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3388142681 = 731119151313
BaseRepresentation
bin1100100111110010…
…1111010001011001
322202010101110222222
43021330233101121
523414331031211
61320111353425
7146650511000
oct31174572131
98663343888
103388142681
111489577820
127a6822875
1341cc33a71
14241da1c37
1514c6b41db
hexc9f2f459

3388142681 has 64 divisors (see below), whose sum is σ = 4581888000. Its totient is φ = 2476656000.

The previous prime is 3388142677. The next prime is 3388142683. The reversal of 3388142681 is 1862418833.

It is not a de Polignac number, because 3388142681 - 22 = 3388142677 is a prime.

It is a super-2 number, since 2×33881426812 = 22959021653627735522, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3388142683) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10824581 + ... + 10824893.

It is an arithmetic number, because the mean of its divisors is an integer number (71592000).

Almost surely, 23388142681 is an apocalyptic number.

It is an amenable number.

3388142681 is a deficient number, since it is larger than the sum of its proper divisors (1193745319).

3388142681 is a wasteful number, since it uses less digits than its factorization.

3388142681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 501 counting only the distinct ones).

The product of its digits is 221184, while the sum is 44.

The square root of 3388142681 is about 58207.7544748120. The cubic root of 3388142681 is about 1501.9445419337.

The spelling of 3388142681 in words is "three billion, three hundred eighty-eight million, one hundred forty-two thousand, six hundred eighty-one".

Divisors: 1 7 11 19 49 77 133 151 209 313 343 539 931 1057 1463 1661 2191 2869 3443 3773 5947 6517 7399 10241 11627 15337 20083 24101 31559 41629 47263 51793 65417 71687 81389 107359 140581 168707 220913 291403 330841 457919 519893 569723 897997 984067 1180949 1546391 2039821 2315887 3205433 3639251 6285979 9877967 10824737 16211209 22438031 25474757 44001853 69145769 178323299 308012971 484020383 3388142681