Search a number
-
+
4044075568352 = 253141211347057
BaseRepresentation
bin111010110110010101101…
…100000000110011100000
3112022121110120122120011122
4322312111230000303200
51012224231321141402
612333453410231412
7565113651105311
oct72662554006340
915277416576148
104044075568352
11131a0a0258516
12553928885568
1323447c33a8b1
14dda3ccd2608
15702e0692ca2
hex3ad95b00ce0

4044075568352 has 96 divisors (see below), whose sum is σ = 8423222379264. Its totient is φ = 1908139622400.

The previous prime is 4044075568177. The next prime is 4044075568367. The reversal of 4044075568352 is 2538655704404.

It is a junction number, because it is equal to n+sod(n) for n = 4044075568294 and 4044075568303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85916408 + ... + 85963464.

It is an arithmetic number, because the mean of its divisors is an integer number (87741899784).

Almost surely, 24044075568352 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 4044075568352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4211611189632).

4044075568352 is an abundant number, since it is smaller than the sum of its proper divisors (4379146810912).

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

4044075568352 is a wasteful number, since it uses less digits than its factorization.

4044075568352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49252 (or 49244 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 53.

The spelling of 4044075568352 in words is "four trillion, forty-four billion, seventy-five million, five hundred sixty-eight thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 31 32 41 62 82 124 164 248 328 496 656 992 1271 1312 2113 2542 4226 5084 8452 10168 16904 20336 33808 40672 47057 65503 67616 86633 94114 131006 173266 188228 262012 346532 376456 524024 693064 752912 1048048 1386128 1458767 1505824 1929337 2096096 2685623 2772256 2917534 3858674 5371246 5835068 7717348 10742492 11670136 15434696 21484984 23340272 30869392 42969968 46680544 59809447 61738784 85939936 99431441 119618894 198862882 239237788 397725764 478475576 795451528 956951152 1590903056 1913902304 3082374671 3181806112 4076689081 6164749342 8153378162 12329498684 16306756324 24658997368 32613512648 49317994736 65227025296 98635989472 126377361511 130454050592 252754723022 505509446044 1011018892088 2022037784176 4044075568352