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14112311330224 = 2423317445127179
BaseRepresentation
bin1100110101011100011101…
…0011011100010110110000
31211222010100020111200010201
43031113013103130112300
53322204003200031344
650003034544404544
72654403142042102
oct315270723342660
954863306450121
1014112311330224
114550aa7925368
1216bb088616754
137b4a29262173
1436b07a5cd572
15197160da44d4
hexcd5c74dc5b0

14112311330224 has 80 divisors (see below), whose sum is σ = 28628900133120. Its totient is φ = 6726315833600.

The previous prime is 14112311330177. The next prime is 14112311330237. The reversal of 14112311330224 is 42203311321141.

It is a junction number, because it is equal to n+sod(n) for n = 14112311330192 and 14112311330201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 519222267 + ... + 519249445.

It is an arithmetic number, because the mean of its divisors is an integer number (357861251664).

Almost surely, 214112311330224 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 14112311330224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14314450066560).

14112311330224 is an abundant number, since it is smaller than the sum of its proper divisors (14516588802896).

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

14112311330224 is a wasteful number, since it uses less digits than its factorization.

14112311330224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31978 (or 31972 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 14112311330224 its reverse (42203311321141), we get a palindrome (56315622651365).

The spelling of 14112311330224 in words is "fourteen trillion, one hundred twelve billion, three hundred eleven million, three hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 23 46 92 184 317 368 634 1268 2536 4451 5072 7291 8902 14582 17804 27179 29164 35608 54358 58328 71216 102373 108716 116656 204746 217432 409492 434864 625117 818984 1250234 1410967 1637968 2500468 2821934 5000936 5643868 8615743 10001872 11287736 17231486 22575472 32452241 34462972 64904482 68925944 120973729 129808964 137851888 198162089 241947458 259617928 396324178 483894916 519235856 792648356 967789832 1585296712 1935579664 2782395767 3170593424 5564791534 11129583068 22259166136 38348672093 44518332272 76697344186 153394688372 306789376744 613578753488 882019458139 1764038916278 3528077832556 7056155665112 14112311330224