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61401141 = 32191312741
BaseRepresentation
bin1110101000111…
…0100000110101
311021112111112100
43222032200311
5111204314031
610032012313
71343621034
oct352164065
9137474470
1061401141
113172864a
1218691099
13c94a949
14822471b
1555ccde6
hex3a8e835

61401141 has 24 divisors (see below), whose sum is σ = 94105440. Its totient is φ = 38469600.

The previous prime is 61401139. The next prime is 61401143. The reversal of 61401141 is 14110416.

61401141 is a `hidden beast` number, since 614 + 0 + 11 + 41 = 666.

61401141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61401139) and next prime (61401143).

It is not a de Polignac number, because 61401141 - 21 = 61401139 is a prime.

It is a super-2 number, since 2×614011412 = 7540200232203762, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61401143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21031 + ... + 23771.

It is an arithmetic number, because the mean of its divisors is an integer number (3921060).

Almost surely, 261401141 is an apocalyptic number.

It is an amenable number.

61401141 is a deficient number, since it is larger than the sum of its proper divisors (32704299).

61401141 is a wasteful number, since it uses less digits than its factorization.

61401141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2897 (or 2894 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 61401141 is about 7835.8880160452. Note that the first 3 decimals coincide. The cubic root of 61401141 is about 394.5107246478.

Adding to 61401141 its reverse (14110416), we get a palindrome (75511557).

The spelling of 61401141 in words is "sixty-one million, four hundred one thousand, one hundred forty-one".

Divisors: 1 3 9 19 57 131 171 393 1179 2489 2741 7467 8223 22401 24669 52079 156237 359071 468711 1077213 3231639 6822349 20467047 61401141