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16442917440 = 263517128039
BaseRepresentation
bin11110101000001001…
…10000001001000000
31120102221020202022020
433110010300021000
5232133341324230
611315340441440
71121320330545
oct172404601100
946387222266
1016442917440
116a78664274
12322a849280
131720773261
14b1db08bcc
15663835810
hex3d4130240

16442917440 has 56 divisors (see below), whose sum is σ = 52206265920. Its totient is φ = 4384777728.

The previous prime is 16442917399. The next prime is 16442917451. The reversal of 16442917440 is 4471924461.

It is a happy number.

It is a super-3 number, since 3×164429174403 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16442917392 and 16442917401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8563060 + ... + 8564979.

Almost surely, 216442917440 is an apocalyptic number.

16442917440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16442917440 is an abundant number, since it is smaller than the sum of its proper divisors (35763348480).

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

16442917440 is a wasteful number, since it uses less digits than its factorization.

16442917440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17128059 (or 17128049 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 16442917440 in words is "sixteen billion, four hundred forty-two million, nine hundred seventeen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 17128039 34256078 51384117 68512156 85640195 102768234 137024312 171280390 205536468 256920585 274048624 342560780 411072936 513841170 548097248 685121560 822145872 1027682340 1096194496 1370243120 1644291744 2055364680 2740486240 3288583488 4110729360 5480972480 8221458720 16442917440