Search a number
-
+
30299124280320 = 210355712892699
BaseRepresentation
bin1101110001110100100001…
…00010100010110000000000
310222021120100001210121200000
412320322100202202300000
512432410101303432240
6144235120414400000
76245016355000140
oct670722042426000
9128246301717600
1030299124280320
11972187183a185
12349420b500000
1313ba26c9c5c1c
1476a6b2092920
1537823a655430
hex1b8e908a2c00

30299124280320 has 1056 divisors, whose sum is σ = 124570135872000. Its totient is φ = 6917577375744.

The previous prime is 30299124280277. The next prime is 30299124280393. The reversal of 30299124280320 is 2308242199203.

30299124280320 is a `hidden beast` number, since 3 + 0 + 2 + 9 + 9 + 1 + 242 + 80 + 320 = 666.

30299124280320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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, 11226054331 + ... + 11226057029.

Almost surely, 230299124280320 is an apocalyptic number.

30299124280320 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 30299124280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62285067936000).

30299124280320 is an abundant number, since it is smaller than the sum of its proper divisors (94271011591680).

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

30299124280320 is a wasteful number, since it uses less digits than its factorization.

30299124280320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4035 (or 4005 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 30299124280320 in words is "thirty trillion, two hundred ninety-nine billion, one hundred twenty-four million, two hundred eighty thousand, three hundred twenty".