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340442144640 = 2735513212953
BaseRepresentation
bin1001111010000111110…
…11101101111110000000
31012112201222221211200000
410331003323231332000
521034211142112030
6420221424400000
733411321324513
oct4750373557600
91175658854600
10340442144640
11121420796134
1255b91476000
132614668a500
1412698324d7a
158cc7dd1860
hex4f43eedf80

340442144640 has 576 divisors, whose sum is σ = 1320224527440. Its totient is φ = 83794673664.

The previous prime is 340442144639. The next prime is 340442144641. The reversal of 340442144640 is 46441244043.

340442144640 is a `hidden beast` number, since 3 + 4 + 0 + 4 + 4 + 2 + 1 + 4 + 4 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (340442144639) and next prime (340442144641).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 340442144595 and 340442144604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340442144641) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26276404 + ... + 26289356.

Almost surely, 2340442144640 is an apocalyptic number.

340442144640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340442144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660112263720).

340442144640 is an abundant number, since it is smaller than the sum of its proper divisors (979782382800).

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

340442144640 is a wasteful number, since it uses less digits than its factorization.

340442144640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13013 (or 12976 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 340442144640 its reverse (46441244043), we get a palindrome (386883388683).

The spelling of 340442144640 in words is "three hundred forty billion, four hundred forty-two million, one hundred forty-four thousand, six hundred forty".