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44121336666 = 231121919316573
BaseRepresentation
bin101001000101110101…
…100010101101011010
311012212220002010120020
4221011311202231122
51210330030233131
632134041211310
73121240113411
oct510565425532
9135786063506
1044121336666
1117791387300
128674190b36
134211b78404
1421c7aa8478
151233728996
hexa45d62b5a

44121336666 has 96 divisors (see below), whose sum is σ = 102634163520. Its totient is φ = 12600023040.

The previous prime is 44121336659. The next prime is 44121336689. The reversal of 44121336666 is 66663312144.

44121336666 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×441213366664 (a number of 44 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2653956 + ... + 2670528.

It is an arithmetic number, because the mean of its divisors is an integer number (1069105870).

Almost surely, 244121336666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44121336666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51317081760).

44121336666 is an abundant number, since it is smaller than the sum of its proper divisors (58512826854).

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

44121336666 is a wasteful number, since it uses less digits than its factorization.

44121336666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16812 (or 16801 counting only the distinct ones).

The product of its digits is 373248, while the sum is 42.

The spelling of 44121336666 in words is "forty-four billion, one hundred twenty-one million, three hundred thirty-six thousand, six hundred sixty-six".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 121 193 209 242 363 386 418 579 627 726 1158 1254 2123 2299 3667 4246 4598 6369 6897 7334 11001 12738 13794 16573 22002 23353 33146 40337 46706 49719 70059 80674 99438 121011 140118 182303 242022 314887 364606 443707 546909 629774 887414 944661 1093818 1331121 1889322 2005333 2662242 3198589 3463757 4010666 6015999 6397178 6927514 9595767 10391271 12031998 19191534 20782542 35184479 38101327 60773191 70368958 76202654 105553437 114303981 121546382 182319573 211106874 228607962 364639146 387029269 668505101 774058538 1161087807 1337010202 2005515303 2322175614 4011030606 7353556111 14707112222 22060668333 44121336666