Search a number
-
+
1714399989120 = 273257213716581
BaseRepresentation
bin11000111100101010001…
…100111100110110000000
320001220011111001001201100
4120330222030330312000
5211042042344122440
63351330125334400
7234601300316100
oct30745214746600
96056144031640
101714399989120
11601089110545
12238319107400
13c5889b80cb0
145cd97dc5200
152e8deb12230
hex18f2a33cd80

1714399989120 has 1152 divisors, whose sum is σ = 7521908546880. Its totient is φ = 356570726400.

The previous prime is 1714399989109. The next prime is 1714399989139. The reversal of 1714399989120 is 219899934171.

It is a happy number.

1714399989120 is a `hidden beast` number, since 1 + 7 + 1 + 439 + 9 + 98 + 91 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×17143999891202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 260504230 + ... + 260510810.

Almost surely, 21714399989120 is an apocalyptic number.

1714399989120 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 1714399989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3760954273440).

1714399989120 is an abundant number, since it is smaller than the sum of its proper divisors (5807508557760).

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

1714399989120 is a wasteful number, since it uses less digits than its factorization.

1714399989120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6704 (or 6682 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 63.

The spelling of 1714399989120 in words is "one trillion, seven hundred fourteen billion, three hundred ninety-nine million, nine hundred eighty-nine thousand, one hundred twenty".