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44054000452 = 227112321129473
BaseRepresentation
bin101001000001110100…
…101011001101000100
311012201012101002122101
4221001310223031010
51210210311003302
632123234041444
73116461553050
oct510164531504
9135635332571
1044054000452
1117757375640
128655719284
134200c301b7
1421bcb7ac60
15122c877287
hexa41d2b344

44054000452 has 96 divisors (see below), whose sum is σ = 100775614464. Its totient is φ = 16339276800.

The previous prime is 44054000437. The next prime is 44054000483. The reversal of 44054000452 is 25400045044.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 44054000452.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1479988 + ... + 1509460.

It is an arithmetic number, because the mean of its divisors is an integer number (1049745984).

Almost surely, 244054000452 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 44054000452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50387807232).

44054000452 is an abundant number, since it is smaller than the sum of its proper divisors (56721614012).

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

44054000452 is a wasteful number, since it uses less digits than its factorization.

44054000452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29729 (or 29727 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 28.

Adding to 44054000452 its reverse (25400045044), we get a palindrome (69454045496).

The spelling of 44054000452 in words is "forty-four billion, fifty-four million, four hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 4 7 11 14 22 23 28 44 46 77 92 154 161 211 253 308 322 422 506 644 844 1012 1477 1771 2321 2954 3542 4642 4853 5908 7084 9284 9706 16247 19412 29473 32494 33971 53383 58946 64988 67942 106766 117892 135884 206311 213532 324203 373681 412622 648406 677879 747362 825244 1296812 1355758 1494724 2269421 2711516 4538842 4745153 6218803 7456669 9077684 9490306 12437606 14913338 18980612 24875212 29826676 43531621 52196683 68406833 87063242 104393366 136813666 143032469 174126484 208786732 273627332 286064938 478847831 572129876 957695662 1001227283 1573357159 1915391324 2002454566 3146714318 4004909132 6293428636 11013500113 22027000226 44054000452