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1135402535140 = 225173339419221
BaseRepresentation
bin10000100001011011010…
…000111100100011100100
311000112200011011220001221
4100201123100330203210
5122100301022111030
62225332520430124
7145013222211466
oct20413320744344
94015604156057
101135402535140
113a85811496a5
12164070018344
13830b651a413
143cd4d238136
151e803a45e7a
hex1085b43c8e4

1135402535140 has 24 divisors (see below), whose sum is σ = 2524600931832. Its totient is φ = 427445660160.

The previous prime is 1135402535101. The next prime is 1135402535143. The reversal of 1135402535140 is 415352045311.

It can be written as a sum of positive squares in 4 ways, for example, as 77948172864 + 1057454362276 = 279192^2 + 1028326^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 1135402535096 and 1135402535105.

It is not an unprimeable number, because it can be changed into a prime (1135402535143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1669709271 + ... + 1669709950.

It is an arithmetic number, because the mean of its divisors is an integer number (105191705493).

Almost surely, 21135402535140 is an apocalyptic number.

1135402535140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1135402535140 is an abundant number, since it is smaller than the sum of its proper divisors (1389198396692).

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

1135402535140 is a wasteful number, since it uses less digits than its factorization.

1135402535140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3339419247 (or 3339419245 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The spelling of 1135402535140 in words is "one trillion, one hundred thirty-five billion, four hundred two million, five hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 3339419221 6678838442 13357676884 16697096105 33394192210 56770126757 66788384420 113540253514 227080507028 283850633785 567701267570 1135402535140