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13001450030440 = 235655349601137
BaseRepresentation
bin1011110100110010001011…
…0011111000010101101000
31201000221000101222201002121
42331030202303320111220
53201003432201433230
643352441135441024
72511216023556364
oct275144263702550
951027011881077
1013001450030440
11416297a660063
12155b927386174
137340542030b1
1432d3b883c2a4
151782e6b1077a
hexbd322cf8568

13001450030440 has 32 divisors (see below), whose sum is σ = 29257727260680. Its totient is φ = 5199786289152.

The previous prime is 13001450030411. The next prime is 13001450030447. The reversal of 13001450030440 is 4403005410031.

13001450030440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8857611678276 + 4143838352164 = 2976174^2 + 2035642^2 .

It is a super-3 number, since 3×130014500304403 (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13001450030447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24538449 + ... + 25062688.

Almost surely, 213001450030440 is an apocalyptic number.

13001450030440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13001450030440 is an abundant number, since it is smaller than the sum of its proper divisors (16256277230240).

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

13001450030440 is a wasteful number, since it uses less digits than its factorization.

13001450030440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49607701 (or 49607697 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 13001450030440 its reverse (4403005410031), we get a palindrome (17404455440471).

The spelling of 13001450030440 in words is "thirteen trillion, one billion, four hundred fifty million, thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 6553 13106 26212 32765 52424 65530 131060 262120 49601137 99202274 198404548 248005685 396809096 496011370 992022740 1984045480 325036250761 650072501522 1300145003044 1625181253805 2600290006088 3250362507610 6500725015220 13001450030440