Search a number
-
+
30139982898144 = 2537193049774217
BaseRepresentation
bin1101101101001100000101…
…11110010110001111100000
310221201100120020012202220020
412312212002332112033200
512422303141110220034
6144034041134313440
76230353605366660
oct666460276261740
9127640506182806
1030139982898144
119670327664329
1234693b7358880
1313a825a5c3cb2
14762ad66061a0
1537402426d249
hex1b6982f963e0

30139982898144 has 192 divisors, whose sum is σ = 95210232768000. Its totient is φ = 8155504631808.

The previous prime is 30139982898131. The next prime is 30139982898187. The reversal of 30139982898144 is 44189828993103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38542524 + ... + 39316740.

It is an arithmetic number, because the mean of its divisors is an integer number (495886629000).

Almost surely, 230139982898144 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 30139982898144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47605116384000).

30139982898144 is an abundant number, since it is smaller than the sum of its proper divisors (65070249869856).

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

30139982898144 is a wasteful number, since it uses less digits than its factorization.

30139982898144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777305 (or 777297 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 69.

The spelling of 30139982898144 in words is "thirty trillion, one hundred thirty-nine billion, nine hundred eighty-two million, eight hundred ninety-eight thousand, one hundred forty-four".