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44083106712 = 2333297339601
BaseRepresentation
bin101001000011100011…
…101101001110011000
311012210020010211221000
4221003203231032120
51210240233403322
632130153545000
73120264140001
oct510343551630
9135706124830
1044083106712
11177718455a7
128663415160
134206c81438
1421c29961a8
1512301c63ac
hexa438ed398

44083106712 has 128 divisors (see below), whose sum is σ = 126861624000. Its totient is φ = 14166835200.

The previous prime is 44083106707. The next prime is 44083106723. The reversal of 44083106712 is 21760138044.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 4586712 + ... + 4596312.

Almost surely, 244083106712 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 44083106712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63430812000).

44083106712 is an abundant number, since it is smaller than the sum of its proper divisors (82778517288).

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

44083106712 is a wasteful number, since it uses less digits than its factorization.

44083106712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10378 (or 10368 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 44083106712 in words is "forty-four billion, eighty-three million, one hundred six thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 522 696 733 783 1044 1466 1566 2088 2199 2932 3132 4398 5864 6264 6597 8796 9601 13194 17592 19202 19791 21257 26388 28803 38404 39582 42514 52776 57606 63771 76808 79164 85028 86409 115212 127542 158328 170056 172818 191313 230424 255084 259227 278429 345636 382626 510168 518454 556858 573939 691272 765252 835287 1036908 1113716 1147878 1530504 1670574 2073816 2227432 2295756 2505861 3341148 4591512 5011722 6682296 7037533 7517583 10023444 14075066 15035166 20046888 21112599 28150132 30070332 42225198 56300264 60140664 63337797 84450396 126675594 168900792 190013391 204088457 253351188 380026782 408176914 506702376 612265371 760053564 816353828 1224530742 1520107128 1632707656 1836796113 2449061484 3673592226 4898122968 5510388339 7347184452 11020776678 14694368904 22041553356 44083106712