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44101134012 = 22313833838893
BaseRepresentation
bin101001000100101000…
…011110011010111100
311012211111001201201210
4221010220132122330
51210304342242022
632132040204420
73120603311505
oct510450363274
9135744051653
1044101134012
1117780a387a1
128669469710
13420a923990
1421c5129bac
151231a87a0c
hexa44a1e6bc

44101134012 has 96 divisors (see below), whose sum is σ = 112458866688. Its totient is φ = 13369584384.

The previous prime is 44101133987. The next prime is 44101134013. The reversal of 44101134012 is 21043110144.

It is a super-2 number, since 2×441011340122 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 44101134012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44101134013) 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, 4954638 + ... + 4963530.

It is an arithmetic number, because the mean of its divisors is an integer number (1171446528).

Almost surely, 244101134012 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 44101134012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56229433344).

44101134012 is an abundant number, since it is smaller than the sum of its proper divisors (68357732676).

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

44101134012 is a wasteful number, since it uses less digits than its factorization.

44101134012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9379 (or 9377 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 44101134012 its reverse (21043110144), we get a palindrome (65144244156).

The spelling of 44101134012 in words is "forty-four billion, one hundred one million, one hundred thirty-four thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 83 156 166 249 332 383 498 766 996 1079 1149 1532 2158 2298 3237 4316 4596 4979 6474 8893 9958 12948 14937 17786 19916 26679 29874 31789 35572 53358 59748 63578 95367 106716 115609 127156 190734 231218 346827 381468 413257 462436 693654 738119 826514 1239771 1387308 1476238 1653028 2214357 2479542 2952476 3406019 4428714 4959084 6812038 8857428 9595547 10218057 13624076 19191094 20436114 28786641 38382188 40872228 44278247 57573282 88556494 115146564 132834741 177112988 265669482 282699577 531338964 565399154 848098731 1130798308 1696197462 3392394924 3675094501 7350189002 11025283503 14700378004 22050567006 44101134012