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44322212224 = 274759193647
BaseRepresentation
bin101001010001110011…
…110100100110000000
311020101220001200000201
4221101303310212000
51211232441242344
632210014454544
73126226405423
oct512163644600
9136356050021
1044322212224
1117884808064
12870b504454
13424467b0a4
1422066379ba
1512461a74d4
hexa51cf4980

44322212224 has 128 divisors (see below), whose sum is σ = 92322892800. Its totient is φ = 21178712064.

The previous prime is 44322212213. The next prime is 44322212237. The reversal of 44322212224 is 42221222344.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 44322212192 and 44322212201.

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, 68503869 + ... + 68504515.

It is an arithmetic number, because the mean of its divisors is an integer number (721272600).

Almost surely, 244322212224 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 44322212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46161446400).

44322212224 is an abundant number, since it is smaller than the sum of its proper divisors (48000680576).

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

44322212224 is a wasteful number, since it uses less digits than its factorization.

44322212224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 948 counting only the distinct ones).

The product of its digits is 12288, while the sum is 28.

Adding to 44322212224 its reverse (42221222344), we get a palindrome (86543434568).

The spelling of 44322212224 in words is "forty-four billion, three hundred twenty-two million, two hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 47 59 64 94 118 128 188 193 236 376 386 472 647 752 772 944 1294 1504 1544 1888 2588 2773 3008 3088 3776 5176 5546 6016 6176 7552 9071 10352 11092 11387 12352 18142 20704 22184 22774 24704 30409 36284 38173 41408 44368 45548 60818 72568 76346 82816 88736 91096 121636 124871 145136 152692 177472 182192 243272 249742 290272 305384 354944 364384 486544 499484 535189 580544 610768 728768 973088 998968 1070378 1161088 1221536 1457536 1794131 1946176 1997936 2140756 2443072 3588262 3892352 3995872 4281512 4886144 5868937 7176524 7367389 7991744 8563024 11737874 14353048 14734778 15983488 17126048 23475748 28706096 29469556 34252096 46951496 57412192 58939112 68504192 93902992 114824384 117878224 187805984 229648768 235756448 346267283 375611968 471512896 692534566 751223936 943025792 1385069132 2770138264 5540276528 11080553056 22161106112 44322212224