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44412244221444 = 22311336456395617
BaseRepresentation
bin10100001100100100010000…
…00010100101111000000100
312211020202202122211222102120
422012102020002211320010
521310122234010041234
6234242411530405540
712232451546111361
oct1206221002457004
9184222678758376
1044412244221444
1113173144046910
124b934828908b0
131ba2097634478
14ad77c7c0d468
155203e74d3049
hex2864880a5e04

44412244221444 has 24 divisors (see below), whose sum is σ = 113049348927648. Its totient is φ = 13458255824640.

The previous prime is 44412244221437. The next prime is 44412244221473.

44412244221444 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 44412244221396 and 44412244221405.

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, 168228197677 + ... + 168228197940.

It is an arithmetic number, because the mean of its divisors is an integer number (4710389538652).

Almost surely, 244412244221444 is an apocalyptic number.

44412244221444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44412244221444 is an abundant number, since it is smaller than the sum of its proper divisors (68637104706204).

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

44412244221444 is a wasteful number, since it uses less digits than its factorization.

44412244221444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336456395635 (or 336456395633 counting only the distinct ones).

The product of its digits is 1048576, while the sum is 42.

It can be divided in two parts, 4441224 and 4221444, that added together give a palindrome (8662668).

The spelling of 44412244221444 in words is "forty-four trillion, four hundred twelve billion, two hundred forty-four million, two hundred twenty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 336456395617 672912791234 1009369186851 1345825582468 2018738373702 3701020351787 4037476747404 7402040703574 11103061055361 14804081407148 22206122110722 44412244221444