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44251242444 = 22326143274657
BaseRepresentation
bin101001001101100101…
…000101111111001100
311020012221112000210100
4221031211011333030
51211111304224234
632155001411100
73124405232433
oct511545057714
9136187460710
1044251242444
1117848744452
1286ab799a90
134232a60036
1421db04211a
15123ed39399
hexa4d945fcc

44251242444 has 72 divisors (see below), whose sum is σ = 113741727008. Its totient is φ = 14502136320.

The previous prime is 44251242443. The next prime is 44251242461. The reversal of 44251242444 is 44424215244.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 44251242399 and 44251242408.

It is not an unprimeable number, because it can be changed into a prime (44251242443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9499764 + ... + 9504420.

Almost surely, 244251242444 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 44251242444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56870863504).

44251242444 is an abundant number, since it is smaller than the sum of its proper divisors (69490484564).

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

44251242444 is a wasteful number, since it uses less digits than its factorization.

44251242444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9055 (or 9050 counting only the distinct ones).

The product of its digits is 163840, while the sum is 36.

Adding to 44251242444 its reverse (44424215244), we get a palindrome (88675457688).

The spelling of 44251242444 in words is "forty-four billion, two hundred fifty-one million, two hundred forty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 4327 4657 8654 9314 12981 13971 17308 18628 25962 27942 38943 41913 51924 55884 77886 83826 155772 167652 263947 284077 527894 568154 791841 852231 1055788 1136308 1583682 1704462 2375523 2556693 3167364 3408924 4751046 5113386 9502092 10226772 20150839 40301678 60452517 80603356 120905034 181357551 241810068 362715102 725430204 1229201179 2458402358 3687603537 4916804716 7375207074 11062810611 14750414148 22125621222 44251242444