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144424001430 = 23352337837573
BaseRepresentation
bin1000011010000001010…
…1110101111110010110
3111210210011020102211000
42012200111311332112
54331240021021210
6150203015324130
713301650520442
oct2064025657626
9453704212730
10144424001430
1156282646975
1223ba7380646
13108082a9817
146dc0dd3822
153b542ebac0
hex21a0575f96

144424001430 has 256 divisors, whose sum is σ = 417764874240. Its totient is φ = 35406429696.

The previous prime is 144424001419. The next prime is 144424001593. The reversal of 144424001430 is 34100424441.

144424001430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 144424001394 and 144424001403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19067124 + ... + 19074696.

It is an arithmetic number, because the mean of its divisors is an integer number (1631894040).

Almost surely, 2144424001430 is an apocalyptic number.

144424001430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144424001430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208882437120).

144424001430 is an abundant number, since it is smaller than the sum of its proper divisors (273340872810).

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

144424001430 is a wasteful number, since it uses less digits than its factorization.

144424001430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7732 (or 7726 counting only the distinct ones).

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

Adding to 144424001430 its reverse (34100424441), we get a palindrome (178524425871).

The spelling of 144424001430 in words is "one hundred forty-four billion, four hundred twenty-four million, one thousand, four hundred thirty".