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30142131400 = 2352374394727
BaseRepresentation
bin11100000100100111…
…000110110011001000
32212210122201221000001
4130010213012303020
5443212341201100
621502550252344
72114643614053
oct340447066310
985718657001
1030142131400
11118684a14a7
125a126570b4
132ac496a614
14165d285a9a
15bb6351d6a
hex7049c6cc8

30142131400 has 96 divisors (see below), whose sum is σ = 73649125440. Its totient is φ = 11458056960.

The previous prime is 30142131391. The next prime is 30142131407. The reversal of 30142131400 is 413124103.

It is not an unprimeable number, because it can be changed into a prime (30142131407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270837 + ... + 365563.

It is an arithmetic number, because the mean of its divisors is an integer number (767178390).

Almost surely, 230142131400 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 30142131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36824562720).

30142131400 is an abundant number, since it is smaller than the sum of its proper divisors (43506994040).

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

30142131400 is a wasteful number, since it uses less digits than its factorization.

30142131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94823 (or 94814 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 30142131400 its reverse (413124103), we get a palindrome (30555255503).

The spelling of 30142131400 in words is "thirty billion, one hundred forty-two million, one hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 43 50 74 86 100 148 172 185 200 215 296 344 370 430 740 860 925 1075 1480 1591 1720 1850 2150 3182 3700 4300 6364 7400 7955 8600 12728 15910 31820 39775 63640 79550 94727 159100 189454 318200 378908 473635 757816 947270 1894540 2368175 3504899 3789080 4073261 4736350 7009798 8146522 9472700 14019596 16293044 17524495 18945400 20366305 28039192 32586088 35048990 40732610 70097980 81465220 87622475 101831525 140195960 150710657 162930440 175244950 203663050 301421314 350489900 407326100 602842628 700979800 753553285 814652200 1205685256 1507106570 3014213140 3767766425 6028426280 7535532850 15071065700 30142131400