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135030341448 = 233210917205701
BaseRepresentation
bin111110111000001101…
…1110111111101001000
3110220112111102001211100
41331300123313331020
54203020231411243
6142010532501400
712520114651602
oct1756033677510
9426474361740
10135030341448
11522a2120112
122220547a860
13c96c0c7932
14676d5c8172
1537a47b00d3
hex1f706f7f48

135030341448 has 48 divisors (see below), whose sum is σ = 369062307900. Its totient is φ = 44597174400.

The previous prime is 135030341441. The next prime is 135030341521. The reversal of 135030341448 is 844143030531.

135030341448 is a `hidden beast` number, since 1 + 3 + 503 + 0 + 3 + 4 + 144 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 127264854564 + 7765486884 = 356742^2 + 88122^2 .

It is a super-2 number, since 2×1350303414482 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (135030341441) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 8595003 + ... + 8610698.

Almost surely, 2135030341448 is an apocalyptic number.

135030341448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135030341448 is an abundant number, since it is smaller than the sum of its proper divisors (234031966452).

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

135030341448 is a wasteful number, since it uses less digits than its factorization.

135030341448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17205822 (or 17205815 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 135030341448 its reverse (844143030531), we get a palindrome (979173371979).

The spelling of 135030341448 in words is "one hundred thirty-five billion, thirty million, three hundred forty-one thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 109 218 327 436 654 872 981 1308 1962 2616 3924 7848 17205701 34411402 51617103 68822804 103234206 137645608 154851309 206468412 309702618 412936824 619405236 1238810472 1875421409 3750842818 5626264227 7501685636 11252528454 15003371272 16878792681 22505056908 33757585362 45010113816 67515170724 135030341448