Search a number
-
+
44054511451452 = 223318123310519203
BaseRepresentation
bin10100000010001001111011…
…00000010111110100111100
312202222120101122112100211000
422001010331200113310330
521233242114412421302
6233410210235530300
712164555601536235
oct1201047540276474
9182876348470730
1044054511451452
1113045460240a67
124b360868b9990
131b774269b8ac8
14ac436d39608c
15515e5b66d31c
hex28113d817d3c

44054511451452 has 192 divisors, whose sum is σ = 115461614661120. Its totient is φ = 14525614656000.

The previous prime is 44054511451429. The next prime is 44054511451471. The reversal of 44054511451452 is 25415411545044.

44054511451452 is a `hidden beast` number, since 4 + 4 + 0 + 5 + 4 + 51 + 145 + 1 + 452 = 666.

It is a super-2 number, since 2×440545114514522 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44054511451398 and 44054511451407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4786968283 + ... + 4786977485.

It is an arithmetic number, because the mean of its divisors is an integer number (601362576360).

Almost surely, 244054511451452 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 44054511451452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57730807330560).

44054511451452 is an abundant number, since it is smaller than the sum of its proper divisors (71407103209668).

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

44054511451452 is a wasteful number, since it uses less digits than its factorization.

44054511451452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10681 (or 10673 counting only the distinct ones).

The product of its (nonzero) digits is 1280000, while the sum is 45.

Adding to 44054511451452 its reverse (25415411545044), we get a palindrome (69469922996496).

The spelling of 44054511451452 in words is "forty-four trillion, fifty-four billion, five hundred eleven million, four hundred fifty-one thousand, four hundred fifty-two".