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4424022211120 = 2451272339186163
BaseRepresentation
bin100000001100000110001…
…0001011011101000110000
3120122221011201021211112221
41000120030101123220300
51034440344141223440
613224211233330424
7634424252223061
oct100301421335060
916587151254487
104424022211120
111456243227806
125b54a4106a14
1326125020ba85
141141a3a80568
157a12b7d0d4a
hex4060c45ba30

4424022211120 has 80 divisors (see below), whose sum is σ = 10371330478080. Its totient is φ = 1754914920192.

The previous prime is 4424022211061. The next prime is 4424022211139. The reversal of 4424022211120 is 211122204244.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23671159 + ... + 23857321.

It is an arithmetic number, because the mean of its divisors is an integer number (129641630976).

Almost surely, 24424022211120 is an apocalyptic number.

4424022211120 is a gapful number since it is divisible by the number (40) 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 4424022211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5185665239040).

4424022211120 is an abundant number, since it is smaller than the sum of its proper divisors (5947308266960).

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

4424022211120 is a wasteful number, since it uses less digits than its factorization.

4424022211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188642 (or 188636 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 4424022211120 its reverse (211122204244), we get a palindrome (4635144415364).

The spelling of 4424022211120 in words is "four trillion, four hundred twenty-four billion, twenty-two million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 127 254 508 635 1016 1270 2032 2339 2540 4678 5080 9356 10160 11695 18712 23390 37424 46780 93560 186163 187120 297053 372326 594106 744652 930815 1188212 1485265 1489304 1861630 2376424 2970530 2978608 3723260 4752848 5941060 7446520 11882120 14893040 23642701 23764240 47285402 94570804 118213505 189141608 236427010 378283216 435435257 472854020 870870514 945708040 1741741028 1891416080 2177176285 3483482056 4354352570 6966964112 8708705140 17417410280 34834820560 55300277639 110600555278 221201110556 276501388195 442402221112 553002776390 884804442224 1106005552780 2212011105560 4424022211120