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1000014416 = 24397157433
BaseRepresentation
bin111011100110110…
…000001001010000
32120200200222212222
4323212300021100
54022000430131
6243121440212
733531660632
oct7346601120
92520628788
101000014416
114735336a5
1223aaa0068
1312c24390b
1496b52a52
155cbd587b
hex3b9b0250

1000014416 has 20 divisors (see below), whose sum is σ = 1942420692. Its totient is φ = 498744576.

The previous prime is 1000014397. The next prime is 1000014437. The reversal of 1000014416 is 6144100001.

It can be written as a sum of positive squares in 2 ways, for example, as 756030016 + 243984400 = 27496^2 + 15620^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1000014394 and 1000014403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 72365 + ... + 85068.

Almost surely, 21000014416 is an apocalyptic number.

1000014416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1000014416 is a deficient number, since it is larger than the sum of its proper divisors (942406276).

1000014416 is a wasteful number, since it uses less digits than its factorization.

1000014416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157838 (or 157832 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1000014416 is about 31623.0045378361. The cubic root of 1000014416 is about 1000.0048053102.

Adding to 1000014416 its reverse (6144100001), we get a palindrome (7144114417).

The spelling of 1000014416 in words is "one billion, fourteen thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 397 794 1588 3176 6352 157433 314866 629732 1259464 2518928 62500901 125001802 250003604 500007208 1000014416