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42144309 = 3217275453
BaseRepresentation
bin1010000011000…
…1001000110101
32221022011010100
42200301020311
541242104214
64103144313
71021135464
oct240611065
987264110
1042144309
1121875709
1212145099
13896787c
1458509db
153a77309
hex2831235

42144309 has 12 divisors (see below), whose sum is σ = 64456236. Its totient is φ = 26443392.

The previous prime is 42144307. The next prime is 42144331. The reversal of 42144309 is 90344124.

It can be written as a sum of positive squares in 2 ways, for example, as 19847025 + 22297284 = 4455^2 + 4722^2 .

It is not a de Polignac number, because 42144309 - 21 = 42144307 is a prime.

It is a super-2 number, since 2×421443092 = 3552285562174962, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42144301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137574 + ... + 137879.

It is an arithmetic number, because the mean of its divisors is an integer number (5371353).

Almost surely, 242144309 is an apocalyptic number.

It is an amenable number.

42144309 is a deficient number, since it is larger than the sum of its proper divisors (22311927).

42144309 is a wasteful number, since it uses less digits than its factorization.

42144309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275476 (or 275473 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 42144309 is about 6491.8648322343. The cubic root of 42144309 is about 348.0003220370. Note that the first 3 decimals are identical.

The spelling of 42144309 in words is "forty-two million, one hundred forty-four thousand, three hundred nine".

Divisors: 1 3 9 17 51 153 275453 826359 2479077 4682701 14048103 42144309