Search a number
-
+
1042870910400 = 263252117983339
BaseRepresentation
bin11110010110011111111…
…00110011110111000000
310200200211110121022200100
433023033330303313000
5114041244423113100
62115031022522400
7135226212323004
oct17131774636700
93620743538610
101042870910400
11372308494460
1214a147436400
137745b075347
1438692016704
151c1da2e3400
hexf2cff33dc0

1042870910400 has 504 divisors, whose sum is σ = 4094807558400. Its totient is φ = 249613977600.

The previous prime is 1042870910371. The next prime is 1042870910429. The reversal of 1042870910400 is 40190782401.

It is an interprime number because it is at equal distance from previous prime (1042870910371) and next prime (1042870910429).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12471931 + ... + 12555269.

Almost surely, 21042870910400 is an apocalyptic number.

1042870910400 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 1042870910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047403779200).

1042870910400 is an abundant number, since it is smaller than the sum of its proper divisors (3051936648000).

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

1042870910400 is a wasteful number, since it uses less digits than its factorization.

1042870910400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83457 (or 83439 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 1042870910400 in words is "one trillion, forty-two billion, eight hundred seventy million, nine hundred ten thousand, four hundred".