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14450060232 = 2333199379887
BaseRepresentation
bin11010111010100101…
…00110101111001000
31101022001100010011000
431131102212233020
5214043203411412
610345510535000
71021041325326
oct153522465710
941261303130
1014450060232
116145756143
122973367460
13149392a0ca
149b118cd16
155988d44dc
hex35d4a6bc8

14450060232 has 128 divisors (see below), whose sum is σ = 40492800000. Its totient is φ = 4774448448.

The previous prime is 14450060189. The next prime is 14450060237. The reversal of 14450060232 is 23206005441.

14450060232 is a `hidden beast` number, since 1 + 4 + 4 + 50 + 0 + 602 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14450060196 and 14450060205.

It is not an unprimeable number, because it can be changed into a prime (14450060237) 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, 16290493 + ... + 16291379.

It is an arithmetic number, because the mean of its divisors is an integer number (316350000).

Almost surely, 214450060232 is an apocalyptic number.

14450060232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14450060232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20246400000).

14450060232 is an abundant number, since it is smaller than the sum of its proper divisors (26042739768).

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

14450060232 is a wasteful number, since it uses less digits than its factorization.

14450060232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 14450060232 its reverse (23206005441), we get a palindrome (37656065673).

The spelling of 14450060232 in words is "fourteen billion, four hundred fifty million, sixty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 199 216 379 398 597 758 796 887 1137 1194 1516 1592 1774 1791 2274 2388 2661 3032 3411 3548 3582 4548 4776 5322 5373 6822 7096 7164 7983 9096 10233 10644 10746 13644 14328 15966 20466 21288 21492 23949 27288 31932 40932 42984 47898 63864 75421 81864 95796 150842 176513 191592 226263 301684 336173 353026 452526 529539 603368 672346 678789 706052 905052 1008519 1059078 1344692 1357578 1412104 1588617 1810104 2017038 2036367 2118156 2689384 2715156 3025557 3177234 4034076 4072734 4236312 4765851 5430312 6051114 6354468 8068152 8145468 9076671 9531702 12102228 12708936 16290936 18153342 19063404 24204456 36306684 38126808 66898427 72613368 133796854 200695281 267593708 401390562 535187416 602085843 802781124 1204171686 1605562248 1806257529 2408343372 3612515058 4816686744 7225030116 14450060232