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541409141 = 71331241151
BaseRepresentation
bin100000010001010…
…011111101110101
31101201202102201102
4200101103331311
52102100043031
6125420135445
716262621210
oct4021237565
91351672642
10541409141
1125867a779
12131397585
1388223150
1451c94777
15327e77cb
hex20453f75

541409141 has 48 divisors (see below), whose sum is σ = 710002944. Its totient is φ = 401760000.

The previous prime is 541409131. The next prime is 541409153. The reversal of 541409141 is 141904145.

541409141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 541409141 - 210 = 541408117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541409131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3585416 + ... + 3585566.

It is an arithmetic number, because the mean of its divisors is an integer number (14791728).

Almost surely, 2541409141 is an apocalyptic number.

It is an amenable number.

541409141 is a deficient number, since it is larger than the sum of its proper divisors (168593803).

541409141 is a wasteful number, since it uses less digits than its factorization.

541409141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 541409141 is about 23268.2002097283. The cubic root of 541409141 is about 815.0330025403.

The spelling of 541409141 in words is "five hundred forty-one million, four hundred nine thousand, one hundred forty-one".

Divisors: 1 7 13 31 41 91 151 217 287 403 533 961 1057 1271 1963 2821 3731 4681 6191 6727 8897 12493 13741 16523 32767 39401 43337 60853 80483 87451 115661 145111 191921 275807 425971 512213 563381 1015777 1343447 1886443 2494973 3585491 5949551 13205101 17464811 41646857 77344163 541409141