Search a number
-
+
30316699440 = 2435519211389
BaseRepresentation
bin11100001111000001…
…000001111100110000
32220020211012220100000
4130033001001330300
5444042033340230
621532144030000
72122163456556
oct341701017460
986224186300
1030316699440
1111947a94005
125a61002300
132b21b8bc11
141678527bd6
15bc6835b60
hex70f041f30

30316699440 has 480 divisors, whose sum is σ = 111955334400. Its totient is φ = 7603061760.

The previous prime is 30316699433. The next prime is 30316699507. The reversal of 30316699440 is 4499661303.

30316699440 is a `hidden beast` number, since 30 + 31 + 66 + 99 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77934766 + ... + 77935154.

It is an arithmetic number, because the mean of its divisors is an integer number (233240280).

Almost surely, 230316699440 is an apocalyptic number.

30316699440 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 30316699440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55977667200).

30316699440 is an abundant number, since it is smaller than the sum of its proper divisors (81638634960).

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

30316699440 is a wasteful number, since it uses less digits than its factorization.

30316699440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 30316699440 in words is "thirty billion, three hundred sixteen million, six hundred ninety-nine thousand, four hundred forty".