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14134331232 = 2532743116267
BaseRepresentation
bin11010010100111100…
…01100011101100000
31100111001020102101100
431022132030131200
5212421342044412
610254311434400
71010155555530
oct151236143540
940431212340
1014134331232
115aa350928a
1228a5685a00
1314433b2c08
149812834c0
1557ad19edc
hex34a78c760

14134331232 has 144 divisors (see below), whose sum is σ = 46045988352. Its totient is φ = 4028762880.

The previous prime is 14134331231. The next prime is 14134331303. The reversal of 14134331232 is 23213343141.

It is a happy number.

14134331232 is a `hidden beast` number, since 1 + 4 + 1 + 343 + 312 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 14134331196 and 14134331205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14134331231) 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, 860763 + ... + 877029.

It is an arithmetic number, because the mean of its divisors is an integer number (319763808).

Almost surely, 214134331232 is an apocalyptic number.

14134331232 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 14134331232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23022994176).

14134331232 is an abundant number, since it is smaller than the sum of its proper divisors (31911657120).

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

14134331232 is a wasteful number, since it uses less digits than its factorization.

14134331232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16721 (or 16710 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 14134331232 its reverse (23213343141), we get a palindrome (37347674373).

The spelling of 14134331232 in words is "fourteen billion, one hundred thirty-four million, three hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 431 504 672 862 1008 1293 1724 2016 2586 3017 3448 3879 5172 6034 6896 7758 9051 10344 12068 13792 15516 16267 18102 20688 24136 27153 31032 32534 36204 41376 48272 48801 54306 62064 65068 72408 96544 97602 108612 113869 124128 130136 144816 146403 195204 217224 227738 260272 289632 292806 341607 390408 434448 455476 520544 585612 683214 780816 868896 910952 1024821 1171224 1366428 1561632 1821904 2049642 2342448 2732856 3643808 4099284 4684896 5465712 7011077 8198568 10931424 14022154 16397136 21033231 28044308 32794272 42066462 49077539 56088616 63099693 84132924 98155078 112177232 126199386 147232617 168265848 196310156 224354464 252398772 294465234 336531696 392620312 441697851 504797544 588930468 673063392 785240624 883395702 1009595088 1177860936 1570481248 1766791404 2019190176 2355721872 3533582808 4711443744 7067165616 14134331232