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14142040000 = 26541132141
BaseRepresentation
bin11010010101110111…
…00110011111000000
31100111120202001211021
431022323212133000
5212430330240000
610255144555224
71010311233214
oct151273463700
940446661737
1014142040000
115aa78a3a70
1228a8182b14
131444b8190a
149822cc944
1557b83e11a
hex34aee67c0

14142040000 has 140 divisors (see below), whose sum is σ = 38256822648. Its totient is φ = 5142400000.

The previous prime is 14142039983. The next prime is 14142040007. The reversal of 14142040000 is 4024141.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14142040007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 423930 + ... + 456070.

Almost surely, 214142040000 is an apocalyptic number.

14142040000 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 14142040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19128411324).

14142040000 is an abundant number, since it is smaller than the sum of its proper divisors (24114782648).

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

14142040000 is an equidigital number, since it uses as much as digits as its factorization.

14142040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32184 (or 32159 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 14142040000 its reverse (4024141), we get a palindrome (14146064141).

The spelling of 14142040000 in words is "fourteen billion, one hundred forty-two million, forty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 625 704 800 880 1000 1100 1250 1375 1600 1760 2000 2200 2500 2750 3520 4000 4400 5000 5500 6875 8000 8800 10000 11000 13750 17600 20000 22000 27500 32141 40000 44000 55000 64282 88000 110000 128564 160705 220000 257128 321410 353551 440000 514256 642820 707102 803525 1028512 1285640 1414204 1607050 1767755 2057024 2571280 2828408 3214100 3535510 4017625 5142560 5656816 6428200 7071020 8035250 8838775 10285120 11313632 12856400 14142040 16070500 17677550 20088125 22627264 25712800 28284080 32141000 35355100 40176250 44193875 51425600 56568160 64282000 70710200 80352500 88387750 113136320 128564000 141420400 160705000 176775500 220969375 257128000 282840800 321410000 353551000 441938750 565681600 642820000 707102000 883877500 1285640000 1414204000 1767755000 2828408000 3535510000 7071020000 14142040000