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14401442320452 = 223211113177321331
BaseRepresentation
bin1101000110010001100011…
…0110101001000001000100
31212222202122021110210110100
43101210120312221001010
53341423123213223302
650343533053124100
73014320110645345
oct321443066510104
955882567423410
1014401442320452
114652687821760
121747119a89630
1380608633a835
1437b067ddc0cc
1519e93424ad1c
hexd1918da9044

14401442320452 has 72 divisors (see below), whose sum is σ = 39713542700832. Its totient is φ = 4364021289600.

The previous prime is 14401442320429. The next prime is 14401442320523. The reversal of 14401442320452 is 25402324410441.

14401442320452 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 1 + 442 + 3 + 204 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44657427 + ... + 44978757.

It is an arithmetic number, because the mean of its divisors is an integer number (551576981956).

Almost surely, 214401442320452 is an apocalyptic number.

14401442320452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14401442320452 is an abundant number, since it is smaller than the sum of its proper divisors (25312100380380).

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

14401442320452 is a wasteful number, since it uses less digits than its factorization.

14401442320452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434529 (or 434524 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 14401442320452 its reverse (25402324410441), we get a palindrome (39803766730893).

The spelling of 14401442320452 in words is "fourteen trillion, four hundred one billion, four hundred forty-two million, three hundred twenty thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 113177 226354 321331 339531 452708 642662 679062 963993 1018593 1244947 1285324 1358124 1927986 2037186 2489894 2891979 3534641 3734841 3855972 4074372 4979788 5783958 7069282 7469682 10603923 11204523 11567916 14138564 14939364 21207846 22409046 31811769 42415692 44818092 63623538 127247076 36367278587 72734557174 109101835761 145469114348 218203671522 327305507283 400040064457 436407343044 654611014566 800080128914 1200120193371 1309222029132 1600160257828 2400240386742 3600360580113 4800480773484 7200721160226 14401442320452