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31140541530 = 2345719793659
BaseRepresentation
bin11101000000000111…
…101111010001011010
32222101020102102020000
4131000013233101122
51002233434312110
622150013513430
72151456143550
oct350007572132
988336372200
1031140541530
111223002983a
126050aa2876
132c2376bc47
141715adbbd0
15c23d1c1c0
hex7401ef45a

31140541530 has 320 divisors, whose sum is σ = 102034944000. Its totient is φ = 6656038272.

The previous prime is 31140541519. The next prime is 31140541543. The reversal of 31140541530 is 3514504113.

It is a happy number.

31140541530 is a `hidden beast` number, since 3 + 114 + 0 + 541 + 5 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 31140541494 and 31140541503.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 8508841 + ... + 8512499.

It is an arithmetic number, because the mean of its divisors is an integer number (318859200).

Almost surely, 231140541530 is an apocalyptic number.

31140541530 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31140541530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51017472000).

31140541530 is an abundant number, since it is smaller than the sum of its proper divisors (70894402470).

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

31140541530 is a wasteful number, since it uses less digits than its factorization.

31140541530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3783 (or 3774 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 31140541530 in words is "thirty-one billion, one hundred forty million, five hundred forty-one thousand, five hundred thirty".