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14245112024 = 231113167173431
BaseRepresentation
bin11010100010001001…
…10010100011011000
31100202202200200001122
431101010302203120
5213133222041044
610313310104412
71013002311563
oct152104624330
940682620048
1014245112024
11604aaa3560
1229167ab108
13146032c790
14991c7d4da
155858eddee
hex3511328d8

14245112024 has 128 divisors (see below), whose sum is σ = 31823124480. Its totient is φ = 5893132800.

The previous prime is 14245112017. The next prime is 14245112029. The reversal of 14245112024 is 42021154241.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 14245111984 and 14245112002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14245112029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33051089 + ... + 33051519.

It is an arithmetic number, because the mean of its divisors is an integer number (248618160).

Almost surely, 214245112024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14245112024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15911562240).

14245112024 is an abundant number, since it is smaller than the sum of its proper divisors (17578012456).

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

14245112024 is a wasteful number, since it uses less digits than its factorization.

14245112024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

Adding to 14245112024 its reverse (42021154241), we get a palindrome (56266266265).

The spelling of 14245112024 in words is "fourteen billion, two hundred forty-five million, one hundred twelve thousand, twenty-four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 167 173 286 334 346 431 572 668 692 862 1144 1336 1384 1724 1837 1903 2171 2249 3448 3674 3806 4342 4498 4741 5603 7348 7612 8684 8996 9482 11206 14696 15224 17368 17992 18964 22412 23881 24739 28891 37928 44824 47762 49478 57782 61633 71977 74563 95524 98956 115564 123266 143954 149126 191048 197912 231128 246532 287908 298252 317801 375583 493064 575816 596504 635602 751166 791747 820193 935701 969319 1271204 1502332 1583494 1640386 1871402 1938638 2542408 3004664 3166988 3280772 3742804 3877276 4131413 6333976 6561544 7485608 7754552 8262826 10292711 10662509 12452021 16525652 20585422 21325018 24904042 33051304 41170844 42650036 49808084 82341688 85300072 99616168 136972231 161876273 273944462 323752546 547888924 647505092 1095777848 1295010184 1780639003 3561278006 7122556012 14245112024