Search a number
-
+
2144052313020 = 22325192922393119
BaseRepresentation
bin11111001100110011011…
…110011111101110111100
321120222011200200120010200
4133030303132133232330
5240112004343004040
64320544122003500
7310621420651032
oct37146336375674
97528150616120
102144052313020
117573186a9752
122a7646946590
1312724c832c07
1475ab636c552
153ab89859630
hex1f33379fbbc

2144052313020 has 432 divisors, whose sum is σ = 7122076416000. Its totient is φ = 520622387712.

The previous prime is 2144052312967. The next prime is 2144052313037. The reversal of 2144052313020 is 203132504412.

2144052313020 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 0 + 523 + 130 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 687415021 + ... + 687418139.

It is an arithmetic number, because the mean of its divisors is an integer number (16486288000).

Almost surely, 22144052313020 is an apocalyptic number.

2144052313020 is a gapful number since it is divisible by the number (20) 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 2144052313020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3561038208000).

2144052313020 is an abundant number, since it is smaller than the sum of its proper divisors (4978024102980).

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

2144052313020 is a wasteful number, since it uses less digits than its factorization.

2144052313020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3450 (or 3416 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 2144052313020 its reverse (203132504412), we get a palindrome (2347184817432).

The spelling of 2144052313020 in words is "two trillion, one hundred forty-four billion, fifty-two million, three hundred thirteen thousand, twenty".