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42435135300 = 22352413450011
BaseRepresentation
bin100111100001010101…
…001100011101000100
311001112101012020010210
4213201111030131010
51143401343312200
631254444115420
73031403461425
oct474125143504
9131471166123
1042435135300
1116aa6589258
128283535b70
13400372071c
1420a7b7564c
15118569d650
hex9e154c744

42435135300 has 72 divisors (see below), whose sum is σ = 125773637472. Its totient is φ = 11040032000.

The previous prime is 42435135299. The next prime is 42435135307. The reversal of 42435135300 is 353153424.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (42435135307) 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, 1712706 + ... + 1737305.

It is an arithmetic number, because the mean of its divisors is an integer number (1746856076).

Almost surely, 242435135300 is an apocalyptic number.

It is an amenable number.

42435135300 is an abundant number, since it is smaller than the sum of its proper divisors (83338502172).

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

42435135300 is a wasteful number, since it uses less digits than its factorization.

42435135300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3450069 (or 3450062 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 42435135300 its reverse (353153424), we get a palindrome (42788288724).

The spelling of 42435135300 in words is "forty-two billion, four hundred thirty-five million, one hundred thirty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 300 410 492 615 820 1025 1230 2050 2460 3075 4100 6150 12300 3450011 6900022 10350033 13800044 17250055 20700066 34500110 41400132 51750165 69000220 86250275 103500330 141450451 172500550 207000660 258750825 282900902 345001100 424351353 517501650 565801804 707252255 848702706 1035003300 1414504510 1697405412 2121756765 2829009020 3536261275 4243513530 7072522550 8487027060 10608783825 14145045100 21217567650 42435135300