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402144331204 = 227111968719127
BaseRepresentation
bin1011101101000011010…
…10111000010111000100
31102110000010111200102001
411312201222320113010
523042042422044304
6504424220355044
741024340262330
oct5664152702704
91373003450361
10402144331204
11145603a9a150
1265b313a5a84
132bbca97b285
141566ccac7c0
15a6d9cbada4
hex5da1ab85c4

402144331204 has 48 divisors (see below), whose sum is σ = 923585080320. Its totient is φ = 148433312160.

The previous prime is 402144331201. The next prime is 402144331229. The reversal of 402144331204 is 402133441204.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (402144331201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34353712 + ... + 34365415.

It is an arithmetic number, because the mean of its divisors is an integer number (19241355840).

Almost surely, 2402144331204 is an apocalyptic number.

402144331204 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

402144331204 is an abundant number, since it is smaller than the sum of its proper divisors (521440749116).

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

402144331204 is a wasteful number, since it uses less digits than its factorization.

402144331204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68719168 (or 68719166 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 402144331204 its reverse (402133441204), we get a palindrome (804277772408).

Subtracting from 402144331204 its reverse (402133441204), we obtain a square (10890000 = 33002).

The spelling of 402144331204 in words is "four hundred two billion, one hundred forty-four million, three hundred thirty-one thousand, two hundred four".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 76 77 133 154 209 266 308 418 532 836 1463 2926 5852 68719127 137438254 274876508 481033889 755910397 962067778 1305663413 1511820794 1924135556 2611326826 3023641588 5222653652 5291372779 9139643891 10582745558 14362297543 18279287782 21165491116 28724595086 36558575564 57449190172 100536082801 201072165602 402144331204