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44321412224 = 272277432053
BaseRepresentation
bin101001010001110000…
…110001010010000000
311020101211120000122002
4221101300301102000
51211232240142344
632205545403132
73126216534155
oct512160612200
9136354500562
1044321412224
1117884311001
12870b1994a8
13424445ac0b
1422064aa22c
15124609a44e
hexa51c31480

44321412224 has 64 divisors (see below), whose sum is σ = 88848152640. Its totient is φ = 22022654976.

The previous prime is 44321412217. The next prime is 44321412241. The reversal of 44321412224 is 42221412344.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21587582 + ... + 21589634.

It is an arithmetic number, because the mean of its divisors is an integer number (1388252385).

Almost surely, 244321412224 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 44321412224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44424076320).

44321412224 is an abundant number, since it is smaller than the sum of its proper divisors (44526740416).

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

44321412224 is a wasteful number, since it uses less digits than its factorization.

44321412224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3037 (or 3025 counting only the distinct ones).

The product of its digits is 12288, while the sum is 29.

Adding to 44321412224 its reverse (42221412344), we get a palindrome (86542824568).

The spelling of 44321412224 in words is "forty-four billion, three hundred twenty-one million, four hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 227 454 743 908 1486 1816 2053 2972 3632 4106 5944 7264 8212 11888 14528 16424 23776 29056 32848 47552 65696 95104 131392 168661 262784 337322 466031 674644 932062 1349288 1525379 1864124 2698576 3050758 3728248 5397152 6101516 7456496 10794304 12203032 14912992 21588608 24406064 29825984 48812128 59651968 97624256 195248512 346261033 692522066 1385044132 2770088264 5540176528 11080353056 22160706112 44321412224