Search a number
-
+
5143434780000 = 2535411291032609
BaseRepresentation
bin100101011011000110010…
…0110100101110101100000
3200012201002210221220112110
41022312030212211311200
51133232223300430000
614534510013355320
71040413052163246
oct112661446456540
920181083856473
105143434780000
111703355931760
126b09b9a98b40
132b404043895a
1413ad2d236796
158dbd4c6a850
hex4ad8c9a5d60

5143434780000 has 960 divisors, whose sum is σ = 19232153740800. Its totient is φ = 1191751680000.

The previous prime is 5143434779999. The next prime is 5143434780017. The reversal of 5143434780000 is 874343415.

It is a super-2 number, since 2×51434347800002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1971418696 + ... + 1971421304.

It is an arithmetic number, because the mean of its divisors is an integer number (20033493480).

Almost surely, 25143434780000 is an apocalyptic number.

5143434780000 is a gapful number since it is divisible by the number (50) 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 5143434780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9616076870400).

5143434780000 is an abundant number, since it is smaller than the sum of its proper divisors (14088718960800).

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

5143434780000 is a wasteful number, since it uses less digits than its factorization.

5143434780000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2785 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 5143434780000 in words is "five trillion, one hundred forty-three billion, four hundred thirty-four million, seven hundred eighty thousand".