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1314406454424 = 233710333757171
BaseRepresentation
bin10011001000001000101…
…110101101010010011000
311122122201020122011110020
4103020020232231102120
5133013401023020144
62443455135550440
7163651134343260
oct23101056552230
94578636564406
101314406454424
114674891a4678
121928a808b420
1396c4299769b
1447890a267a0
15242cda94419
hex13208bad498

1314406454424 has 64 divisors (see below), whose sum is σ = 3755815415040. Its totient is φ = 375507861120.

The previous prime is 1314406454419. The next prime is 1314406454503. The reversal of 1314406454424 is 4244546044131.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1357359 + ... + 2114529.

It is an arithmetic number, because the mean of its divisors is an integer number (58684615860).

Almost surely, 21314406454424 is an apocalyptic number.

1314406454424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1314406454424 is an abundant number, since it is smaller than the sum of its proper divisors (2441408960616).

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

1314406454424 is a wasteful number, since it uses less digits than its factorization.

1314406454424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767520 (or 767516 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 42.

The spelling of 1314406454424 in words is "one trillion, three hundred fourteen billion, four hundred six million, four hundred fifty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 10333 20666 30999 41332 61998 72331 82664 123996 144662 216993 247992 289324 433986 578648 757171 867972 1514342 1735944 2271513 3028684 4543026 5300197 6057368 9086052 10600394 15900591 18172104 21200788 31801182 42401576 63602364 127204728 7823847943 15647695886 23471543829 31295391772 46943087658 54766935601 62590783544 93886175316 109533871202 164300806803 187772350632 219067742404 328601613606 438135484808 657203227212 1314406454424