Search a number
-
+
201303147433544 = 2313293728316633833
BaseRepresentation
bin101101110001010110001010…
…100110000100111001001000
3222101202101121110102200221022
4231301112022212010321020
5202341122321220333134
61552045220025332012
760254446436612252
oct5561261246047110
9871671543380838
10201303147433544
1159161204844992
121a6b1a94937008
138842a6147b520
14379d1a51d2cd2
15184155447c52e
hexb7158a984e48

201303147433544 has 256 divisors, whose sum is σ = 433758418329600. Its totient is φ = 86897523105792.

The previous prime is 201303147433543. The next prime is 201303147433571. The reversal of 201303147433544 is 445334741303102.

It is a junction number, because it is equal to n+sod(n) for n = 201303147433495 and 201303147433504.

It is not an unprimeable number, because it can be changed into a prime (201303147433543) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52518429452 + ... + 52518433284.

It is an arithmetic number, because the mean of its divisors is an integer number (1694368821600).

Almost surely, 2201303147433544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201303147433544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216879209164800).

201303147433544 is an abundant number, since it is smaller than the sum of its proper divisors (232455270896056).

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

201303147433544 is a wasteful number, since it uses less digits than its factorization.

201303147433544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5864 (or 5860 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 44.

Adding to 201303147433544 its reverse (445334741303102), we get a palindrome (646637888736646).

The spelling of 201303147433544 in words is "two hundred one trillion, three hundred three billion, one hundred forty-seven million, four hundred thirty-three thousand, five hundred forty-four".