Search a number
-
+
1443183920640 = 29365711383
BaseRepresentation
bin10101000000000100011…
…101110000011000000000
312002222002222011021000000
4111000010131300120000
5142121120040430030
63022553424000000
7206160304631220
oct25000435603000
95088088137000
101443183920640
11507061777000
121b3847460000
13a61264b8237
144dbc99b8080
152781941a860
hex15004770600

1443183920640 has 2240 divisors, whose sum is σ = 6600204559872. Its totient is φ = 296269332480.

The previous prime is 1443183920627. The next prime is 1443183920641. The reversal of 1443183920640 is 460293813441.

1443183920640 is a `hidden beast` number, since 1 + 4 + 431 + 8 + 3 + 9 + 206 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1443183920641) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 17387758039 + ... + 17387758121.

Almost surely, 21443183920640 is an apocalyptic number.

1443183920640 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 1443183920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3300102279936).

1443183920640 is an abundant number, since it is smaller than the sum of its proper divisors (5157020639232).

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

1443183920640 is an frugal number, since it uses more digits than its factorization.

1443183920640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 1443183920640 in words is "one trillion, four hundred forty-three billion, one hundred eighty-three million, nine hundred twenty thousand, six hundred forty".