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30142036125 = 3253377011033
BaseRepresentation
bin11100000100100110…
…101111100010011101
32212210122120002022100
4130010212233202131
5443212330124000
621502544235313
72114643036225
oct340446574235
985718502270
1030142036125
1111868436963
125a1260bb39
132ac4936146
14165d25d085
15bb6333a00
hex7049af89d

30142036125 has 96 divisors (see below), whose sum is σ = 55938291552. Its totient is φ = 15603840000.

The previous prime is 30142036123. The next prime is 30142036147. The reversal of 30142036125 is 52163024103.

30142036125 is a `hidden beast` number, since 3 + 0 + 1 + 42 + 0 + 3 + 612 + 5 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 2125302201 + 28016733924 = 46101^2 + 167382^2 .

It is not a de Polignac number, because 30142036125 - 21 = 30142036123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30142036123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29178609 + ... + 29179641.

It is an arithmetic number, because the mean of its divisors is an integer number (582690537).

Almost surely, 230142036125 is an apocalyptic number.

It is an amenable number.

30142036125 is a deficient number, since it is larger than the sum of its proper divisors (25796255427).

30142036125 is a wasteful number, since it uses less digits than its factorization.

30142036125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 30142036125 in words is "thirty billion, one hundred forty-two million, thirty-six thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 37 45 75 111 125 185 225 333 375 555 701 925 1033 1125 1665 2103 2775 3099 3505 4625 5165 6309 8325 9297 10515 13875 15495 17525 25825 25937 31545 38221 41625 46485 52575 77475 77811 87625 114663 129125 129685 157725 191105 232425 233433 262875 343989 387375 389055 573315 648425 724133 788625 955525 1162125 1167165 1719945 1945275 2172399 2866575 3242125 3620665 4777625 5835825 6517197 8599725 9726375 10861995 14332875 18103325 26792921 29179125 32585985 42998625 54309975 80378763 90516625 133964605 162929925 241136289 271549875 401893815 669823025 814649625 1205681445 2009469075 3349115125 6028407225 10047345375 30142036125