61230204542154144300
742224562401225010
oct4060074246617754
9626014041478100
10144044120023020
114199584a592158
12141a4870422090
13624b3c1014619
14277dab6072540
15119bdb8a11130
hex8301e29b1fec

144044120023020 has 480 divisors, whose sum is σ = 527357424642048. Its totient is φ = 32230177095168.

The previous prime is 144044120022997. The next prime is 144044120023051. The reversal of 144044120023020 is 20320021440441.

144044120023020 is a `hidden beast` number, since 1 + 4 + 404 + 4 + 1 + 2 + 0 + 0 + 230 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 265981357 + ... + 266522363.

Almost surely, 2144044120023020 is an apocalyptic number.

144044120023020 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 144044120023020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263678712321024).

144044120023020 is an abundant number, since it is smaller than the sum of its proper divisors (383313304619028).

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

144044120023020 is a wasteful number, since it uses less digits than its factorization.

144044120023020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541531 (or 541520 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 144044120023020 its reverse (20320021440441), we get a palindrome (164364141463461).

The spelling of 144044120023020 in words is "one hundred forty-four trillion, forty-four billion, one hundred twenty million, twenty-three thousand, twenty".