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141736043040 = 25352997104971
BaseRepresentation
bin1000010000000000100…
…0000110001000100000
3111112211211101000002120
42010000020012020200
54310233411334130
6145040155144240
713145231326164
oct2040010061040
9445754330076
10141736043040
1155123334a59
1223577145080
131049a44acb7
146c08016ca4
153a48344910
hex2100206220

141736043040 has 192 divisors, whose sum is σ = 466629932160. Its totient is φ = 36116398080.

The previous prime is 141736043017. The next prime is 141736043089. The reversal of 141736043040 is 40340637141.

It is a junction number, because it is equal to n+sod(n) for n = 141736042992 and 141736043010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1297755 + ... + 1402725.

It is an arithmetic number, because the mean of its divisors is an integer number (2430364230).

Almost surely, 2141736043040 is an apocalyptic number.

141736043040 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 141736043040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233314966080).

141736043040 is an abundant number, since it is smaller than the sum of its proper divisors (324893889120).

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

141736043040 is a wasteful number, since it uses less digits than its factorization.

141736043040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105115 (or 105107 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The spelling of 141736043040 in words is "one hundred forty-one billion, seven hundred thirty-six million, forty-three thousand, forty".