Search a number
-
+
1143631350528 = 2831719311271171
BaseRepresentation
bin10000101001000101101…
…111011000101100000000
311001022220122011000200020
4100221011233120230000
5122214124111204103
62233213232453440
7145424152042062
oct20510557305400
94038818130606
101143631350528
114010140a0477
121657879aa280
1383ac8296554
143d4d0065732
151eb3618d753
hex10a45bd8b00

1143631350528 has 576 divisors, whose sum is σ = 3532408750080. Its totient is φ = 326069452800.

The previous prime is 1143631350523. The next prime is 1143631350529. The reversal of 1143631350528 is 8250531363411.

It is a self number, because there is not a number n which added to its sum of digits gives 1143631350528.

It is not an unprimeable number, because it can be changed into a prime (1143631350523) 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, 976627383 + ... + 976628553.

It is an arithmetic number, because the mean of its divisors is an integer number (6132654080).

Almost surely, 21143631350528 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 1143631350528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766204375040).

1143631350528 is an abundant number, since it is smaller than the sum of its proper divisors (2388777399552).

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

1143631350528 is a wasteful number, since it uses less digits than its factorization.

1143631350528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 1143631350528 in words is "one trillion, one hundred forty-three billion, six hundred thirty-one million, three hundred fifty thousand, five hundred twenty-eight".