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44332030336 = 271124760901
BaseRepresentation
bin101001010010011001…
…010001100110000000
311020102120112110221111
4221102121101212000
51211242444432321
632211005133104
73126406016566
oct512231214600
9136376473844
1044332030336
111788a303600
12871285a194
134246707c19
142207a71a36
151246e965e1
hexa52651980

44332030336 has 96 divisors (see below), whose sum is σ = 99143583840. Its totient is φ = 19721856000.

The previous prime is 44332030333. The next prime is 44332030357. The reversal of 44332030336 is 63303023344.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 44332030298 and 44332030307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44332030331) 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 11 ways as a sum of consecutive naturals, for example, 697486 + ... + 758386.

It is an arithmetic number, because the mean of its divisors is an integer number (1032745665).

Almost surely, 244332030336 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 44332030336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49571791920).

44332030336 is an abundant number, since it is smaller than the sum of its proper divisors (54811553504).

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

44332030336 is a wasteful number, since it uses less digits than its factorization.

44332030336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60984 (or 60961 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 31.

The spelling of 44332030336 in words is "forty-four billion, three hundred thirty-two million, thirty thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 121 128 176 188 242 352 376 484 517 704 752 968 1034 1408 1504 1936 2068 3008 3872 4136 5687 6016 7744 8272 11374 15488 16544 22748 33088 45496 60901 66176 90992 121802 181984 243604 363968 487208 669911 727936 974416 1339822 1948832 2679644 2862347 3897664 5359288 5724694 7369021 7795328 10718576 11449388 14738042 21437152 22898776 29476084 31485817 42874304 45797552 58952168 62971634 85748608 91595104 117904336 125943268 183190208 235808672 251886536 346343987 366380416 471617344 503773072 692687974 943234688 1007546144 1385375948 2015092288 2770751896 4030184576 5541503792 11083007584 22166015168 44332030336