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14252100000 = 2535547507
BaseRepresentation
bin11010100010111110…
…11100100110100000
31100210020211200202120
431101133130212200
5213142014200000
610314115544240
71013115564645
oct152137344640
940706750676
1014252100000
116053a36746
122918bbb080
131461908388
14992b7bdcc
1558632e6a0
hex3517dc9a0

14252100000 has 144 divisors (see below), whose sum is σ = 46762694496. Its totient is φ = 3800480000.

The previous prime is 14252099993. The next prime is 14252100011. The reversal of 14252100000 is 125241.

14252100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 276247 + ... + 323753.

It is an arithmetic number, because the mean of its divisors is an integer number (324740934).

Almost surely, 214252100000 is an apocalyptic number.

14252100000 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 14252100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23381347248).

14252100000 is an abundant number, since it is smaller than the sum of its proper divisors (32510594496).

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

14252100000 is an frugal number, since it uses more digits than its factorization.

14252100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47545 (or 47517 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 14252100000 its reverse (125241), we get a palindrome (14252225241).

The spelling of 14252100000 in words is "fourteen billion, two hundred fifty-two million, one hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3125 3750 4000 5000 6000 6250 7500 9375 10000 12000 12500 15000 18750 20000 25000 30000 37500 47507 50000 60000 75000 95014 100000 142521 150000 190028 237535 285042 300000 380056 475070 570084 712605 760112 950140 1140168 1187675 1425210 1520224 1900280 2280336 2375350 2850420 3563025 3800560 4560672 4750700 5700840 5938375 7126050 7601120 9501400 11401680 11876750 14252100 17815125 19002800 22803360 23753500 28504200 29691875 35630250 38005600 47507000 57008400 59383750 71260500 89075625 95014000 114016800 118767500 142521000 148459375 178151250 190028000 237535000 285042000 296918750 356302500 445378125 475070000 570084000 593837500 712605000 890756250 950140000 1187675000 1425210000 1781512500 2375350000 2850420000 3563025000 4750700000 7126050000 14252100000