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147315141 = 32137157761
BaseRepresentation
bin10001100011111…
…01100111000101
3101021012101101100
420301331213011
5300203041031
622341250313
73436105131
oct1061754705
9337171340
10147315141
1176179056
1241403999
132469bb2c
14157ca3c1
15cdedde6
hex8c7d9c5

147315141 has 24 divisors (see below), whose sum is σ = 215990424. Its totient is φ = 96744960.

The previous prime is 147315137. The next prime is 147315199. The reversal of 147315141 is 141513741.

147315141 is a `hidden beast` number, since 1 + 473 + 151 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 202500 + 147112641 = 450^2 + 12129^2 .

It is not a de Polignac number, because 147315141 - 22 = 147315137 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147315101) 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, 193201 + ... + 193961.

It is an arithmetic number, because the mean of its divisors is an integer number (8999601).

Almost surely, 2147315141 is an apocalyptic number.

It is an amenable number.

147315141 is a deficient number, since it is larger than the sum of its proper divisors (68675283).

147315141 is a wasteful number, since it uses less digits than its factorization.

147315141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1058 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 147315141 is about 12137.3448908730. The cubic root of 147315141 is about 528.1400820641.

Adding to 147315141 its reverse (141513741), we get a palindrome (288828882).

It can be divided in two parts, 147315 and 141, that added together give a square (147456 = 3842).

The spelling of 147315141 in words is "one hundred forty-seven million, three hundred fifteen thousand, one hundred forty-one".

Divisors: 1 3 9 137 157 411 471 761 1233 1413 2283 6849 21509 64527 104257 119477 193581 312771 358431 938313 1075293 16368349 49105047 147315141