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144430020 = 223357192011
BaseRepresentation
bin10001001101111…
…01001111000100
3101001202210202000
420212331033010
5243433230040
622155345300
73402430530
oct1046751704
9331683660
10144430020
1174588459
1240452230
1323bcb867
1415278bc0
15ca2e130
hex89bd3c4

144430020 has 192 divisors, whose sum is σ = 540825600. Its totient is φ = 31259520.

The previous prime is 144430019. The next prime is 144430031. The reversal of 144430020 is 20034441.

144430020 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 144429975 and 144430002.

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, 70815 + ... + 72825.

It is an arithmetic number, because the mean of its divisors is an integer number (2816800).

Almost surely, 2144430020 is an apocalyptic number.

144430020 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 144430020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270412800).

144430020 is an abundant number, since it is smaller than the sum of its proper divisors (396395580).

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

144430020 is a wasteful number, since it uses less digits than its factorization.

144430020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2055 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 144430020 is about 12017.9041434020. The cubic root of 144430020 is about 524.6695062797.

Adding to 144430020 its reverse (20034441), we get a palindrome (164464461).

The spelling of 144430020 in words is "one hundred forty-four million, four hundred thirty thousand, twenty".