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30014140104 = 233213101317489
BaseRepresentation
bin11011111100111110…
…110110111011001000
32212110201220021221200
4123330332312323020
5442432104440404
621442135104200
72111530660434
oct337476667310
985421807850
1030014140104
1111802221773
125997812060
132aa42a6220
14164a2899c4
15ba9ebd839
hex6fcfb6ec8

30014140104 has 96 divisors (see below), whose sum is σ = 88408265400. Its totient is φ = 9143654400.

The previous prime is 30014140103. The next prime is 30014140109. The reversal of 30014140104 is 40104141003.

It can be written as a sum of positive squares in 4 ways, for example, as 27433296900 + 2580843204 = 165630^2 + 50802^2 .

It is a super-2 number, since 2×300141401042 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (30014140103) 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 23 ways as a sum of consecutive naturals, for example, 64209 + ... + 253280.

Almost surely, 230014140104 is an apocalyptic number.

It is an amenable number.

30014140104 is an abundant number, since it is smaller than the sum of its proper divisors (58394125296).

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

30014140104 is a wasteful number, since it uses less digits than its factorization.

30014140104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317615 (or 317608 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 30014140104 its reverse (40104141003), we get a palindrome (70118281107).

The spelling of 30014140104 in words is "thirty billion, fourteen million, one hundred forty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 101 104 117 156 202 234 303 312 404 468 606 808 909 936 1212 1313 1818 2424 2626 3636 3939 5252 7272 7878 10504 11817 15756 23634 31512 47268 94536 317489 634978 952467 1269956 1904934 2539912 2857401 3809868 4127357 5714802 7619736 8254714 11429604 12382071 16509428 22859208 24764142 32066389 33018856 37146213 49528284 64132778 74292426 96199167 99056568 128265556 148584852 192398334 256531112 288597501 297169704 384796668 416863057 577195002 769593336 833726114 1154390004 1250589171 1667452228 2308780008 2501178342 3334904456 3751767513 5002356684 7503535026 10004713368 15007070052 30014140104