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144002412330 = 235737432931471
BaseRepresentation
bin1000011000011100110…
…1100110111100101010
3111202200202221111021220
42012013031212330222
54324404104143310
6150053115242510
713255341210630
oct2060715467452
9452622844256
10144002412330
1156086675827
1223aaa149436
131076bb4970a
146d8100d350
153b2c2c1670
hex2187366f2a

144002412330 has 256 divisors, whose sum is σ = 416786743296. Its totient is φ = 31152522240.

The previous prime is 144002412299. The next prime is 144002412331. The reversal of 144002412330 is 33214200441.

144002412330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 144002412330.

It is not an unprimeable number, because it can be changed into a prime (144002412331) by changing a digit.

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, 97893495 + ... + 97894965.

It is an arithmetic number, because the mean of its divisors is an integer number (1628073216).

Almost surely, 2144002412330 is an apocalyptic number.

144002412330 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 144002412330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208393371648).

144002412330 is an abundant number, since it is smaller than the sum of its proper divisors (272784330966).

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

144002412330 is a wasteful number, since it uses less digits than its factorization.

144002412330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 144002412330 its reverse (33214200441), we get a palindrome (177216612771).

The spelling of 144002412330 in words is "one hundred forty-four billion, two million, four hundred twelve thousand, three hundred thirty".