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14252655440 = 245192796247
BaseRepresentation
bin11010100011000011…
…00100001101010000
31100210021212220200102
431101201210031100
5213142134433230
610314135511532
71013123400212
oct152141441520
940707786612
1014252655440
116054285a91
1229192285a8
131461a7113a
14992c845b2
155863de045
hex351864350

14252655440 has 120 divisors (see below), whose sum is σ = 35421661440. Its totient is φ = 5331785472.

The previous prime is 14252655427. The next prime is 14252655457. The reversal of 14252655440 is 4455625241.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 14252655394 and 14252655403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2278397 + ... + 2284643.

It is an arithmetic number, because the mean of its divisors is an integer number (295180512).

Almost surely, 214252655440 is an apocalyptic number.

14252655440 is a gapful number since it is divisible by the number (10) 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 14252655440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17710830720).

14252655440 is an abundant number, since it is smaller than the sum of its proper divisors (21169006000).

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

14252655440 is a wasteful number, since it uses less digits than its factorization.

14252655440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6377 (or 6352 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 38.

The spelling of 14252655440 in words is "fourteen billion, two hundred fifty-two million, six hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 79 80 95 152 158 190 304 316 361 380 395 632 722 760 790 1264 1444 1501 1520 1580 1805 2888 3002 3160 3610 5776 6004 6247 6320 7220 7505 12008 12494 14440 15010 24016 24988 28519 28880 30020 31235 49976 57038 60040 62470 99952 114076 118693 120080 124940 142595 228152 237386 249880 285190 456304 474772 493513 499760 570380 593465 949544 987026 1140760 1186930 1899088 1974052 2255167 2281520 2373860 2467565 3948104 4510334 4747720 4935130 7896208 9020668 9376747 9495440 9870260 11275835 18041336 18753494 19740520 22551670 36082672 37506988 39481040 45103340 46883735 75013976 90206680 93767470 150027952 178158193 180413360 187534940 356316386 375069880 712632772 750139760 890790965 1425265544 1781581930 2850531088 3563163860 7126327720 14252655440