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14050305450 = 23252199156899
BaseRepresentation
bin11010001010111011…
…01010010110101010
31100021012010110200100
431011131222112222
5212233334233300
610242110450230
71005115424436
oct150535522652
940235113610
1014050305450
115a60038495
122881503976
13142bb7330c
1497404d9c6
1557376d700
hex34576a5aa

14050305450 has 72 divisors (see below), whose sum is σ = 37938420000. Its totient is φ = 3727896480.

The previous prime is 14050305431. The next prime is 14050305509. The reversal of 14050305450 is 5450305041.

14050305450 is a `hidden beast` number, since 1 + 40 + 50 + 30 + 545 + 0 = 666.

It is a super-2 number, since 2×140503054502 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11101 + ... + 167999.

It is an arithmetic number, because the mean of its divisors is an integer number (526922500).

Almost surely, 214050305450 is an apocalyptic number.

14050305450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14050305450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18969210000).

14050305450 is an abundant number, since it is smaller than the sum of its proper divisors (23888114550).

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

14050305450 is a wasteful number, since it uses less digits than its factorization.

14050305450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157116 (or 157108 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 14050305450 in words is "fourteen billion, fifty million, three hundred five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 199 225 398 450 597 995 1194 1791 1990 2985 3582 4975 5970 8955 9950 14925 17910 29850 44775 89550 156899 313798 470697 784495 941394 1412091 1568990 2353485 2824182 3922475 4706970 7060455 7844950 11767425 14120910 23534850 31222901 35302275 62445802 70604550 93668703 156114505 187337406 281006109 312229010 468343515 562012218 780572525 936687030 1405030545 1561145050 2341717575 2810061090 4683435150 7025152725 14050305450