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144113016430336 = 281775659437677
BaseRepresentation
bin100000110001000111101101…
…001001101101111100000000
3200220021001212220021202102111
4200301013231021231330000
5122342121424201232321
61230300334503225104
742232551615066202
oct4061075511557400
9626231786252374
10144113016430336
1141a11a94835758
12141b6099748194
136254a50920c45
142783170292772
15119da9c2cb5e1
hex8311ed26df00

144113016430336 has 72 divisors (see below), whose sum is σ = 304589171381040. Its totient is φ = 67816838774784.

The previous prime is 144113016430283. The next prime is 144113016430351. The reversal of 144113016430336 is 633034610311441.

It is a congruent number.

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, 329049130 + ... + 329486806.

It is an arithmetic number, because the mean of its divisors is an integer number (4230405158070).

Almost surely, 2144113016430336 is an apocalyptic number.

144113016430336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

144113016430336 is an abundant number, since it is smaller than the sum of its proper divisors (160476154950704).

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

144113016430336 is an equidigital number, since it uses as much as digits as its factorization.

144113016430336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513369 (or 513355 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

Adding to 144113016430336 its reverse (633034610311441), we get a palindrome (777147626741777).

The spelling of 144113016430336 in words is "one hundred forty-four trillion, one hundred thirteen billion, sixteen million, four hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 1088 2176 4352 75659 151318 302636 437677 605272 875354 1210544 1286203 1750708 2421088 2572406 3501416 4842176 5144812 7002832 7440509 9684352 10289624 14005664 14881018 19368704 20579248 28011328 29762036 41158496 56022656 59524072 82316992 112045312 119048144 164633984 238096288 329267968 476192576 952385152 1904770304 33114204143 66228408286 132456816572 264913633144 529827266288 562941470431 1059654532576 1125882940862 2119309065152 2251765881724 4238618130304 4503531763448 8477236260608 9007063526896 18014127053792 36028254107584 72056508215168 144113016430336