Search a number
-
+
35045014140 = 223251711452619
BaseRepresentation
bin100000101000110110…
…000111101001111100
310100110100101011201200
4200220312013221330
51033233010423030
624033252135500
72350306463613
oct405066075174
9110410334650
1035045014140
1113953aa6904
126960607590
1333c6654876
1419a64a687a
15da19c2d60
hex828d87a7c

35045014140 has 72 divisors (see below), whose sum is σ = 112556349360. Its totient is φ = 8795610624.

The previous prime is 35045014139. The next prime is 35045014159. The reversal of 35045014140 is 4141054053.

It is a happy number.

35045014140 is a `hidden beast` number, since 3 + 504 + 5 + 0 + 14 + 140 = 666.

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 23 ways as a sum of consecutive naturals, for example, 5723250 + ... + 5729369.

It is an arithmetic number, because the mean of its divisors is an integer number (1563282630).

Almost surely, 235045014140 is an apocalyptic number.

35045014140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35045014140 is an abundant number, since it is smaller than the sum of its proper divisors (77511335220).

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

35045014140 is a wasteful number, since it uses less digits than its factorization.

35045014140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11452651 (or 11452646 counting only the distinct ones).

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

Adding to 35045014140 its reverse (4141054053), we get a palindrome (39186068193).

The spelling of 35045014140 in words is "thirty-five billion, forty-five million, fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 11452619 22905238 34357857 45810476 57263095 68715714 103073571 114526190 137431428 171789285 194694523 206147142 229052380 343578570 389389046 412294284 515367855 584083569 687157140 778778092 973472615 1030735710 1168167138 1752250707 1946945230 2061471420 2336334276 2920417845 3504501414 3893890460 5840835690 7009002828 8761253535 11681671380 17522507070 35045014140