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14414204411332 = 22112413541205133
BaseRepresentation
bin1101000111000001000110…
…0010001001110111000100
31220000222120200121011221221
43101300101202021313010
53342130242312130312
650353443305050124
73015251264636365
oct321602142116704
956028520534857
1014414204411332
114658036681500
12174969ba86944
1380733b3412bb
1437b918d17b6c
1519ee2e856207
hexd1c11889dc4

14414204411332 has 72 divisors (see below), whose sum is σ = 28410912124056. Its totient is φ = 6390272064000.

The previous prime is 14414204411297. The next prime is 14414204411359. The reversal of 14414204411332 is 23311440241441.

It can be written as a sum of positive squares in 4 ways, for example, as 22697230336 + 14391507180996 = 150656^2 + 3793614^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70165038 + ... + 70370170.

It is an arithmetic number, because the mean of its divisors is an integer number (394596001723).

Almost surely, 214414204411332 is an apocalyptic number.

It is an amenable number.

14414204411332 is a deficient number, since it is larger than the sum of its proper divisors (13996707712724).

14414204411332 is a wasteful number, since it uses less digits than its factorization.

14414204411332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208741 (or 208728 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

Adding to 14414204411332 its reverse (23311440241441), we get a palindrome (37725644652773).

The spelling of 14414204411332 in words is "fourteen trillion, four hundred fourteen billion, two hundred four million, four hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 4 11 22 41 44 82 121 164 242 451 484 902 1804 3541 4961 7082 9922 14164 19844 38951 77902 145181 155804 205133 290362 410266 428461 580724 820532 856922 1596991 1713844 2256463 3193982 4512926 6387964 8410453 9025852 16820906 17566901 24821093 33641812 35133802 49642186 70267604 92514983 99284372 185029966 370059932 726375953 1017664813 1452751906 2035329626 2905503812 4070659252 7990135483 15980270966 29781414073 31960541932 59562828146 87891490313 119125656292 175782980626 327595554803 351565961252 655191109606 1310382219212 3603551102833 7207102205666 14414204411332