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44034133032 = 233549146133
BaseRepresentation
bin101001000000101000…
…111000110000101000
311012122210222201200000
4221000220320300220
51210140214224112
632121244143000
73116130645411
oct510050706050
9135583881600
1044034133032
111774713598a
12864ab37a60
1341c9a95226
1421ba288808
15122ac507dc
hexa40a38c28

44034133032 has 96 divisors (see below), whose sum is σ = 123930686880. Its totient is φ = 14647832640.

The previous prime is 44034133027. The next prime is 44034133061. The reversal of 44034133032 is 23033143044.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 44034132987 and 44034133005.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 931438 + ... + 977570.

It is an arithmetic number, because the mean of its divisors is an integer number (1290944655).

Almost surely, 244034133032 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 44034133032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61965343440).

44034133032 is an abundant number, since it is smaller than the sum of its proper divisors (79896553848).

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

44034133032 is a wasteful number, since it uses less digits than its factorization.

44034133032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46645 (or 46629 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 44034133032 its reverse (23033143044), we get a palindrome (67067276076).

The spelling of 44034133032 in words is "forty-four billion, thirty-four million, one hundred thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 491 648 972 982 1473 1944 1964 2946 3928 4419 5892 8838 11784 13257 17676 26514 35352 39771 46133 53028 79542 92266 106056 119313 138399 159084 184532 238626 276798 318168 369064 415197 477252 553596 830394 954504 1107192 1245591 1660788 2491182 3321576 3736773 4982364 7473546 9964728 11210319 14947092 22420638 22651303 29894184 44841276 45302606 67953909 89682552 90605212 135907818 181210424 203861727 271815636 407723454 543631272 611585181 815446908 1223170362 1630893816 1834755543 2446340724 3669511086 4892681448 5504266629 7339022172 11008533258 14678044344 22017066516 44034133032