Search a number
-
+
1366457545440 = 25375132811069
BaseRepresentation
bin10011111000100111001…
…101110111001011100000
311211122001202221120000000
4103320213031313023200
5134342001112423230
62523424131300000
7200503043331231
oct23704715671340
94748052846000
101366457545440
1148756972a769
121a09b3a4a600
139bb1965c620
144a1cb911088
152582853eb60
hex13e273772e0

1366457545440 has 768 divisors, whose sum is σ = 5237530502400. Its totient is φ = 334848245760.

The previous prime is 1366457545423. The next prime is 1366457545457. The reversal of 1366457545440 is 445457546631.

1366457545440 is a `hidden beast` number, since 1 + 3 + 6 + 6 + 4 + 57 + 545 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1366457545423) and next prime (1366457545457).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1278257226 + ... + 1278258294.

It is an arithmetic number, because the mean of its divisors is an integer number (6819701175).

Almost surely, 21366457545440 is an apocalyptic number.

1366457545440 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 1366457545440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2618765251200).

1366457545440 is an abundant number, since it is smaller than the sum of its proper divisors (3871072956960).

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

1366457545440 is a wasteful number, since it uses less digits than its factorization.

1366457545440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 54.

The spelling of 1366457545440 in words is "one trillion, three hundred sixty-six billion, four hundred fifty-seven million, five hundred forty-five thousand, four hundred forty".