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344242131433240 = 2359788722198823
BaseRepresentation
bin100111001000101100001110…
…1111101011111011100011000
31200010212020010000120112211111
41032101120131331133130120
5330110030341121330430
63220050352455310104
7132336446633006635
oct11621303575373430
91603766100515744
10344242131433240
119a7602a4902777
123273852137b334
1311a10b80611a11
14610159da0d18c
1529be7db667c2a
hex139161df5f718

344242131433240 has 32 divisors (see below), whose sum is σ = 782529793627680. Its totient is φ = 136277297390592.

The previous prime is 344242131433231. The next prime is 344242131433247. The reversal of 344242131433240 is 42334131242443.

It is a happy number.

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 = 344242131433193 and 344242131433202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344242131433247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44361095532 + ... + 44361103291.

It is an arithmetic number, because the mean of its divisors is an integer number (24454056050865).

Almost surely, 2344242131433240 is an apocalyptic number.

It is an amenable number.

344242131433240 is an abundant number, since it is smaller than the sum of its proper divisors (438287662194440).

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

344242131433240 is a wasteful number, since it uses less digits than its factorization.

344242131433240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88722198931 (or 88722198927 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 40.

Adding to 344242131433240 its reverse (42334131242443), we get a palindrome (386576262675683).

The spelling of 344242131433240 in words is "three hundred forty-four trillion, two hundred forty-two billion, one hundred thirty-one million, four hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 97 194 388 485 776 970 1940 3880 88722198823 177444397646 354888795292 443610994115 709777590584 887221988230 1774443976460 3548887952920 8606053285831 17212106571662 34424213143324 43030266429155 68848426286648 86060532858310 172121065716620 344242131433240