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1414133712 = 243217599791
BaseRepresentation
bin101010001001001…
…1111011111010000
310122112221102202200
41110102133133100
510344004234322
6352153443200
750020636545
oct12422373720
93575842680
101414133712
11666272652
12335710500
13196c89a14
14d5b50bcc
15842378ac
hex5449f7d0

1414133712 has 120 divisors (see below), whose sum is σ = 4261870080. Its totient is φ = 436085760.

The previous prime is 1414133711. The next prime is 1414133717. The reversal of 1414133712 is 2173314141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414133711) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139537 + ... + 149327.

It is an arithmetic number, because the mean of its divisors is an integer number (35515584).

Almost surely, 21414133712 is an apocalyptic number.

1414133712 is a gapful number since it is divisible by the number (12) 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 1414133712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2130935040).

1414133712 is an abundant number, since it is smaller than the sum of its proper divisors (2847736368).

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

1414133712 is a wasteful number, since it uses less digits than its factorization.

1414133712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9881 (or 9872 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 1414133712 is about 37604.9692460983. The cubic root of 1414133712 is about 1122.4409221507.

Adding to 1414133712 its reverse (2173314141), we get a palindrome (3587447853).

The spelling of 1414133712 in words is "one billion, four hundred fourteen million, one hundred thirty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 59 68 72 102 118 136 144 153 177 204 236 272 306 354 408 472 531 612 708 816 944 1003 1062 1224 1416 2006 2124 2448 2832 3009 4012 4248 6018 8024 8496 9027 9791 12036 16048 18054 19582 24072 29373 36108 39164 48144 58746 72216 78328 88119 117492 144432 156656 166447 176238 234984 332894 352476 469968 499341 577669 665788 704952 998682 1155338 1331576 1409904 1498023 1733007 1997364 2310676 2663152 2996046 3466014 3994728 4621352 5199021 5992092 6932028 7989456 9242704 9820373 10398042 11984184 13864056 19640746 20796084 23968368 27728112 29461119 39281492 41592168 58922238 78562984 83184336 88383357 117844476 157125968 176766714 235688952 353533428 471377904 707066856 1414133712