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1141432320 = 2133571327
BaseRepresentation
bin100010000001000…
…1110000000000000
32221112210202210010
41010002032000000
54314201313240
6305132504520
740200005010
oct10402160000
92845722703
101141432320
11536343aa6
1227a31b140
13152629452
14ab845c40
156a31c280
hex4408e000

1141432320 has 224 divisors, whose sum is σ = 4177271808. Its totient is φ = 260702208.

The previous prime is 1141432297. The next prime is 1141432337. The reversal of 1141432320 is 232341411.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×11414323202 = 2605735482281164800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 859497 + ... + 860823.

Almost surely, 21141432320 is an apocalyptic number.

1141432320 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 1141432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2088635904).

1141432320 is an abundant number, since it is smaller than the sum of its proper divisors (3035839488).

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

1141432320 is an equidigital number, since it uses as much as digits as its factorization.

1141432320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1141432320 is about 33785.0902026323. The cubic root of 1141432320 is about 1045.0812479277.

Adding to 1141432320 its reverse (232341411), we get a palindrome (1373773731).

Subtracting from 1141432320 its reverse (232341411), we obtain a palindrome (909090909).

It can be divided in two parts, 11414 and 32320, that added together give a palindrome (43734).

The spelling of 1141432320 in words is "one billion, one hundred forty-one million, four hundred thirty-two thousand, three hundred twenty".