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30269940000 = 25354613823
BaseRepresentation
bin11100001100001110…
…101010000100100000
32220010120020021102220
4130030032222010200
5443443101040000
621523353511040
72121055146636
oct341416520440
986116207386
1030269940000
1111923656a43
125a49412480
132b15299801
141672235356
15bc269b1a0
hex70c3aa120

30269940000 has 240 divisors, whose sum is σ = 99574276032. Its totient is φ = 8049024000.

The previous prime is 30269939977. The next prime is 30269940007. The reversal of 30269940000 is 4996203.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (30269940007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36779589 + ... + 36780411.

Almost surely, 230269940000 is an apocalyptic number.

30269940000 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 30269940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49787138016).

30269940000 is an abundant number, since it is smaller than the sum of its proper divisors (69304336032).

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

30269940000 is an equidigital number, since it uses as much as digits as its factorization.

30269940000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The spelling of 30269940000 in words is "thirty billion, two hundred sixty-nine million, nine hundred forty thousand".