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14234145440 = 255109781097
BaseRepresentation
bin11010100000110101…
…11101001010100000
31100202000001111201212
431100122331022200
5213122420123230
610312235045252
71012510145204
oct152032751240
940660044655
1014234145440
116044893169
122912ba0828
13145ac8cc88
14990626b04
15584984895
hex3506bd2a0

14234145440 has 48 divisors (see below), whose sum is σ = 33659238312. Its totient is φ = 5688397824.

The previous prime is 14234145427. The next prime is 14234145451. The reversal of 14234145440 is 4454143241.

It can be written as a sum of positive squares in 4 ways, for example, as 13319929744 + 914215696 = 115412^2 + 30236^2 .

It is a super-2 number, since 2×142341454402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 14234145397 and 14234145406.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134972 + ... + 216068.

Almost surely, 214234145440 is an apocalyptic number.

14234145440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14234145440 is an abundant number, since it is smaller than the sum of its proper divisors (19425092872).

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

14234145440 is a wasteful number, since it uses less digits than its factorization.

14234145440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82209 (or 82201 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 14234145440 its reverse (4454143241), we get a palindrome (18688288681).

It can be divided in two parts, 142341 and 45440, that added together give a palindrome (187781).

The spelling of 14234145440 in words is "fourteen billion, two hundred thirty-four million, one hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1097 2194 4388 5485 8776 10970 17552 21940 35104 43880 81097 87760 162194 175520 324388 405485 648776 810970 1297552 1621940 2595104 3243880 6487760 12975520 88963409 177926818 355853636 444817045 711707272 889634090 1423414544 1779268180 2846829088 3558536360 7117072720 14234145440