Search a number
-
+
30155239699200 = 28335271141167331
BaseRepresentation
bin1101101101101000100000…
…10110011011001100000000
310221202210221111120120102000
412312310100112123030000
512423030412330333300
6144045043104424000
76231433644145350
oct666642026331400
9127683844516360
1030155239699200
119676846734820
123470354918000
1313a981c3c4225
14763742996b60
153746188abc00
hex1b6d1059b300

30155239699200 has 3456 divisors, whose sum is σ = 142498559508480. Its totient is φ = 6058229760000.

The previous prime is 30155239699183. The next prime is 30155239699201. The reversal of 30155239699200 is 299693255103.

It is a happy number.

30155239699200 is a `hidden beast` number, since 3 + 0 + 1 + 5 + 523 + 9 + 6 + 99 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (30155239699201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 91103443035 + ... + 91103443365.

It is an arithmetic number, because the mean of its divisors is an integer number (41232222080).

Almost surely, 230155239699200 is an apocalyptic number.

30155239699200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30155239699200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71249279754240).

30155239699200 is an abundant number, since it is smaller than the sum of its proper divisors (112343319809280).

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

30155239699200 is a wasteful number, since it uses less digits than its factorization.

30155239699200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 3936600, while the sum is 54.

The spelling of 30155239699200 in words is "thirty trillion, one hundred fifty-five billion, two hundred thirty-nine million, six hundred ninety-nine thousand, two hundred".