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44136133163144 = 2311883568003361
BaseRepresentation
bin10100000100100001111101…
…00010011111100010001000
312210021101002000011221000222
422002100332202133202020
521241111300042210034
6233511505404245212
712203505344616251
oct1202207642374210
9183241060157028
1044136133163144
11130770355a9040
124b49a65840808
131b82033ab8c29
14ac82b3677b28
155181371c912e
hex28243e89f888

44136133163144 has 32 divisors (see below), whose sum is σ = 90380694961440. Its totient is φ = 20039158540800.

The previous prime is 44136133163113. The next prime is 44136133163159.

It is a happy number.

44136133163144 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 44136133163095 and 44136133163104.

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 7 ways as a sum of consecutive naturals, for example, 283923977 + ... + 284079384.

It is an arithmetic number, because the mean of its divisors is an integer number (2824396717545).

Almost surely, 244136133163144 is an apocalyptic number.

44136133163144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44136133163144 is an abundant number, since it is smaller than the sum of its proper divisors (46244561798296).

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

44136133163144 is a wasteful number, since it uses less digits than its factorization.

44136133163144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568004261 (or 568004257 counting only the distinct ones).

The product of its digits is 746496, while the sum is 44.

It can be divided in two parts, 4413613 and 3163144, that added together give a palindrome (7576757).

The spelling of 44136133163144 in words is "forty-four trillion, one hundred thirty-six billion, one hundred thirty-three million, one hundred sixty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 883 1766 3532 7064 9713 19426 38852 77704 568003361 1136006722 2272013444 4544026888 6248036971 12496073942 24992147884 49984295768 501546967763 1003093935526 2006187871052 4012375742104 5517016645393 11034033290786 22068066581572 44136133163144