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160442231040 = 28325713314937
BaseRepresentation
bin1001010101101100011…
…0100010100100000000
3120100010111100210221100
42111123012202210000
510112041202343130
6201412305454400
714406623314350
oct2253306424400
9510114323840
10160442231040
1162052502963
1227117941400
131218ba763b0
147aa054cb60
1542906e3c60
hex255b1a2900

160442231040 has 864 divisors, whose sum is σ = 705398593536. Its totient is φ = 32752926720.

The previous prime is 160442231029. The next prime is 160442231051. The reversal of 160442231040 is 40132244061.

It is a happy number.

160442231040 is a `hidden beast` number, since 1 + 604 + 4 + 2 + 2 + 3 + 10 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (160442231029) and next prime (160442231051).

It is a junction number, because it is equal to n+sod(n) for n = 160442230995 and 160442231013.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32495452 + ... + 32500388.

Almost surely, 2160442231040 is an apocalyptic number.

160442231040 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 160442231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352699296768).

160442231040 is an abundant number, since it is smaller than the sum of its proper divisors (544956362496).

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

160442231040 is a wasteful number, since it uses less digits than its factorization.

160442231040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5015 (or 4998 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 160442231040 in words is "one hundred sixty billion, four hundred forty-two million, two hundred thirty-one thousand, forty".