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402144334031 = 114149923581
BaseRepresentation
bin1011101101000011010…
…10111001000011001111
31102110000010111211021202
411312201222321003033
523042042422142111
6504424220420115
741024340303506
oct5664152710317
91373003454252
10402144334031
11145603aa1290
1265b313a763b
132bbca97c64b
141566ccad83d
15a6d9cbbb3b
hex5da1ab90cf

402144334031 has 24 divisors (see below), whose sum is σ = 450431141328. Its totient is φ = 355854864000.

The previous prime is 402144333991. The next prime is 402144334091. The reversal of 402144334031 is 130433441204.

It is a happy number.

It is not a de Polignac number, because 402144334031 - 26 = 402144333967 is a prime.

It is a super-2 number, since 2×4021443340312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 402144333985 and 402144334003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402144334091) 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, 112297661 + ... + 112301241.

It is an arithmetic number, because the mean of its divisors is an integer number (18767964222).

Almost surely, 2402144334031 is an apocalyptic number.

402144334031 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

402144334031 is a deficient number, since it is larger than the sum of its proper divisors (48286807297).

402144334031 is an equidigital number, since it uses as much as digits as its factorization.

402144334031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4631 (or 4132 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 402144334031 its reverse (130433441204), we get a palindrome (532577775235).

The spelling of 402144334031 in words is "four hundred two billion, one hundred forty-four million, three hundred thirty-four thousand, thirty-one".

Divisors: 1 11 41 451 499 3581 5489 20459 39391 146821 225049 249001 1615031 1786919 2739011 10209041 19656109 73263679 112299451 805900469 891672581 9808398391 36558575821 402144334031