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4441412242040 = 2352411453317087
BaseRepresentation
bin100000010100001100011…
…0011001000101001111000
3120201121001122200221022012
41000220120303020221320
51040232003013221130
613240205010145052
7635611223105504
oct100503063105170
916647048627265
104441412242040
111462657472394
125b8937b82188
13262a91c62cb7
14114d7348b304
157a7e834c995
hex40a18cc8a78

4441412242040 has 64 divisors (see below), whose sum is σ = 10041580834560. Its totient is φ = 1767970068480.

The previous prime is 4441412242021. The next prime is 4441412242087. The reversal of 4441412242040 is 402422141444.

It is a super-2 number, since 2×44414122420402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4441412241988 and 4441412242006.

It is a congruent number.

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, 13848377 + ... + 14165463.

It is an arithmetic number, because the mean of its divisors is an integer number (156899700540).

Almost surely, 24441412242040 is an apocalyptic number.

4441412242040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4441412242040 is an abundant number, since it is smaller than the sum of its proper divisors (5600168592520).

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

4441412242040 is a wasteful number, since it uses less digits than its factorization.

4441412242040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318792 (or 318788 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 4441412242040 its reverse (402422141444), we get a palindrome (4843834383484).

The spelling of 4441412242040 in words is "four trillion, four hundred forty-one billion, four hundred twelve million, two hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 241 482 964 1205 1453 1928 2410 2906 4820 5812 7265 9640 11624 14530 29060 58120 317087 350173 634174 700346 1268348 1400692 1585435 1750865 2536696 2801384 3170870 3501730 6341740 7003460 12683480 14006920 76417967 152835934 305671868 382089835 460727411 611343736 764179670 921454822 1528359340 1842909644 2303637055 3056718680 3685819288 4607274110 9214548220 18429096440 111035306051 222070612102 444141224204 555176530255 888282448408 1110353060510 2220706121020 4441412242040