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4412412142144 = 262332851103787
BaseRepresentation
bin100000000110101100001…
…0000100010001001000000
3120121211012120220020000021
41000031120100202021000
51034243110002022034
613215011213303224
7633533454243346
oct100153020421100
916554176806007
104412412142144
111451325694086
125b31a3a94b14
1326011caa1786
141137c1b65996
1579b9c3d56b4
hex40358422240

4412412142144 has 56 divisors (see below), whose sum is σ = 8796628327968. Its totient is φ = 2195945702400.

The previous prime is 4412412142111. The next prime is 4412412142189.

4412412142144 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42462219 + ... + 42566005.

Almost surely, 24412412142144 is an apocalyptic number.

It is an amenable number.

4412412142144 is a deficient number, since it is larger than the sum of its proper divisors (4384216185824).

4412412142144 is a wasteful number, since it uses less digits than its factorization.

4412412142144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106883 (or 106873 counting only the distinct ones).

The product of its digits is 32768, while the sum is 34.

The spelling of 4412412142144 in words is "four trillion, four hundred twelve billion, four hundred twelve million, one hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 233 466 932 1864 2851 3728 5702 7456 11404 14912 22808 45616 91232 103787 182464 207574 415148 664283 830296 1328566 1660592 2657132 3321184 5314264 6642368 10628528 21257056 24182371 42514112 48364742 96729484 193458968 295896737 386917936 591793474 773835872 1183586948 1547671744 2367173896 4734347792 9468695584 18937391168 68943939721 137887879442 275775758884 551551517768 1103103035536 2206206071072 4412412142144