Search a number
-
+
30320929930032 = 24357331733433
BaseRepresentation
bin1101110010011101001000…
…10000011111101100110000
310222100122121201222101200000
412321032210100133230300
512433234231030230112
6144253124245230000
76246420623652000
oct671164420375460
9128318551871600
1030320929930032
119730041531595
123498496102300
1313bc3364bb331
1476b7800c2000
15378ab4b937dc
hex1b93a441fb30

30320929930032 has 480 divisors, whose sum is σ = 105933686476800. Its totient is φ = 8383655831040.

The previous prime is 30320929930003. The next prime is 30320929930037. The reversal of 30320929930032 is 23003992902303.

It is a happy number.

30320929930032 is a `hidden beast` number, since 3 + 0 + 3 + 20 + 9 + 299 + 300 + 32 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 30320929930032.

It is not an unprimeable number, because it can be changed into a prime (30320929930037) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40974388 + ... + 41707820.

It is an arithmetic number, because the mean of its divisors is an integer number (220695180160).

Almost surely, 230320929930032 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 30320929930032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52966843238400).

30320929930032 is an abundant number, since it is smaller than the sum of its proper divisors (75612756546768).

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

30320929930032 is an equidigital number, since it uses as much as digits as its factorization.

30320929930032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733508 (or 733476 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 45.

The spelling of 30320929930032 in words is "thirty trillion, three hundred twenty billion, nine hundred twenty-nine million, nine hundred thirty thousand, thirty-two".