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159345930240 = 212335725881
BaseRepresentation
bin1001010001100111000…
…0011111000000000000
3120020022002110221222000
42110121300133000000
510102320024231430
6201111424144000
714340512026200
oct2243160370000
9506262427860
10159345930240
116163a694942
1226a70768000
13120458bc3b3
1479d8ad4400
15422933de60
hex2519c1f000

159345930240 has 624 divisors, whose sum is σ = 659095040160. Its totient is φ = 36415733760.

The previous prime is 159345930239. The next prime is 159345930241. The reversal of 159345930240 is 42039543951.

159345930240 is a `hidden beast` number, since 1 + 5 + 9 + 34 + 593 + 0 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (159345930239) and next prime (159345930241).

It is a super-2 number, since 2×1593459302402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159345930241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27092100 + ... + 27097980.

Almost surely, 2159345930240 is an apocalyptic number.

159345930240 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 159345930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329547520080).

159345930240 is an abundant number, since it is smaller than the sum of its proper divisors (499749109920).

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

159345930240 is an equidigital number, since it uses as much as digits as its factorization.

159345930240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5933 (or 5898 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 159345930240 in words is "one hundred fifty-nine billion, three hundred forty-five million, nine hundred thirty thousand, two hundred forty".