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404264141 = 4161161641
BaseRepresentation
bin11000000110001…
…001010011001101
31001011200202010222
4120012021103031
51311442423031
6104040441125
713006121441
oct3006112315
91034622128
10404264141
111982186a6
12b34791a5
13659a5468
143b994821
1525756e7b
hex181894cd

404264141 has 8 divisors (see below), whose sum is σ = 420915768. Its totient is φ = 387936000.

The previous prime is 404264137. The next prime is 404264143. The reversal of 404264141 is 141462404.

It can be written as a sum of positive squares in 4 ways, for example, as 26739241 + 377524900 = 5171^2 + 19430^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 404264141 - 22 = 404264137 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 404264141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404264143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78320 + ... + 83321.

It is an arithmetic number, because the mean of its divisors is an integer number (52614471).

Almost surely, 2404264141 is an apocalyptic number.

404264141 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

404264141 is a deficient number, since it is larger than the sum of its proper divisors (16651627).

404264141 is a wasteful number, since it uses less digits than its factorization.

404264141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161743.

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 404264141 is about 20106.3209215411. The cubic root of 404264141 is about 739.4152557369.

The spelling of 404264141 in words is "four hundred four million, two hundred sixty-four thousand, one hundred forty-one".

Divisors: 1 41 61 2501 161641 6627281 9860101 404264141