Search a number
-
+
21443194592640 = 273457383233293
BaseRepresentation
bin1001110000000101000011…
…11111110001110110000000
32210220221122002200221220000
410320002201333301312000
510302311130303431030
6113334511222520000
74342135231451622
oct470024177616600
983827562627800
1021443194592640
11691800a363077
1224a3a02596000
13bc7113a67662
14541bdb412c12
15272bc01ad860
hex1380a1ff1d80

21443194592640 has 1280 divisors, whose sum is σ = 79168240831680. Its totient is φ = 5529055002624.

The previous prime is 21443194592609. The next prime is 21443194592657. The reversal of 21443194592640 is 4629549134412.

21443194592640 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 3 + 1 + 9 + 4 + 592 + 6 + 40 = 666.

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 159 ways as a sum of consecutive naturals, for example, 73184964334 + ... + 73184964626.

Almost surely, 221443194592640 is an apocalyptic number.

21443194592640 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 21443194592640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39584120415840).

21443194592640 is an abundant number, since it is smaller than the sum of its proper divisors (57725046239040).

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

21443194592640 is a wasteful number, since it uses less digits than its factorization.

21443194592640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 21443194592640 in words is "twenty-one trillion, four hundred forty-three billion, one hundred ninety-four million, five hundred ninety-two thousand, six hundred forty".