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402144322440 = 23357478743241
BaseRepresentation
bin1011101101000011010…
…10110110001110001000
31102110000010111020101110
411312201222312032020
523042042421304230
6504424220250320
741024340224640
oct5664152661610
91373003436343
10402144322440
11145603a93603
1265b313a09a0
132bbca9772a3
141566cca9520
15a6d9cb84b0
hex5da1ab6388

402144322440 has 64 divisors (see below), whose sum is σ = 1378780536960. Its totient is φ = 91918702080.

The previous prime is 402144322439. The next prime is 402144322441. The reversal of 402144322440 is 44223441204.

It is an interprime number because it is at equal distance from previous prime (402144322439) and next prime (402144322441).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 402144322398 and 402144322407.

It is not an unprimeable number, because it can be changed into a prime (402144322441) 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, 239370781 + ... + 239372460.

It is an arithmetic number, because the mean of its divisors is an integer number (21543445890).

Almost surely, 2402144322440 is an apocalyptic number.

402144322440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402144322440 is an abundant number, since it is smaller than the sum of its proper divisors (976636214520).

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

402144322440 is a wasteful number, since it uses less digits than its factorization.

402144322440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478743262 (or 478743258 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 402144322440 its reverse (44223441204), we get a palindrome (446367763644).

The spelling of 402144322440 in words is "four hundred two billion, one hundred forty-four million, three hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 478743241 957486482 1436229723 1914972964 2393716205 2872459446 3351202687 3829945928 4787432410 5744918892 6702405374 7181148615 9574864820 10053608061 11489837784 13404810748 14362297230 16756013435 19149729640 20107216122 26809621496 28724594460 33512026870 40214432244 50268040305 57449188920 67024053740 80428864488 100536080610 134048107480 201072161220 402144322440