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414061600161 = 311671531122321
BaseRepresentation
bin1100000011001111111…
…11101001110110100001
31110120202122221200002210
412001213333221312201
523240444232201121
6514114533032333
741625555346566
oct6014777516641
91416678850083
10414061600161
1114a669a84760
12682b84856a9
1330079937601
141607d91286d
15ab86148876
hex6067fe9da1

414061600161 has 32 divisors (see below), whose sum is σ = 611664800256. Its totient is φ = 247037472000.

The previous prime is 414061600159. The next prime is 414061600243. The reversal of 414061600161 is 161006160414.

It is not a de Polignac number, because 414061600161 - 21 = 414061600159 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (414061600151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3323881 + ... + 3446201.

It is an arithmetic number, because the mean of its divisors is an integer number (19114525008).

Almost surely, 2414061600161 is an apocalyptic number.

It is an amenable number.

414061600161 is a deficient number, since it is larger than the sum of its proper divisors (197603200095).

414061600161 is a wasteful number, since it uses less digits than its factorization.

414061600161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123933.

The product of its (nonzero) digits is 3456, while the sum is 30.

Adding to 414061600161 its reverse (161006160414), we get a palindrome (575067760575).

The spelling of 414061600161 in words is "four hundred fourteen billion, sixty-one million, six hundred thousand, one hundred sixty-one".

Divisors: 1 3 11 33 67 201 737 1531 2211 4593 16841 50523 102577 122321 307731 366963 1128347 1345531 3385041 4036593 8195507 24586521 90150577 187273451 270451731 561820353 2060007961 6180023883 12547321217 37641963651 138020533387 414061600161