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30442140020 = 22541271136991
BaseRepresentation
bin11100010110011111…
…100011000101110100
32220120120020221110102
4130112133203011310
5444321141440040
621552424413232
72125245630545
oct342637430564
986516227412
1030442140020
1111a01881406
125a97017218
132b41b6c306
14168b05c4cc
15bd2863515
hex7167e3174

30442140020 has 48 divisors (see below), whose sum is σ = 65729857536. Its totient is φ = 11835936000.

The previous prime is 30442140011. The next prime is 30442140031. The reversal of 30442140020 is 2004124403.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 30442139974 and 30442140001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153725 + ... + 290715.

It is an arithmetic number, because the mean of its divisors is an integer number (1369372032).

Almost surely, 230442140020 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 30442140020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32864928768).

30442140020 is an abundant number, since it is smaller than the sum of its proper divisors (35287717516).

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

30442140020 is a wasteful number, since it uses less digits than its factorization.

30442140020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137312 (or 137310 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 30442140020 its reverse (2004124403), we get a palindrome (32446264423).

The spelling of 30442140020 in words is "thirty billion, four hundred forty-two million, one hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 271 410 542 820 1084 1355 2710 5420 11111 22222 44444 55555 111110 136991 222220 273982 547964 684955 1369910 2739820 5616631 11233262 22466524 28083155 37124561 56166310 74249122 112332620 148498244 185622805 371245610 742491220 1522107001 3044214002 6088428004 7610535005 15221070010 30442140020