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144402022320 = 243529371374093
BaseRepresentation
bin1000011001111100000…
…1111111111110110000
3111210201121212210010220
42012133001333332300
54331213404203240
6150200512253040
713301262636423
oct2063701777660
9453647783126
10144402022320
11562711a4716
1223b9bb41180
131080388262a
146dbc1119ba
153b524095d0
hex219f07ffb0

144402022320 has 320 divisors, whose sum is σ = 479186651520. Its totient is φ = 35901702144.

The previous prime is 144402022313. The next prime is 144402022397. The reversal of 144402022320 is 23220204441.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35278194 + ... + 35282286.

It is an arithmetic number, because the mean of its divisors is an integer number (1497458286).

Almost surely, 2144402022320 is an apocalyptic number.

144402022320 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 144402022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239593325760).

144402022320 is an abundant number, since it is smaller than the sum of its proper divisors (334784629200).

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

144402022320 is a wasteful number, since it uses less digits than its factorization.

144402022320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4312 (or 4306 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 144402022320 its reverse (23220204441), we get a palindrome (167622226761).

The spelling of 144402022320 in words is "one hundred forty-four billion, four hundred two million, twenty-two thousand, three hundred twenty".