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1451342466 = 2327212591307
BaseRepresentation
bin101011010000001…
…1011101010000010
310202010221211120200
41112200123222002
510433020424331
6400003150030
750652131100
oct12640335202
93663854520
101451342466
11685277092
12346075316
131a18b6c32
14daa78c70
15876375e6
hex5681ba82

1451342466 has 72 divisors (see below), whose sum is σ = 3663681840. Its totient is φ = 414022896.

The previous prime is 1451342449. The next prime is 1451342467. The reversal of 1451342466 is 6642431541.

1451342466 is a `hidden beast` number, since 145 + 13 + 42 + 466 = 666.

It is a super-2 number, since 2×14513424662 = 4212789907229922312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1451342466.

It is not an unprimeable number, because it can be changed into a prime (1451342467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1109785 + ... + 1111091.

It is an arithmetic number, because the mean of its divisors is an integer number (50884470).

Almost surely, 21451342466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1451342466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1831840920).

1451342466 is an abundant number, since it is smaller than the sum of its proper divisors (2212339374).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1451342466 is a wasteful number, since it uses less digits than its factorization.

1451342466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2588 (or 2578 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 1451342466 is about 38096.4888933350. The cubic root of 1451342466 is about 1132.2003920687.

The spelling of 1451342466 in words is "one billion, four hundred fifty-one million, three hundred forty-two thousand, four hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 1259 1307 2518 2614 3777 3921 7554 7842 8813 9149 11331 11763 17626 18298 22662 23526 26439 27447 52878 54894 61691 64043 79317 82341 123382 128086 158634 164682 185073 192129 370146 384258 555219 576387 1110438 1152774 1645513 3291026 4936539 9873078 11518591 14809617 23037182 29619234 34555773 69111546 80630137 103667319 161260274 207334638 241890411 483780822 725671233 1451342466