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144998128 = 24111395927
BaseRepresentation
bin10001010010001…
…11111011110000
3101002211200001001
420221013323300
5244104420003
622215451344
73410315032
oct1051077360
9332750031
10144998128
1174936270
1240686b54
132406a312
1415385c52
15cae261d
hex8a47ef0

144998128 has 40 divisors (see below), whose sum is σ = 308730240. Its totient is φ = 65423040.

The previous prime is 144998111. The next prime is 144998131. The reversal of 144998128 is 821899441.

144998128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21501 + ... + 27427.

It is an arithmetic number, because the mean of its divisors is an integer number (7718256).

Almost surely, 2144998128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144998128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154365120).

144998128 is an abundant number, since it is smaller than the sum of its proper divisors (163732112).

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

144998128 is a wasteful number, since it uses less digits than its factorization.

144998128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6085 (or 6079 counting only the distinct ones).

The product of its digits is 165888, while the sum is 46.

The square root of 144998128 is about 12041.5168479723. The cubic root of 144998128 is about 525.3565263852.

The spelling of 144998128 in words is "one hundred forty-four million, nine hundred ninety-eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 139 176 278 556 1112 1529 2224 3058 5927 6116 11854 12232 23708 24464 47416 65197 94832 130394 260788 521576 823853 1043152 1647706 3295412 6590824 9062383 13181648 18124766 36249532 72499064 144998128