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14450254000 = 245371379397
BaseRepresentation
bin11010111010100110…
…10110000010110000
31101022001200221221121
431131103112002300
5214043231112000
610345515032024
71021043063260
oct153523260260
941261627847
1014450254000
116145878786
12297343b614
131493997370
149b11dd7a0
15598921b1a
hex35d4d60b0

14450254000 has 160 divisors (see below), whose sum is σ = 43004497536. Its totient is φ = 4573209600.

The previous prime is 14450253967. The next prime is 14450254001. The reversal of 14450254000 is 45205441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (14450254001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142302 + ... + 221698.

Almost surely, 214450254000 is an apocalyptic number.

14450254000 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 14450254000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21502248768).

14450254000 is an abundant number, since it is smaller than the sum of its proper divisors (28554243536).

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

14450254000 is a wasteful number, since it uses less digits than its factorization.

14450254000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79440 (or 79424 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 14450254000 its reverse (45205441), we get a palindrome (14495459441).

The spelling of 14450254000 in words is "fourteen billion, four hundred fifty million, two hundred fifty-four thousand".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 25 26 28 35 40 50 52 56 65 70 80 91 100 104 112 125 130 140 175 182 200 208 250 260 280 325 350 364 400 455 500 520 560 650 700 728 875 910 1000 1040 1300 1400 1456 1625 1750 1820 2000 2275 2600 2800 3250 3500 3640 4550 5200 6500 7000 7280 9100 11375 13000 14000 18200 22750 26000 36400 45500 79397 91000 158794 182000 317588 396985 555779 635176 793970 1032161 1111558 1270352 1587940 1984925 2064322 2223116 2778895 3175880 3969850 4128644 4446232 5160805 5557790 6351760 7225127 7939700 8257288 8892464 9924625 10321610 11115580 13894475 14450254 15879400 16514576 19849250 20643220 22231160 25804025 27788950 28900508 31758800 36125635 39698500 41286440 44462320 51608050 55577900 57801016 69472375 72251270 79397000 82572880 103216100 111155800 115602032 129020125 138944750 144502540 158794000 180628175 206432200 222311600 258040250 277889500 289005080 361256350 412864400 516080500 555779000 578010160 722512700 903140875 1032161000 1111558000 1445025400 1806281750 2064322000 2890050800 3612563500 7225127000 14450254000