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114206142306881 = 17194731723731753
BaseRepresentation
bin11001111101111010110000…
…100010110001101001000001
3112222101000000102100200120002
4121331322300202301221001
5104432123134412310011
61042521324422525345
733025056446314142
oct3175726042615101
9488330012320502
10114206142306881
1133431609a91039
1210985ab9b96855
134b95792abc171
14202b86d015ac9
15d30b6ced9c3b
hex67deb08b1a41

114206142306881 has 32 divisors (see below), whose sum is σ = 130406937500160. Its totient is φ = 99349847156736.

The previous prime is 114206142306877. The next prime is 114206142306889. The reversal of 114206142306881 is 188603241602411.

It is a cyclic number.

It is not a de Polignac number, because 114206142306881 - 22 = 114206142306877 is a prime.

It is a super-2 number, since 2×1142061423068812 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114206142306889) 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 31 ways as a sum of consecutive naturals, for example, 7053500 + ... + 16678253.

It is an arithmetic number, because the mean of its divisors is an integer number (4075216796880).

Almost surely, 2114206142306881 is an apocalyptic number.

It is an amenable number.

114206142306881 is a deficient number, since it is larger than the sum of its proper divisors (16200795193279).

114206142306881 is a wasteful number, since it uses less digits than its factorization.

114206142306881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23732153.

The product of its (nonzero) digits is 442368, while the sum is 47.

The spelling of 114206142306881 in words is "one hundred fourteen trillion, two hundred six billion, one hundred forty-two million, three hundred six thousand, eight hundred eighty-one".

Divisors: 1 17 19 47 317 323 799 893 5389 6023 14899 15181 102391 253283 283081 4812377 23731753 403439801 450903307 1115392391 7522965701 7665356219 18961670647 21192455429 127890416917 142936348319 353579387947 360271742293 2429917921423 6010849595099 6718008370993 114206142306881