Search a number
-
+
1396146489600 = 283522915715971
BaseRepresentation
bin10100010100010000110…
…100001100100100000000
311221110200211221011222110
4110110100310030210000
5140333302000131400
62545214132335320
7202603545232602
oct24242064144400
94843624834873
101396146489600
11499114328955
121a66ba774540
13a186b4555c5
144b806909172
15264b4bc3e50
hex14510d0c900

1396146489600 has 432 divisors, whose sum is σ = 4797116089920. Its totient is φ = 357155635200.

The previous prime is 1396146489599. The next prime is 1396146489659. The reversal of 1396146489600 is 69846416931.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87409615 + ... + 87425585.

Almost surely, 21396146489600 is an apocalyptic number.

1396146489600 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 1396146489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2398558044960).

1396146489600 is an abundant number, since it is smaller than the sum of its proper divisors (3400969600320).

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

1396146489600 is a wasteful number, since it uses less digits than its factorization.

1396146489600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16186 (or 16167 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 57.

The spelling of 1396146489600 in words is "one trillion, three hundred ninety-six billion, one hundred forty-six million, four hundred eighty-nine thousand, six hundred".