Search a number
-
+
44133555533144 = 2371171645382359
BaseRepresentation
bin10100000100011101001001…
…11001100111010101011000
312210021010102100220202102012
422002032210321213111120
521241041010204030034
6233510401524525052
712203354435255060
oct1202164471472530
9183233370822365
1044133555533144
1113075a325a2510
124b49466550788
131b81a12a7908c
14ac810b1ba3a0
15518035c66cce
hex2823a4e67558

44133555533144 has 32 divisors (see below), whose sum is σ = 103169350598400. Its totient is φ = 17194891765920.

The previous prime is 44133555533059. The next prime is 44133555533173.

44133555533144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44133555533092 and 44133555533101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35822690564 + ... + 35822691795.

It is an arithmetic number, because the mean of its divisors is an integer number (3224042206200).

Almost surely, 244133555533144 is an apocalyptic number.

44133555533144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44133555533144 is an abundant number, since it is smaller than the sum of its proper divisors (59035795065256).

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

44133555533144 is a wasteful number, since it uses less digits than its factorization.

44133555533144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71645382383 (or 71645382379 counting only the distinct ones).

The product of its digits is 12960000, while the sum is 50.

It can be divided in two parts, 4413355 and 5533144, that added together give a palindrome (9946499).

The spelling of 44133555533144 in words is "forty-four trillion, one hundred thirty-three billion, five hundred fifty-five million, five hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 71645382359 143290764718 286581529436 501517676513 573163058872 788099205949 1003035353026 1576198411898 2006070706052 3152396823796 4012141412104 5516694441643 6304793647592 11033388883286 22066777766572 44133555533144