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30020314432 = 26736619721
BaseRepresentation
bin11011111101010110…
…011010010101000000
32212111011111222112111
4123331112122111000
5442440200030212
621442515305104
72111634314413
oct337526322500
985434458474
1030020314432
1111805759619
1259998ab194
132aa5658684
14164b015b7a
15baa7dcea7
hex6fd59a540

30020314432 has 56 divisors (see below), whose sum is σ = 60485189672. Its totient is φ = 14780620800.

The previous prime is 30020314343. The next prime is 30020314439. The reversal of 30020314432 is 23441302003.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2136658176 + 27883656256 = 46224^2 + 166984^2 .

It is a super-2 number, since 2×300203144322 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30020314439) 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, 3083332 + ... + 3093052.

Almost surely, 230020314432 is an apocalyptic number.

30020314432 is a gapful number since it is divisible by the number (32) 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 30020314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30242594836).

30020314432 is an abundant number, since it is smaller than the sum of its proper divisors (30464875240).

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

30020314432 is an equidigital number, since it uses as much as digits as its factorization.

30020314432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10467 (or 10457 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 30020314432 its reverse (23441302003), we get a palindrome (53461616435).

The spelling of 30020314432 in words is "thirty billion, twenty million, three hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 73 146 292 584 661 1168 1322 2336 2644 4672 5288 9721 10576 19442 21152 38884 42304 48253 77768 96506 155536 193012 311072 386024 622144 709633 772048 1419266 1544096 2838532 3088192 5677064 6425581 11354128 12851162 22708256 25702324 45416512 51404648 102809296 205618592 411237184 469067413 938134826 1876269652 3752539304 7505078608 15010157216 30020314432