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1014144300 = 223452139631
BaseRepresentation
bin111100011100101…
…001110100101100
32121200021212110000
4330130221310230
54034110104200
6244344344300
734063040631
oct7434516454
92550255400
101014144300
11480504694
12243775090
131321501b0
1498990188
155e077300
hex3c729d2c

1014144300 has 180 divisors, whose sum is σ = 3540703936. Its totient is φ = 249609600.

The previous prime is 1014144289. The next prime is 1014144301. The reversal of 1014144300 is 34414101.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×10141443002 = 2056977322444980000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1014144301) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 100485 + ... + 110115.

Almost surely, 21014144300 is an apocalyptic number.

1014144300 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 1014144300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770351968).

1014144300 is an abundant number, since it is smaller than the sum of its proper divisors (2526559636).

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

1014144300 is a wasteful number, since it uses less digits than its factorization.

1014144300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9670 (or 9654 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1014144300 is about 31845.6323535897. The cubic root of 1014144300 is about 1004.6927106862.

Adding to 1014144300 its reverse (34414101), we get a palindrome (1048558401).

The spelling of 1014144300 in words is "one billion, fourteen million, one hundred forty-four thousand, three hundred".