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1424125253334 = 23743238347881
BaseRepresentation
bin10100101110010100011…
…110101101011011010110
312001010220201220122110010
4110232110132231123112
5141313102031101314
63010122322341050
7204614102631420
oct24562436553326
95033821818403
101424125253334
114a9a71640193
121b00087ba786
13a43a9b492c4
144ccdc72b810
15270a1143059
hex14b947ad6d6

1424125253334 has 96 divisors (see below), whose sum is σ = 3341376036864. Its totient is φ = 396384347520.

The previous prime is 1424125253329. The next prime is 1424125253351. The reversal of 1424125253334 is 4333525214241.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1424125253292 and 1424125253301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29719074 + ... + 29766954.

It is an arithmetic number, because the mean of its divisors is an integer number (34806000384).

Almost surely, 21424125253334 is an apocalyptic number.

1424125253334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1424125253334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670688018432).

1424125253334 is an abundant number, since it is smaller than the sum of its proper divisors (1917250783530).

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

1424125253334 is a wasteful number, since it uses less digits than its factorization.

1424125253334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48362 (or 48319 counting only the distinct ones).

The product of its digits is 345600, while the sum is 39.

The spelling of 1424125253334 in words is "one trillion, four hundred twenty-four billion, one hundred twenty-five million, two hundred fifty-three thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 43 86 129 258 301 383 602 766 903 1149 1806 1849 2298 2681 3698 5362 5547 8043 11094 12943 16086 16469 25886 32938 38829 47881 49407 77658 95762 98814 115283 143643 230566 287286 335167 345849 670334 691698 708167 1005501 1416334 2011002 2058883 2124501 4117766 4249002 4957169 6176649 9914338 12353298 14412181 14871507 18338423 28824362 29743014 36676846 43236543 55015269 86473086 88531969 110030538 128368961 177063938 256737922 265595907 385106883 531191814 619723783 770213766 788552189 1239447566 1577104378 1859171349 2365656567 3718342698 4731313134 5519865323 11039730646 16559595969 33119191938 33907744127 67815488254 101723232381 203446464762 237354208889 474708417778 712062626667 1424125253334