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1421139200 = 285213192931
BaseRepresentation
bin101010010110100…
…1101110100000000
310200001010100111012
41110231031310000
510402302423300
6353003540052
750134324655
oct12455156400
93601110435
101421139200
1166a217a08
12337b2a628
13198570590
14d6a55c2c
1584b6d435
hex54b4dd00

1421139200 has 432 divisors, whose sum is σ = 4258060800. Its totient is φ = 464486400.

The previous prime is 1421139199. The next prime is 1421139217. The reversal of 1421139200 is 29311241.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45843185 + ... + 45843215.

Almost surely, 21421139200 is an apocalyptic number.

1421139200 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 1421139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2129030400).

1421139200 is an abundant number, since it is smaller than the sum of its proper divisors (2836921600).

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

1421139200 is a wasteful number, since it uses less digits than its factorization.

1421139200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 1421139200 is about 37697.9999469468. Note that the first 4 decimals coincide. The cubic root of 1421139200 is about 1124.2913594805.

The spelling of 1421139200 in words is "one billion, four hundred twenty-one million, one hundred thirty-nine thousand, two hundred".