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30442523124 = 223134119992381
BaseRepresentation
bin11100010110100001…
…000000100111110100
32220120120222101222110
4130112201000213310
5444321241214444
621552440531020
72125252114506
oct342641004764
986516871873
1030442523124
1111a02013222
125a97180a70
132b41c747c0
14168b11bd76
15bd28dbcb9
hex7168409f4

30442523124 has 96 divisors (see below), whose sum is σ = 78434496000. Its totient is φ = 9130060800.

The previous prime is 30442523113. The next prime is 30442523129. The reversal of 30442523124 is 42132524403.

It is a junction number, because it is equal to n+sod(n) for n = 30442523091 and 30442523100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30442523129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12784414 + ... + 12786794.

It is an arithmetic number, because the mean of its divisors is an integer number (817026000).

Almost surely, 230442523124 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 30442523124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39217248000).

30442523124 is an abundant number, since it is smaller than the sum of its proper divisors (47991972876).

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

30442523124 is a wasteful number, since it uses less digits than its factorization.

30442523124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4441 (or 4439 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The spelling of 30442523124 in words is "thirty billion, four hundred forty-two million, five hundred twenty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 41 52 78 82 123 156 164 246 492 533 1066 1599 1999 2132 2381 3198 3998 4762 5997 6396 7143 7996 9524 11994 14286 23988 25987 28572 30953 51974 61906 77961 81959 92859 97621 103948 123812 155922 163918 185718 195242 245877 292863 311844 327836 371436 390484 491754 585726 983508 1065467 1171452 1269073 2130934 2538146 3196401 3807219 4261868 4759619 5076292 6392802 7614438 9519238 12785604 14278857 15228876 19038476 28557714 57115428 61875047 123750094 185625141 195144379 247500188 371250282 390288758 585433137 742500564 780577516 1170866274 2341732548 2536876927 5073753854 7610630781 10147507708 15221261562 30442523124