Search a number
-
+
2443141451520 = 283257112754263
BaseRepresentation
bin100011100011010110100…
…101000000111100000000
322122120011201200000210200
4203203112211000330000
5310012023202422040
65110210320125200
7341340215456460
oct43432645007400
98576151600720
102443141451520
11862148725250
123355b7166800
13149505a34403
148636a527ba0
1543842093630
hex238d6940f00

2443141451520 has 432 divisors, whose sum is σ = 10538827633152. Its totient is φ = 507665571840.

The previous prime is 2443141451503. The next prime is 2443141451549. The reversal of 2443141451520 is 251541413442.

2443141451520 is a `hidden beast` number, since 2 + 4 + 43 + 1 + 41 + 4 + 51 + 520 = 666.

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 47 ways as a sum of consecutive naturals, for example, 490092 + ... + 2264171.

It is an arithmetic number, because the mean of its divisors is an integer number (24395434336).

Almost surely, 22443141451520 is an apocalyptic number.

2443141451520 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 2443141451520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5269413816576).

2443141451520 is an abundant number, since it is smaller than the sum of its proper divisors (8095686181632).

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

2443141451520 is a wasteful number, since it uses less digits than its factorization.

2443141451520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2754308 (or 2754291 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 2443141451520 its reverse (251541413442), we get a palindrome (2694682864962).

The spelling of 2443141451520 in words is "two trillion, four hundred forty-three billion, one hundred forty-one million, four hundred fifty-one thousand, five hundred twenty".