Search a number
-
+
1042857728000 = 21153113710009
BaseRepresentation
bin11110010110011110010…
…10100001100000000000
310200200210112210120211022
433023033022201200000
5114041233034244000
62115025432205012
7135225662300234
oct17131712414000
93620715716738
101042857728000
11372301000310
1214a142b39768
137745840b0ca
14386903845c4
151c1d908c585
hexf2cf2a1800

1042857728000 has 384 divisors, whose sum is σ = 2915932219200. Its totient is φ = 368934912000.

The previous prime is 1042857727999. The next prime is 1042857728083. The reversal of 1042857728000 is 8277582401.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104186996 + ... + 104197004.

Almost surely, 21042857728000 is an apocalyptic number.

1042857728000 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 1042857728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457966109600).

1042857728000 is an abundant number, since it is smaller than the sum of its proper divisors (1873074491200).

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

1042857728000 is a wasteful number, since it uses less digits than its factorization.

1042857728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10094 (or 10064 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 44.

The spelling of 1042857728000 in words is "one trillion, forty-two billion, eight hundred fifty-seven million, seven hundred twenty-eight thousand".