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30145900040 = 2354457169093
BaseRepresentation
bin11100000100110101…
…011110111000001000
32212210220211101121022
4130010311132320020
5443214322300130
621503203132012
72115020631254
oct340465367010
985726741538
1030145900040
111186a635983
125a13974008
132ac5689a99
14165d987264
15bb68487e5
hex704d5ee08

30145900040 has 32 divisors (see below), whose sum is σ = 67843894680. Its totient is φ = 12055583232.

The previous prime is 30145900033. The next prime is 30145900079. The reversal of 30145900040 is 4000954103.

It can be written as a sum of positive squares in 4 ways, for example, as 17360170564 + 12785729476 = 131758^2 + 113074^2 .

It is a junction number, because it is equal to n+sod(n) for n = 30145899982 and 30145900009.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93734 + ... + 262826.

Almost surely, 230145900040 is an apocalyptic number.

It is an amenable number.

30145900040 is an abundant number, since it is smaller than the sum of its proper divisors (37697994640).

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

30145900040 is a wasteful number, since it uses less digits than its factorization.

30145900040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173561 (or 173557 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The spelling of 30145900040 in words is "thirty billion, one hundred forty-five million, nine hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 4457 8914 17828 22285 35656 44570 89140 169093 178280 338186 676372 845465 1352744 1690930 3381860 6763720 753647501 1507295002 3014590004 3768237505 6029180008 7536475010 15072950020 30145900040