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14404343190 = 235592137933
BaseRepresentation
bin11010110101001000…
…01101010110010110
31101011212022110011020
431122210031112112
5214000002440230
610341155022010
71016644616436
oct153244152626
941155273136
1014404343190
116121970266
12295bb9a906
1314873112c3
149a908c2c6
155948a3810
hex35a90d596

14404343190 has 48 divisors (see below), whose sum is σ = 35166549168. Its totient is φ = 3776026432.

The previous prime is 14404343179. The next prime is 14404343197. The reversal of 14404343190 is 9134340441.

14404343190 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×144043431902 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14404343197) 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 23 ways as a sum of consecutive naturals, for example, 35464 + ... + 173396.

It is an arithmetic number, because the mean of its divisors is an integer number (732636441).

Almost surely, 214404343190 is an apocalyptic number.

14404343190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14404343190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17583274584).

14404343190 is an abundant number, since it is smaller than the sum of its proper divisors (20762205978).

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

14404343190 is a wasteful number, since it uses less digits than its factorization.

14404343190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138061 (or 138002 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 14404343190 in words is "fourteen billion, four hundred four million, three hundred forty-three thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 59 118 177 295 354 590 885 1770 3481 6962 10443 17405 20886 34810 52215 104430 137933 275866 413799 689665 827598 1379330 2068995 4137990 8138047 16276094 24414141 40690235 48828282 81380470 122070705 244141410 480144773 960289546 1440434319 2400723865 2880868638 4801447730 7202171595 14404343190