Search a number
-
+
141734570560128 = 2737713291731109
BaseRepresentation
bin100000001110100000100110…
…101110110000101010000000
3200120211200200220202210000000
4200032200212232300222000
5122034134400030411003
61221235543550000000
741565661533546510
oct4016404656605200
9616750626683000
10141734570560128
1141185326083287
1213a91138aa6000
1361116883bb4c0
1426dddc00b9840
15115bc94d0e1a3
hex80e826bb0a80

141734570560128 has 2048 divisors, whose sum is σ = 542782114560000. Its totient is φ = 35850583867392.

The previous prime is 141734570560117. The next prime is 141734570560199. The reversal of 141734570560128 is 821065075437141.

141734570560128 is a `hidden beast` number, since 1 + 4 + 1 + 7 + 3 + 4 + 5 + 7 + 0 + 5 + 601 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 255 ways as a sum of consecutive naturals, for example, 127803940438 + ... + 127803941546.

It is an arithmetic number, because the mean of its divisors is an integer number (265030329375).

Almost surely, 2141734570560128 is an apocalyptic number.

141734570560128 is a gapful number since it is divisible by the number (18) 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 141734570560128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271391057280000).

141734570560128 is an abundant number, since it is smaller than the sum of its proper divisors (401047543999872).

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

141734570560128 is a wasteful number, since it uses less digits than its factorization.

141734570560128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 141734570560128 in words is "one hundred forty-one trillion, seven hundred thirty-four billion, five hundred seventy million, five hundred sixty thousand, one hundred twenty-eight".