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114437141 = 71310112451
BaseRepresentation
bin1101101001000…
…10110000010101
321222100000020122
412310202300111
5213243442031
615204441325
72556461660
oct664426025
9258300218
10114437141
1159662355
12323a9245
131a929bb0
14112ac6d7
15a0a747b
hex6d22c15

114437141 has 16 divisors (see below), whose sum is σ = 142251648. Its totient is φ = 89640000.

The previous prime is 114437131. The next prime is 114437177. The reversal of 114437141 is 141734411.

It is a cyclic number.

It is not a de Polignac number, because 114437141 - 218 = 114174997 is a prime.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 114437141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114437101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2966 + ... + 15416.

It is an arithmetic number, because the mean of its divisors is an integer number (8890728).

Almost surely, 2114437141 is an apocalyptic number.

It is an amenable number.

114437141 is a deficient number, since it is larger than the sum of its proper divisors (27814507).

114437141 is a wasteful number, since it uses less digits than its factorization.

114437141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12572.

The product of its digits is 1344, while the sum is 26.

The square root of 114437141 is about 10697.5296681056. The cubic root of 114437141 is about 485.4997378489.

The spelling of 114437141 in words is "one hundred fourteen million, four hundred thirty-seven thousand, one hundred forty-one".

Divisors: 1 7 13 91 101 707 1313 9191 12451 87157 161863 1133041 1257551 8802857 16348163 114437141