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44311155111344 = 24112291099423261
BaseRepresentation
bin10100001001100111111101…
…01010001111010110110000
312210220002211120212002222202
422010303332222033112300
521301443221202030334
6234124132540122332
712222242505623642
oct1204637652172660
9183802746762882
1044311155111344
1113134289964220
124b779702363a8
131b956a72b79a4
14ad2958286892
1551c97c86417e
hex284cfea8f5b0

44311155111344 has 40 divisors (see below), whose sum is σ = 94066654296720. Its totient is φ = 20053480262400.

The previous prime is 44311155111323. The next prime is 44311155111347.

44311155111344 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44311155111298 and 44311155111307.

It is not an unprimeable number, because it can be changed into a prime (44311155111347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 549671327 + ... + 549751934.

It is an arithmetic number, because the mean of its divisors is an integer number (2351666357418).

Almost surely, 244311155111344 is an apocalyptic number.

44311155111344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44311155111344 is an abundant number, since it is smaller than the sum of its proper divisors (49755499185376).

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

44311155111344 is a wasteful number, since it uses less digits than its factorization.

44311155111344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099423509 (or 1099423503 counting only the distinct ones).

The product of its digits is 57600, while the sum is 38.

It can be divided in two parts, 4431115 and 5111344, that added together give a palindrome (9542459).

The spelling of 44311155111344 in words is "forty-four trillion, three hundred eleven billion, one hundred fifty-five million, one hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 229 458 916 1832 2519 3664 5038 10076 20152 40304 1099423261 2198846522 4397693044 8795386088 12093655871 17590772176 24187311742 48374623484 96749246968 193498493936 251767926769 503535853538 1007071707076 2014143414152 2769447194459 4028286828304 5538894388918 11077788777836 22155577555672 44311155111344