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159844201440 = 2535731188261
BaseRepresentation
bin1001010011011101110…
…1001111001111100000
3120021120211001202112220
42110313131033033200
510104330103421230
6201233103551040
714356042203000
oct2246735171740
9507524052486
10159844201440
1161875980420
1226b8b5bb480
13120c4bba621
147a44d5a000
154257e64d10
hex253774f3e0

159844201440 has 384 divisors, whose sum is σ = 640570291200. Its totient is φ = 33214003200.

The previous prime is 159844201417. The next prime is 159844201487. The reversal of 159844201440 is 44102448951.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 159844201392 and 159844201401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1766910 + ... + 1855170.

It is an arithmetic number, because the mean of its divisors is an integer number (1668151800).

Almost surely, 2159844201440 is an apocalyptic number.

159844201440 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 159844201440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320285145600).

159844201440 is an abundant number, since it is smaller than the sum of its proper divisors (480726089760).

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

159844201440 is a wasteful number, since it uses less digits than its factorization.

159844201440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88311 (or 88289 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 159844201440 in words is "one hundred fifty-nine billion, eight hundred forty-four million, two hundred one thousand, four hundred forty".