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144241020 = 223357113469
BaseRepresentation
bin10001001100011…
…11000101111100
3101001102012111000
420212033011330
5243411203040
622151330300
73401012520
oct1046170574
9331365430
10144241020
1174469460
1240380990
1323b63821
1415229d80
15c9e3130
hex898f17c

144241020 has 192 divisors, whose sum is σ = 559641600. Its totient is φ = 29963520.

The previous prime is 144241007. The next prime is 144241033. The reversal of 144241020 is 20142441.

144241020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (144241007) and next prime (144241033).

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 = 144240984 and 144241002.

It is a congruent number.

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, 39846 + ... + 43314.

It is an arithmetic number, because the mean of its divisors is an integer number (2914800).

Almost surely, 2144241020 is an apocalyptic number.

144241020 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 144241020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279820800).

144241020 is an abundant number, since it is smaller than the sum of its proper divisors (415400580).

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

144241020 is a wasteful number, since it uses less digits than its factorization.

144241020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3505 (or 3497 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 144241020 is about 12010.0383013544. The cubic root of 144241020 is about 524.4405469017.

Adding to 144241020 its reverse (20142441), we get a palindrome (164383461).

The spelling of 144241020 in words is "one hundred forty-four million, two hundred forty-one thousand, twenty".