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194030143856640 = 213335713171947127
BaseRepresentation
bin101100000111100000101001…
…110011001110000000000000
3221110000002201100002002021000
4230013200221303032000000
5200412442213311403030
61524400114553532000
755604133562334310
oct5407405163160000
9843002640062230
10194030143856640
11569077a3940613
1219918412714000
138435c6c051a60
1435cb175409440
151767281699860
hexb07829cce000

194030143856640 has 7168 divisors, whose sum is σ = 974039128473600. Its totient is φ = 35444251164672.

The previous prime is 194030143856629. The next prime is 194030143856713. The reversal of 194030143856640 is 46658341030491.

It is a happy number.

194030143856640 is a `hidden beast` number, since 1 + 9 + 4 + 0 + 3 + 0 + 1 + 4 + 38 + 566 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (7168).

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

It is a congruent number.

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 511 ways as a sum of consecutive naturals, for example, 1527796408257 + ... + 1527796408383.

It is an arithmetic number, because the mean of its divisors is an integer number (135887155200).

Almost surely, 2194030143856640 is an apocalyptic number.

194030143856640 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 194030143856640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487019564236800).

194030143856640 is an abundant number, since it is smaller than the sum of its proper divisors (780008984616960).

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

194030143856640 is a wasteful number, since it uses less digits than its factorization.

194030143856640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 194030143856640 in words is "one hundred ninety-four trillion, thirty billion, one hundred forty-three million, eight hundred fifty-six thousand, six hundred forty".