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14021234120 = 2354137322921
BaseRepresentation
bin11010000111011101…
…10000110111001000
31100012011102111022102
431003232300313020
5212203413442440
610235151412532
71004313344405
oct150356606710
940164374272
1014021234120
115a456917a3
122873824148
131425b34c4a
149702432ac
15570e29b15
hex343bb0dc8

14021234120 has 64 divisors (see below), whose sum is σ = 32405289840. Its totient is φ = 5456793600.

The previous prime is 14021234119. The next prime is 14021234131. The reversal of 14021234120 is 2143212041.

14021234120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2537539876 + 11483694244 = 50374^2 + 107162^2 .

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 = 14021234092 and 14021234101.

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, 600260 + ... + 623180.

Almost surely, 214021234120 is an apocalyptic number.

14021234120 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 14021234120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16202644920).

14021234120 is an abundant number, since it is smaller than the sum of its proper divisors (18384055720).

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

14021234120 is a wasteful number, since it uses less digits than its factorization.

14021234120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23346 (or 23342 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 14021234120 its reverse (2143212041), we get a palindrome (16164446161).

The spelling of 14021234120 in words is "fourteen billion, twenty-one million, two hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 373 410 746 820 1492 1640 1865 2984 3730 7460 14920 15293 22921 30586 45842 61172 76465 91684 114605 122344 152930 183368 229210 305860 458420 611720 916840 939761 1879522 3759044 4698805 7518088 8549533 9397610 17099066 18795220 34198132 37590440 42747665 68396264 85495330 170990660 341981320 350530853 701061706 1402123412 1752654265 2804246824 3505308530 7010617060 14021234120