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141306340656 = 243131937833881
BaseRepresentation
bin1000001110011010000…
…0111010010100110000
3111111201212210212020110
42003212200322110300
54303343410400111
6144525405141320
713131463035435
oct2034640722460
9444655725213
10141306340656
1154a22822218
122347725a840
131042c40a030
146ba6d1db8c
153a207655a6
hex20e683a530

141306340656 has 320 divisors, whose sum is σ = 430227463680. Its totient is φ = 39584194560.

The previous prime is 141306340649. The next prime is 141306340717. The reversal of 141306340656 is 656043603141.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36407836 + ... + 36411716.

It is an arithmetic number, because the mean of its divisors is an integer number (1344460824).

Almost surely, 2141306340656 is an apocalyptic number.

141306340656 is a gapful number since it is divisible by the number (16) 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 141306340656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215113731840).

141306340656 is an abundant number, since it is smaller than the sum of its proper divisors (288921123024).

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

141306340656 is a wasteful number, since it uses less digits than its factorization.

141306340656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4044 (or 4038 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

Adding to 141306340656 its reverse (656043603141), we get a palindrome (797349943797).

The spelling of 141306340656 in words is "one hundred forty-one billion, three hundred six million, three hundred forty thousand, six hundred fifty-six".