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14050305144 = 2333109359513
BaseRepresentation
bin11010001010111011…
…01010010001111000
31100021012010110021000
431011131222101320
5212233334231034
610242110445000
71005115423521
oct150535522170
940235113230
1014050305144
115a60038237
122881503760
13142bb73135
1497404d848
1557376d599
hex34576a478

14050305144 has 64 divisors (see below), whose sum is σ = 39064989600. Its totient is φ = 4679071488.

The previous prime is 14050305121. The next prime is 14050305221. The reversal of 14050305144 is 44150305041.

It is a happy number.

14050305144 is a `hidden beast` number, since 14 + 0 + 503 + 0 + 5 + 144 = 666.

14050305144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×140503051442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 206332 + ... + 265844.

Almost surely, 214050305144 is an apocalyptic number.

It is an amenable number.

14050305144 is an abundant number, since it is smaller than the sum of its proper divisors (25014684456).

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

14050305144 is a wasteful number, since it uses less digits than its factorization.

14050305144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60621 (or 60611 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 14050305144 in words is "fourteen billion, fifty million, three hundred five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1093 2186 3279 4372 6558 8744 9837 13116 19674 26232 29511 39348 59022 59513 78696 118044 119026 178539 236088 238052 357078 476104 535617 714156 1071234 1428312 1606851 2142468 3213702 4284936 6427404 12854808 65047709 130095418 195143127 260190836 390286254 520381672 585429381 780572508 1170858762 1561145016 1756288143 2341717524 3512576286 4683435048 7025152572 14050305144