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114341213252 = 227213715492749
BaseRepresentation
bin110101001111101000…
…1000111010001000100
3101221010122011110102002
41222133101013101010
53333132322311002
6124305545004432
711155324163600
oct1523721072104
9357118143362
10114341213252
11445456a7962
121a1b0783718
13aa22a19246
145769998500
152e932bd002
hex1a9f447444

114341213252 has 72 divisors (see below), whose sum is σ = 234701775000. Its totient is φ = 48596599296.

The previous prime is 114341213251. The next prime is 114341213279. The reversal of 114341213252 is 252312143411.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2159089156 + 112182124096 = 46466^2 + 334936^2 .

It is not an unprimeable number, because it can be changed into a prime (114341213251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41592374 + ... + 41595122.

It is an arithmetic number, because the mean of its divisors is an integer number (3259746875).

Almost surely, 2114341213252 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 114341213252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117350887500).

114341213252 is an abundant number, since it is smaller than the sum of its proper divisors (120360561748).

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

114341213252 is a wasteful number, since it uses less digits than its factorization.

114341213252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4453 (or 4444 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

Adding to 114341213252 its reverse (252312143411), we get a palindrome (366653356663).

The spelling of 114341213252 in words is "one hundred fourteen billion, three hundred forty-one million, two hundred thirteen thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 28 49 98 137 196 274 548 959 1549 1918 2749 3098 3836 5498 6196 6713 10843 10996 13426 19243 21686 26852 38486 43372 75901 76972 134701 151802 212213 269402 303604 376613 424426 538804 753226 848852 1485491 1506452 2636291 2970982 4258201 5272582 5941964 8516402 10398437 10545164 17032804 18454037 20796874 29807407 36908074 41593748 59614814 73816148 119229628 208651849 417303698 583373537 834607396 1166747074 2333494148 4083614759 8167229518 16334459036 28585303313 57170606626 114341213252