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414095941 = 7412396037
BaseRepresentation
bin11000101011101…
…001101001000101
31001212012020211201
4120223221221011
51322002032231
6105031302501
713155520540
oct3053515105
91055166751
10414095941
111a2823456
12b681aa31
1367a385ac
143cdd3857
152654a161
hex18ae9a45

414095941 has 16 divisors (see below), whose sum is σ = 486904320. Its totient is φ = 344776320.

The previous prime is 414095939. The next prime is 414095953. The reversal of 414095941 is 149590414.

It is not a de Polignac number, because 414095941 - 21 = 414095939 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 414095941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414095921) 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, 65575 + ... + 71611.

It is an arithmetic number, because the mean of its divisors is an integer number (30431520).

Almost surely, 2414095941 is an apocalyptic number.

414095941 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

414095941 is a deficient number, since it is larger than the sum of its proper divisors (72808379).

414095941 is a wasteful number, since it uses less digits than its factorization.

414095941 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6324.

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 414095941 is about 20349.3474342545. The cubic root of 414095941 is about 745.3615595584.

The spelling of 414095941 in words is "four hundred fourteen million, ninety-five thousand, nine hundred forty-one".

Divisors: 1 7 41 239 287 1673 6037 9799 42259 68593 247517 1442843 1732619 10099901 59156563 414095941