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12144254424 = 2334730735069
BaseRepresentation
bin10110100111101101…
…01001110111011000
31011100100120001012220
423103312221313120
5144332412120144
65325021304040
7606642313401
oct132366516730
934310501186
1012144254424
11517212a105
12242b105020
1311b7001483
14832c4c9a8
154b1267919
hex2d3da9dd8

12144254424 has 64 divisors (see below), whose sum is σ = 31108492800. Its totient is φ = 3948937344.

The previous prime is 12144254399. The next prime is 12144254429. The reversal of 12144254424 is 42445244121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12144254429) 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, 328762 + ... + 363830.

It is an arithmetic number, because the mean of its divisors is an integer number (486070200).

Almost surely, 212144254424 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 12144254424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15554246400).

12144254424 is an abundant number, since it is smaller than the sum of its proper divisors (18964238376).

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

12144254424 is a wasteful number, since it uses less digits than its factorization.

12144254424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35432 (or 35428 counting only the distinct ones).

The product of its digits is 40960, while the sum is 33.

Adding to 12144254424 its reverse (42445244121), we get a palindrome (54589498545).

The spelling of 12144254424 in words is "twelve billion, one hundred forty-four million, two hundred fifty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 307 376 564 614 921 1128 1228 1842 2456 3684 7368 14429 28858 35069 43287 57716 70138 86574 105207 115432 140276 173148 210414 280552 346296 420828 841656 1648243 3296486 4944729 6592972 9889458 10766183 13185944 19778916 21532366 32298549 39557832 43064732 64597098 86129464 129194196 258388392 506010601 1012021202 1518031803 2024042404 3036063606 4048084808 6072127212 12144254424