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44220311302244 = 227111632633349097
BaseRepresentation
bin10100000110111110101111…
…11100100111000001100100
312210120102100112012110101112
422003133113330213001210
521244001144143132434
6234014310334044152
712212545352162360
oct1203372774470144
9183512315173345
1044220311302244
11130a98019aa940
124b62238949658
131b89c5a7142ac
14acc3bb2982a0
1551a4123a9dce
hex2837d7f27064

44220311302244 has 96 divisors (see below), whose sum is σ = 97441711589376. Its totient is φ = 17057883674880.

The previous prime is 44220311302231. The next prime is 44220311302289.

It is a happy number.

44220311302244 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 44220311302244.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11529104 + ... + 14878200.

It is an arithmetic number, because the mean of its divisors is an integer number (1015017829056).

Almost surely, 244220311302244 is an apocalyptic number.

44220311302244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44220311302244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48720855794688).

44220311302244 is an abundant number, since it is smaller than the sum of its proper divisors (53221400287132).

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

44220311302244 is a wasteful number, since it uses less digits than its factorization.

44220311302244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3349545 (or 3349543 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 4422031 and 1302244, that added together give a palindrome (5724275).

The spelling of 44220311302244 in words is "forty-four trillion, two hundred twenty billion, three hundred eleven million, three hundred two thousand, two hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 163 263 308 326 526 652 1052 1141 1793 1841 2282 2893 3586 3682 4564 5786 7172 7364 11572 12551 20251 25102 40502 42869 50204 81004 85738 171476 300083 471559 600166 943118 1200332 1886236 3300913 3349097 6601826 6698194 13203652 13396388 23443679 36840067 46887358 73680134 93774716 147360268 257880469 515760938 545902811 880812511 1031521876 1091805622 1761625022 2183611244 3523250044 3821319677 6004930921 6165687577 7642639354 9688937621 12009861842 12331375154 15285278708 19377875242 24019723684 24662750308 38755750484 42034516447 67822563347 84069032894 135645126694 143572439293 168138065788 271290253388 287144878586 574289757172 1005007075051 1579296832223 2010014150102 3158593664446 4020028300204 6317187328892 11055077825561 22110155651122 44220311302244