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14021225120 = 2557106311777
BaseRepresentation
bin11010000111011101…
…01110101010100000
31100012011102000222002
431003232232222200
5212203413200440
610235151303132
71004313306230
oct150356565240
940164360862
1014021225120
115a45685a61
12287381aaa8
131425b30b16
1497023dcc0
15570e27115
hex343baeaa0

14021225120 has 96 divisors (see below), whose sum is σ = 37896139008. Its totient is φ = 4802347008.

The previous prime is 14021225117. The next prime is 14021225131. The reversal of 14021225120 is 2152212041.

14021225120 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 14021225092 and 14021225101.

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 15 ways as a sum of consecutive naturals, for example, 1184672 + ... + 1196448.

It is an arithmetic number, because the mean of its divisors is an integer number (394751448).

Almost surely, 214021225120 is an apocalyptic number.

14021225120 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 14021225120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18948069504).

14021225120 is an abundant number, since it is smaller than the sum of its proper divisors (23874913888).

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

14021225120 is a wasteful number, since it uses less digits than its factorization.

14021225120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12862 (or 12854 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 14021225120 its reverse (2152212041), we get a palindrome (16173437161).

The spelling of 14021225120 in words is "fourteen billion, twenty-one million, two hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1063 1120 2126 4252 5315 7441 8504 10630 11777 14882 17008 21260 23554 29764 34016 37205 42520 47108 58885 59528 74410 82439 85040 94216 117770 119056 148820 164878 170080 188432 235540 238112 297640 329756 376864 412195 471080 595280 659512 824390 942160 1190560 1319024 1648780 1884320 2638048 3297560 6595120 12518951 13190240 25037902 50075804 62594755 87632657 100151608 125189510 175265314 200303216 250379020 350530628 400606432 438163285 500758040 701061256 876326570 1001516080 1402122512 1752653140 2003032160 2804245024 3505306280 7010612560 14021225120