Search a number
-
+
30313200412044 = 22351137167463991
BaseRepresentation
bin1101110010001110101111…
…00010101110010110001100
310222022220200001112012100000
412321013113202232112030
512433122413301141134
6144245405251004300
76246025236101064
oct671072742562614
9128286601465300
1030313200412044
1197278354072a0
123496a99599690
1313bb6a400c554
1476b2497063a4
153787b12c5e99
hex1b91d78ae58c

30313200412044 has 576 divisors, whose sum is σ = 89846921428992. Its totient is φ = 8855901331200.

The previous prime is 30313200412043. The next prime is 30313200412069. The reversal of 30313200412044 is 44021400231303.

30313200412044 is a `hidden beast` number, since 3 + 0 + 3 + 1 + 3 + 200 + 412 + 0 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 30313200411999 and 30313200412017.

It is not an unprimeable number, because it can be changed into a prime (30313200412043) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30588496389 + ... + 30588497379.

It is an arithmetic number, because the mean of its divisors is an integer number (155984238592).

Almost surely, 230313200412044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30313200412044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44923460714496).

30313200412044 is an abundant number, since it is smaller than the sum of its proper divisors (59533721016948).

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

30313200412044 is a wasteful number, since it uses less digits than its factorization.

30313200412044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 30313200412044 its reverse (44021400231303), we get a palindrome (74334600643347).

The spelling of 30313200412044 in words is "thirty trillion, three hundred thirteen billion, two hundred million, four hundred twelve thousand, forty-four".