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14245123440 = 2435337317597
BaseRepresentation
bin11010100010001001…
…10101010101110000
31100202202201020201110
431101010311111300
5213133222422230
610313310233320
71013002360062
oct152104652560
940682636643
1014245123440
116050001099
1229167b5840
131460334a32
14991c83732
155859024b0
hex351135570

14245123440 has 80 divisors (see below), whose sum is σ = 44175485088. Its totient is φ = 3797357568.

The previous prime is 14245123423. The next prime is 14245123447. The reversal of 14245123440 is 4432154241.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 14245123398 and 14245123407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14245123447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 800722 + ... + 818318.

Almost surely, 214245123440 is an apocalyptic number.

14245123440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14245123440 is an abundant number, since it is smaller than the sum of its proper divisors (29930361648).

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

14245123440 is a wasteful number, since it uses less digits than its factorization.

14245123440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20986 (or 20980 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 14245123440 its reverse (4432154241), we get a palindrome (18677277681).

The spelling of 14245123440 in words is "fourteen billion, two hundred forty-five million, one hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 3373 6746 10119 13492 16865 17597 20238 26984 33730 35194 40476 50595 52791 53968 67460 70388 80952 87985 101190 105582 134920 140776 161904 175970 202380 211164 263955 269840 281552 351940 404760 422328 527910 703880 809520 844656 1055820 1407760 2111640 4223280 59354681 118709362 178064043 237418724 296773405 356128086 474837448 593546810 712256172 890320215 949674896 1187093620 1424512344 1780640430 2374187240 2849024688 3561280860 4748374480 7122561720 14245123440