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160143630240 = 253511793791013
BaseRepresentation
bin1001010100100101001…
…1011101111110100000
3120022100200111022122110
42111021103131332200
510110433232131430
6201322521435320
714366336253156
oct2251123357640
9508320438573
10160143630240
1161a099a4740
122705393bb40
1312141c48429
147a72a213d6
1542743ae7b0
hex25494ddfa0

160143630240 has 384 divisors, whose sum is σ = 559299686400. Its totient is φ = 38192394240.

The previous prime is 160143630239. The next prime is 160143630347. The reversal of 160143630240 is 42036341061.

160143630240 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 160143630198 and 160143630207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158087974 + ... + 158088986.

It is an arithmetic number, because the mean of its divisors is an integer number (1456509600).

Almost surely, 2160143630240 is an apocalyptic number.

160143630240 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 160143630240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279649843200).

160143630240 is an abundant number, since it is smaller than the sum of its proper divisors (399156056160).

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

160143630240 is a wasteful number, since it uses less digits than its factorization.

160143630240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 160143630240 in words is "one hundred sixty billion, one hundred forty-three million, six hundred thirty thousand, two hundred forty".