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44210142132 = 223131733894919
BaseRepresentation
bin101001001011001000…
…010011101110110100
311020010002011220202120
4221023020103232310
51211020244022012
632150532435540
73123366002442
oct511310235664
9136102156676
1044210142132
1117827522152
128699a78bb0
13422739c720
1421d57c3b92
15123b41b58c
hexa4b213bb4

44210142132 has 96 divisors (see below), whose sum is σ = 117685612800. Its totient is φ = 12796557312.

The previous prime is 44210142121. The next prime is 44210142133. The reversal of 44210142132 is 23124101244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44210142133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8985169 + ... + 8990087.

It is an arithmetic number, because the mean of its divisors is an integer number (1225891800).

Almost surely, 244210142132 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 44210142132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58842806400).

44210142132 is an abundant number, since it is smaller than the sum of its proper divisors (73475470668).

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

44210142132 is a wasteful number, since it uses less digits than its factorization.

44210142132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8345 (or 8343 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 44210142132 its reverse (23124101244), we get a palindrome (67334243376).

The spelling of 44210142132 in words is "forty-four billion, two hundred ten million, one hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 663 884 1326 2652 3389 4919 6778 9838 10167 13556 14757 19676 20334 29514 40668 44057 57613 59028 63947 83623 88114 115226 127894 132171 167246 172839 176228 191841 230452 250869 255788 264342 334492 345678 383682 501738 528684 691356 748969 767364 1003476 1087099 1497938 2174198 2246907 2995876 3261297 4348396 4493814 6522594 8987628 13045188 16670491 33340982 50011473 66681964 100022946 200045892 216716383 283398347 433432766 566796694 650149149 850195041 866865532 1133593388 1300298298 1700390082 2600596596 3400780164 3684178511 7368357022 11052535533 14736714044 22105071066 44210142132