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14153443140 = 22351967185303
BaseRepresentation
bin11010010111001110…
…00110011101000100
31100112101012101222210
431023213012131010
5212441240140030
610300233223420
71010510165424
oct151347063504
940471171883
1014153443140
116003282351
1228abb61b70
131447345035
14983a1a484
1557c842bb0
hex34b9c6744

14153443140 has 96 divisors (see below), whose sum is σ = 42338257920. Its totient is φ = 3522220416.

The previous prime is 14153443123. The next prime is 14153443147. The reversal of 14153443140 is 4134435141.

14153443140 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 14153443098 and 14153443107.

It is not an unprimeable number, because it can be changed into a prime (14153443147) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 16272 + ... + 169031.

It is an arithmetic number, because the mean of its divisors is an integer number (441023520).

Almost surely, 214153443140 is an apocalyptic number.

14153443140 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 14153443140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21169128960).

14153443140 is an abundant number, since it is smaller than the sum of its proper divisors (28184814780).

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

14153443140 is a wasteful number, since it uses less digits than its factorization.

14153443140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185401 (or 185399 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 14153443140 its reverse (4134435141), we get a palindrome (18287878281).

The spelling of 14153443140 in words is "fourteen billion, one hundred fifty-three million, four hundred forty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 67 76 95 114 134 190 201 228 268 285 335 380 402 570 670 804 1005 1140 1273 1340 2010 2546 3819 4020 5092 6365 7638 12730 15276 19095 25460 38190 76380 185303 370606 555909 741212 926515 1111818 1853030 2223636 2779545 3520757 3706060 5559090 7041514 10562271 11118180 12415301 14083028 17603785 21124542 24830602 35207570 37245903 42249084 49661204 52811355 62076505 70415140 74491806 105622710 124153010 148983612 186229515 211245420 235890719 248306020 372459030 471781438 707672157 744918060 943562876 1179453595 1415344314 2358907190 2830688628 3538360785 4717814380 7076721570 14153443140