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1214124444 = 2233132713191
BaseRepresentation
bin100100001011110…
…0001000110011100
310010121120220122000
41020113201012130
54441303440234
6320250522300
742041613261
oct11027410634
93117526560
101214124444
11573383735
1229a736390
131646cb440
14b7369268
15718ca899
hex485e119c

1214124444 has 96 divisors (see below), whose sum is σ = 3403438080. Its totient is φ = 372081600.

The previous prime is 1214124433. The next prime is 1214124449. The reversal of 1214124444 is 4444214121.

It is a happy number.

1214124444 is a `hidden beast` number, since 1 + 214 + 1 + 2 + 4 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214124449) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 378889 + ... + 382079.

It is an arithmetic number, because the mean of its divisors is an integer number (35452480).

Almost surely, 21214124444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1214124444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701719040).

1214124444 is an abundant number, since it is smaller than the sum of its proper divisors (2189313636).

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

1214124444 is a wasteful number, since it uses less digits than its factorization.

1214124444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3488 (or 3480 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 1214124444 is about 34844.2885420265. The cubic root of 1214124444 is about 1066.8116121172.

Adding to 1214124444 its reverse (4444214121), we get a palindrome (5658338565).

It can be divided in two parts, 12141 and 24444, that added together give a triangular number (36585 = T270).

The spelling of 1214124444 in words is "one billion, two hundred fourteen million, one hundred twenty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 271 351 468 542 702 813 1084 1404 1626 2439 3191 3252 3523 4878 6382 7046 7317 9573 9756 10569 12764 14092 14634 19146 21138 28719 29268 31707 38292 41483 42276 57438 63414 82966 86157 95121 114876 124449 126828 165932 172314 190242 248898 344628 373347 380484 497796 746694 864761 1120041 1493388 1729522 2240082 2594283 3459044 4480164 5188566 7782849 10377132 11241893 15565698 22483786 23348547 31131396 33725679 44967572 46697094 67451358 93394188 101177037 134902716 202354074 303531111 404708148 607062222 1214124444