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44004022656 = 2731110499931
BaseRepresentation
bin101000111110110110…
…000001100110000000
311012120201022221222220
4220332312001212000
51210110012211111
632114250531040
73115314010146
oct507666014600
9135521287886
1044004022656
111773113a580
128640a36a80
1341c3781c39
1421b628b596
1512282a3e06
hexa3ed81980

44004022656 has 128 divisors (see below), whose sum is σ = 127646064000. Its totient is φ = 13320499200.

The previous prime is 44004022651. The next prime is 44004022661. The reversal of 44004022656 is 65622040044.

It is an interprime number because it is at equal distance from previous prime (44004022651) and next prime (44004022661).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×440040226562 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44004022651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4426011 + ... + 4435941.

It is an arithmetic number, because the mean of its divisors is an integer number (997234875).

Almost surely, 244004022656 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 44004022656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63823032000).

44004022656 is an abundant number, since it is smaller than the sum of its proper divisors (83642041344).

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

44004022656 is a wasteful number, since it uses less digits than its factorization.

44004022656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11008 (or 10996 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The spelling of 44004022656 in words is "forty-four billion, four million, twenty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1049 1056 1408 2098 2112 3147 4196 4224 6294 8392 9931 11539 12588 16784 19862 23078 25176 29793 33568 34617 39724 46156 50352 59586 67136 69234 79448 92312 100704 109241 119172 134272 138468 158896 184624 201408 218482 238344 276936 317792 327723 369248 402816 436964 476688 553872 635584 655446 738496 873928 953376 1107744 1271168 1310892 1476992 1747856 1906752 2215488 2621784 3495712 3813504 4430976 5243568 6991424 10417619 10487136 13982848 20835238 20974272 31252857 41670476 41948544 62505714 83340952 114593809 125011428 166681904 229187618 250022856 333363808 343781427 458375236 500045712 666727616 687562854 916750472 1000091424 1333455232 1375125708 1833500944 2000182848 2750251416 3667001888 4000365696 5500502832 7334003776 11001005664 14668007552 22002011328 44004022656