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159430602240 = 2934572131771
BaseRepresentation
bin1001010001111011001…
…1011110111000000000
3120020111222210202010000
42110132303132320000
510103003213232430
6201124051040000
714342560521300
oct2243663367000
9506458722100
10159430602240
11616834671a8
1226a94ba0000
131205a2c7180
147a06055600
1542319b6e60
hex251ecdee00

159430602240 has 2400 divisors, whose sum is σ = 768104213184. Its totient is φ = 31213486080.

The previous prime is 159430602229. The next prime is 159430602241. The reversal of 159430602240 is 42206034951.

It is a happy number.

159430602240 is a `hidden beast` number, since 1 + 5 + 9 + 4 + 3 + 0 + 602 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 159430602195 and 159430602204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159430602241) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2245501405 + ... + 2245501475.

Almost surely, 2159430602240 is an apocalyptic number.

159430602240 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 159430602240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384052106592).

159430602240 is an abundant number, since it is smaller than the sum of its proper divisors (608673610944).

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

159430602240 is a wasteful number, since it uses less digits than its factorization.

159430602240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 159430602240 in words is "one hundred fifty-nine billion, four hundred thirty million, six hundred two thousand, two hundred forty".