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141315281640 = 233351323479311
BaseRepresentation
bin1000001110011100001…
…1000001001011101000
3111111202111122002222000
42003213003001023220
54303403203003030
6144530324531000
713131632034441
oct2034703011350
9444674562860
10141315281640
1154a27879765
122347a250a60
131043121a860
146ba81aa2c8
153a2142e860
hex20e70c12e8

141315281640 has 512 divisors, whose sum is σ = 540662169600. Its totient is φ = 32561464320.

The previous prime is 141315281629. The next prime is 141315281671. The reversal of 141315281640 is 46182513141.

141315281640 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 1 + 5 + 2 + 8 + 1 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 141315281595 and 141315281604.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15172585 + ... + 15181895.

It is an arithmetic number, because the mean of its divisors is an integer number (1055980800).

Almost surely, 2141315281640 is an apocalyptic number.

141315281640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141315281640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270331084800).

141315281640 is an abundant number, since it is smaller than the sum of its proper divisors (399346887960).

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

141315281640 is a wasteful number, since it uses less digits than its factorization.

141315281640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9414 (or 9404 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 141315281640 its reverse (46182513141), we get a palindrome (187497794781).

The spelling of 141315281640 in words is "one hundred forty-one billion, three hundred fifteen million, two hundred eighty-one thousand, six hundred forty".