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344043133430440 = 23571983123236977
BaseRepresentation
bin100111000111001111100100…
…0110000010110101010101000
31200010011012110111201121002111
41032032133020300112222220
5330043300314124233230
63215415122241412104
7132316203366622363
oct11616371060265250
91603135414647074
10344043133430440
119a6939676a9934
1232705a4533a034
13119c8188a7bac2
1460d5ac2a390da
1529b954116b92a
hex138e7c8c16aa8

344043133430440 has 64 divisors (see below), whose sum is σ = 785798407560960. Its totient is φ = 135540955683840.

The previous prime is 344043133430429. The next prime is 344043133430441. The reversal of 344043133430440 is 44034331340443.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 344043133430393 and 344043133430402.

It is not an unprimeable number, because it can be changed into a prime (344043133430441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58826769 + ... + 64410208.

It is an arithmetic number, because the mean of its divisors is an integer number (12278100118140).

Almost surely, 2344043133430440 is an apocalyptic number.

It is an amenable number.

344043133430440 is an abundant number, since it is smaller than the sum of its proper divisors (441755274130520).

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

344043133430440 is a wasteful number, since it uses less digits than its factorization.

344043133430440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123238042 (or 123238038 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 40.

Adding to 344043133430440 its reverse (44034331340443), we get a palindrome (388077464770883).

The spelling of 344043133430440 in words is "three hundred forty-four trillion, forty-three billion, one hundred thirty-three million, four hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 983 1420 1966 2840 3932 4915 7864 9830 19660 39320 69793 139586 279172 348965 558344 697930 1395860 2791720 123236977 246473954 492947908 616184885 985895816 1232369770 2464739540 4929479080 8749825367 17499650734 34999301468 43749126835 69998602936 87498253670 121141948391 174996507340 242283896782 349993014680 484567793564 605709741955 969135587128 1211419483910 2422838967820 4845677935640 8601078335761 17202156671522 34404313343044 43005391678805 68808626686088 86010783357610 172021566715220 344043133430440