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407058141 = 37211632381
BaseRepresentation
bin11000010000110…
…011011011011101
31001100221200210110
4120100303123131
51313201330031
6104220400233
713041636300
oct3020633335
91040850713
10407058141
11199856896
12b43a6079
1366443109
143c0c0b37
1525b09c46
hex184336dd

407058141 has 24 divisors (see below), whose sum is σ = 632163744. Its totient is φ = 232307040.

The previous prime is 407058137. The next prime is 407058187. The reversal of 407058141 is 141850704.

It is not a de Polignac number, because 407058141 - 22 = 407058137 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 407058099 and 407058108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407058341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169771 + ... + 172151.

It is an arithmetic number, because the mean of its divisors is an integer number (26340156).

Almost surely, 2407058141 is an apocalyptic number.

It is an amenable number.

407058141 is a deficient number, since it is larger than the sum of its proper divisors (225105603).

407058141 is a wasteful number, since it uses less digits than its factorization.

407058141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3561 (or 3554 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 407058141 is about 20175.6819215609. The cubic root of 407058141 is about 741.1147922349.

The spelling of 407058141 in words is "four hundred seven million, fifty-eight thousand, one hundred forty-one".

Divisors: 1 3 7 21 49 147 1163 2381 3489 7143 8141 16667 24423 50001 56987 116669 170961 350007 2769103 8307309 19383721 58151163 135686047 407058141