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14032023330304 = 29737541195593
BaseRepresentation
bin1100110000110001010111…
…0001000001111000000000
31211200110002211110200112001
43030030111301001320000
53314400040433032204
645502120022113344
72645531422230430
oct314142561017000
954613084420461
1014032023330304
11451aa473a0721
1216a760027b854
137aa2a25715c5
143672214c62c0
151950124974a4
hexcc315c41e00

14032023330304 has 160 divisors (see below), whose sum is σ = 32968867732416. Its totient is φ = 5840345825280.

The previous prime is 14032023330287. The next prime is 14032023330337. The reversal of 14032023330304 is 40303332023041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71643132 + ... + 71838724.

Almost surely, 214032023330304 is an apocalyptic number.

14032023330304 is a gapful number since it is divisible by the number (14) 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 14032023330304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16484433866208).

14032023330304 is an abundant number, since it is smaller than the sum of its proper divisors (18936844402112).

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

14032023330304 is an equidigital number, since it uses as much as digits as its factorization.

14032023330304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196196 (or 196180 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 14032023330304 its reverse (40303332023041), we get a palindrome (54335355353345).

The spelling of 14032023330304 in words is "fourteen trillion, thirty-two billion, twenty-three million, three hundred thirty thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 128 148 224 256 259 296 448 512 518 541 592 896 1036 1082 1184 1792 2072 2164 2368 3584 3787 4144 4328 4736 7574 8288 8656 9472 15148 16576 17312 18944 20017 30296 33152 34624 40034 60592 66304 69248 80068 121184 132608 138496 140119 160136 195593 242368 276992 280238 320272 391186 484736 560476 640544 782372 969472 1120952 1281088 1369151 1564744 1938944 2241904 2562176 2738302 3129488 4483808 5124352 5476604 6258976 7236941 8967616 10248704 10953208 12517952 14473882 17935232 21906416 25035904 28947764 35870464 43812832 50071808 50658587 57895528 71740928 87625664 100143616 101317174 105815813 115791056 175251328 202634348 211631626 231582112 350502656 405268696 423263252 463164224 701005312 740710691 810537392 846526504 926328448 1481421382 1621074784 1693053008 1852656896 2962842764 3242149568 3386106016 3705313792 3915185081 5925685528 6484299136 6772212032 7830370162 11851371056 12968598272 13544424064 15660740324 23702742112 25937196544 27088848128 27406295567 31321480648 47405484224 54177696256 54812591134 62642961296 94810968448 109625182268 125285922592 189621936896 219250364536 250571845184 379243873792 438500729072 501143690368 877001458144 1002287380736 1754002916288 2004574761472 3508005832576 7016011665152 14032023330304