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159543003335040 = 27355131738911933
BaseRepresentation
bin100100010001101010000000…
…000010100100100110000000
3202220220011101012212002200000
4210101222000002210212000
5131402423032323210130
61323153013252400000
745414413231545053
oct4421520002444600
9686804335762600
10159543003335040
11469208981179a6
1215a88605016000
136b03ac0c0a440
142b57ccb726a9a
15136a12dc28260
hex911a800a4980

159543003335040 has 1536 divisors, whose sum is σ = 653196720758400. Its totient is φ = 36863891472384.

The previous prime is 159543003334993. The next prime is 159543003335041. The reversal of 159543003335040 is 40533300345951.

159543003335040 is a `hidden beast` number, since 1 + 5 + 9 + 5 + 4 + 300 + 3 + 335 + 0 + 4 + 0 = 666.

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 (159543003335041) 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 191 ways as a sum of consecutive naturals, for example, 13369892914 + ... + 13369904846.

Almost surely, 2159543003335040 is an apocalyptic number.

159543003335040 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 159543003335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326598360379200).

159543003335040 is an abundant number, since it is smaller than the sum of its proper divisors (493653717423360).

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

159543003335040 is a wasteful number, since it uses less digits than its factorization.

159543003335040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12386 (or 12362 counting only the distinct ones).

The product of its (nonzero) digits is 1458000, while the sum is 45.

The spelling of 159543003335040 in words is "one hundred fifty-nine trillion, five hundred forty-three billion, three million, three hundred thirty-five thousand, forty".