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3340140076799 = 17532181601643
BaseRepresentation
bin110000100110101111110…
…111001101111011111111
3102211022111002211110221022
4300212233313031323333
5414211101324424144
611034234505454355
7463213533130421
oct60465767157377
912738432743838
103340140076799
1110785aaaa5869
1245b4121a13bb
131b2c87747336
14b794106a811
155bd40d58cee
hex309afdcdeff

3340140076799 has 48 divisors (see below), whose sum is σ = 3636198637344. Its totient is φ = 3057440256000.

The previous prime is 3340140076753. The next prime is 3340140076807. The reversal of 3340140076799 is 9976700410433.

It is not a de Polignac number, because 3340140076799 - 228 = 3339871641343 is a prime.

It is a super-2 number, since 2×33401400767992 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3340140076799.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3340140076709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5194618772 + ... + 5194619414.

It is an arithmetic number, because the mean of its divisors is an integer number (75754138278).

Almost surely, 23340140076799 is an apocalyptic number.

3340140076799 is a deficient number, since it is larger than the sum of its proper divisors (296058560545).

3340140076799 is a wasteful number, since it uses less digits than its factorization.

3340140076799 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 53.

The spelling of 3340140076799 in words is "three trillion, three hundred forty billion, one hundred forty million, seventy-six thousand, seven hundred ninety-nine".

Divisors: 1 17 53 181 601 643 901 2809 3077 9593 10217 10931 31853 34079 47753 108781 116383 163081 386443 508429 541501 579343 1688209 1806187 1849277 1978511 5765393 6168299 6569531 8643293 20481479 28699553 30705179 69946183 98011681 104861083 305565829 326919847 348185143 1085518387 1189085111 3707147699 5194619093 5557637399 18453812579 63021510883 196478828047 3340140076799