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244131440 = 2457435949
BaseRepresentation
bin11101000110100…
…10011001110000
3122000101011101012
432203102121300
5444444201230
640120330052
76023040320
oct1643223160
9560334335
10244131440
11115895623
1269913928
133b769497
14245cd280
1516675395
hexe8d2670

244131440 has 40 divisors (see below), whose sum is σ = 648693600. Its totient is φ = 83702016.

The previous prime is 244131427. The next prime is 244131449. The reversal of 244131440 is 44131442.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244131449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217415 + ... + 218534.

It is an arithmetic number, because the mean of its divisors is an integer number (16217340).

Almost surely, 2244131440 is an apocalyptic number.

244131440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244131440 is an abundant number, since it is smaller than the sum of its proper divisors (404562160).

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

244131440 is a wasteful number, since it uses less digits than its factorization.

244131440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435969 (or 435963 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 244131440 is about 15624.7060772355. The cubic root of 244131440 is about 624.9921620350.

Adding to 244131440 its reverse (44131442), we get a palindrome (288262882).

The spelling of 244131440 in words is "two hundred forty-four million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 435949 871898 1743796 2179745 3051643 3487592 4359490 6103286 6975184 8718980 12206572 15258215 17437960 24413144 30516430 34875920 48826288 61032860 122065720 244131440