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44419350032 = 2419534336367
BaseRepresentation
bin101001010111100110…
…010111111000010000
311020122122211210001022
4221113212113320100
51211432323200112
632223404455012
73131516150141
oct512746277020
9136578753038
1044419350032
1117924624142
128737b4a468
13425b82bb95
1422154c1ac8
15124e993d72
hexa57997e10

44419350032 has 80 divisors (see below), whose sum is σ = 92529077760. Its totient is φ = 20592838656.

The previous prime is 44419350011. The next prime is 44419350049. The reversal of 44419350032 is 23005391444.

44419350032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 44419349974 and 44419350001.

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, 6973313 + ... + 6979679.

It is an arithmetic number, because the mean of its divisors is an integer number (1156613472).

Almost surely, 244419350032 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 44419350032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46264538880).

44419350032 is an abundant number, since it is smaller than the sum of its proper divisors (48109727728).

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

44419350032 is a wasteful number, since it uses less digits than its factorization.

44419350032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6880 (or 6874 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The spelling of 44419350032 in words is "forty-four billion, four hundred nineteen million, three hundred fifty thousand, thirty-two".

Divisors: 1 2 4 8 16 19 38 53 76 106 152 212 304 424 433 848 866 1007 1732 2014 3464 4028 6367 6928 8056 8227 12734 16112 16454 22949 25468 32908 45898 50936 65816 91796 101872 120973 131632 183592 241946 337451 367184 436031 483892 674902 872062 967784 1349804 1744124 1935568 2699608 2756911 3488248 5399216 5513822 6411569 6976496 11027644 12823138 22055288 25646276 44110576 51292552 52381309 102585104 104762618 146116283 209525236 292232566 419050472 584465132 838100944 1168930264 2337860528 2776209377 5552418754 11104837508 22209675016 44419350032