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1214044040 = 235116014591
BaseRepresentation
bin100100001011100…
…1101011110001000
310010121102211100002
41020113031132020
54441243402130
6320245102132
742041126666
oct11027153610
93117384302
101214044040
11573329290
1229a6b7948
131646a0971
14b7347c36
15718b1b45
hex485cd788

1214044040 has 64 divisors (see below), whose sum is σ = 2985534720. Its totient is φ = 440640000.

The previous prime is 1214044033. The next prime is 1214044043. The reversal of 1214044040 is 404404121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1214044043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262145 + ... + 266735.

It is an arithmetic number, because the mean of its divisors is an integer number (46648980).

Almost surely, 21214044040 is an apocalyptic number.

1214044040 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 1214044040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492767360).

1214044040 is an abundant number, since it is smaller than the sum of its proper divisors (1771490680).

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

1214044040 is a wasteful number, since it uses less digits than its factorization.

1214044040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5214 (or 5210 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1214044040 is about 34843.1347613845. The cubic root of 1214044040 is about 1066.7880621385.

Adding to 1214044040 its reverse (404404121), we get a palindrome (1618448161).

The spelling of 1214044040 in words is "one billion, two hundred fourteen million, forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 601 1202 2404 3005 4591 4808 6010 6611 9182 12020 13222 18364 22955 24040 26444 33055 36728 45910 50501 52888 66110 91820 101002 132220 183640 202004 252505 264440 404008 505010 1010020 2020040 2759191 5518382 11036764 13795955 22073528 27591910 30351101 55183820 60702202 110367640 121404404 151755505 242808808 303511010 607022020 1214044040