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144431448 = 2337978863
BaseRepresentation
bin10001001101111…
…01100101011000
3101001202212200220
420212331211120
5243433301243
622155400040
73402434640
oct1046754530
9331685626
10144431448
1174589537
1240453020
1323bcc3c5
1415279520
15ca2e783
hex89bd958

144431448 has 64 divisors (see below), whose sum is σ = 416962560. Its totient is φ = 40836096.

The previous prime is 144431437. The next prime is 144431477. The reversal of 144431448 is 844134441.

144431448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11865 + ... + 20727.

It is an arithmetic number, because the mean of its divisors is an integer number (6515040).

Almost surely, 2144431448 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 144431448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208481280).

144431448 is an abundant number, since it is smaller than the sum of its proper divisors (272531112).

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

144431448 is a wasteful number, since it uses less digits than its factorization.

144431448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8976 (or 8972 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

The square root of 144431448 is about 12017.9635546127. The cubic root of 144431448 is about 524.6712354345.

Adding to 144431448 its reverse (844134441), we get a palindrome (988565889).

The spelling of 144431448 in words is "one hundred forty-four million, four hundred thirty-one thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 97 168 194 291 388 582 679 776 1164 1358 2037 2328 2716 4074 5432 8148 8863 16296 17726 26589 35452 53178 62041 70904 106356 124082 186123 212712 248164 372246 496328 744492 859711 1488984 1719422 2579133 3438844 5158266 6017977 6877688 10316532 12035954 18053931 20633064 24071908 36107862 48143816 72215724 144431448