Search a number
-
+
14138736030 = 2335167313567
BaseRepresentation
bin11010010101011101…
…11111110110011110
31100111100112012122000
431022232333312132
5212424004023110
610254550103130
71010241162516
oct151256776636
940440465560
1014138736030
115aa5a47711
1228a704aaa6
131444295ac3
14981aac846
1557b3da1c0
hex34abbfd9e

14138736030 has 64 divisors (see below), whose sum is σ = 37929185280. Its totient is φ = 3747740832.

The previous prime is 14138735999. The next prime is 14138736041. The reversal of 14138736030 is 3063783141.

14138736030 is a `hidden beast` number, since 1 + 41 + 3 + 8 + 7 + 3 + 603 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111694 + ... + 201873.

It is an arithmetic number, because the mean of its divisors is an integer number (592643520).

Almost surely, 214138736030 is an apocalyptic number.

14138736030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14138736030 is an abundant number, since it is smaller than the sum of its proper divisors (23790449250).

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

14138736030 is a wasteful number, since it uses less digits than its factorization.

14138736030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313750 (or 313744 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 14138736030 in words is "fourteen billion, one hundred thirty-eight million, seven hundred thirty-six thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 167 270 334 501 835 1002 1503 1670 2505 3006 4509 5010 7515 9018 15030 22545 45090 313567 627134 940701 1567835 1881402 2822103 3135670 4703505 5644206 8466309 9407010 14110515 16932618 28221030 42331545 52365689 84663090 104731378 157097067 261828445 314194134 471291201 523656890 785485335 942582402 1413873603 1570970670 2356456005 2827747206 4712912010 7069368015 14138736030