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4404242354031 = 32133138915711987
BaseRepresentation
bin100000000010111000101…
…0011010000111101101111
3120121001010012222222121100
41000011301103100331233
51034124342020312111
613211140410334143
7633124142216202
oct100056123207557
916531105888540
104404242354031
111448912a99383
125b16a3a2a353
1325c41a321920
14113248b01939
157987004c756
hex401714d0f6f

4404242354031 has 96 divisors (see below), whose sum is σ = 7098308904960. Its totient is φ = 2613150201600.

The previous prime is 4404242353991. The next prime is 4404242354077. The reversal of 4404242354031 is 1304532424044.

4404242354031 is a `hidden beast` number, since 4 + 4 + 0 + 4 + 242 + 3 + 5 + 403 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-4404242354031 is a prime.

It is a super-2 number, since 2×44042423540312 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4404242754031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2216527620 + ... + 2216529606.

It is an arithmetic number, because the mean of its divisors is an integer number (73940717760).

Almost surely, 24404242354031 is an apocalyptic number.

4404242354031 is a deficient number, since it is larger than the sum of its proper divisors (2694066550929).

4404242354031 is a wasteful number, since it uses less digits than its factorization.

4404242354031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3997 (or 3994 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 4404242354031 its reverse (1304532424044), we get a palindrome (5708774778075).

The spelling of 4404242354031 in words is "four trillion, four hundred four billion, two hundred forty-two million, three hundred fifty-four thousand, thirty-one".

Divisors: 1 3 9 13 31 39 93 117 279 389 403 1167 1209 1571 1987 3501 3627 4713 5057 5961 12059 14139 15171 17883 20423 25831 36177 45513 48701 61269 61597 77493 108531 146103 156767 183807 184791 232479 438309 470301 554373 611119 633113 772943 800761 1410903 1833357 1899339 2318829 2402283 3121577 5500071 5698017 6956487 7206849 7944547 9364731 10048259 18944689 23833641 23961233 28094193 30144777 40580501 56834067 71500923 71883699 90434331 96768887 121741503 170502201 215651097 246280957 290306661 311496029 365224509 738842871 870919983 934488087 1214293453 1257995531 2216528613 2803464261 3642880359 3773986593 10928641077 11321959779 15785814889 37643097043 47357444667 112929291129 142072334001 338787873387 489360261559 1468080784677 4404242354031