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2314143342 = 2327197431301
BaseRepresentation
bin1000100111101111…
…0000011001101110
312222021110122212200
42021323300121232
514214410041332
61021344042330
7111226615410
oct21173603156
95867418780
102314143342
11a88301165
125470033a6
132ab5878b4
1417d4b09b0
15d826717c
hex89ef066e

2314143342 has 96 divisors (see below), whose sum is σ = 6044613120. Its totient is φ = 625060800.

The previous prime is 2314143329. The next prime is 2314143353. The reversal of 2314143342 is 2433414132.

2314143342 is a `hidden beast` number, since 2 + 314 + 1 + 4 + 3 + 342 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1778092 + ... + 1779392.

It is an arithmetic number, because the mean of its divisors is an integer number (62964720).

Almost surely, 22314143342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2314143342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3022306560).

2314143342 is an abundant number, since it is smaller than the sum of its proper divisors (3730469778).

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

2314143342 is a wasteful number, since it uses less digits than its factorization.

2314143342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078 (or 2075 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 2314143342 is about 48105.5437761595. The cubic root of 2314143342 is about 1322.7062900055.

Adding to 2314143342 its reverse (2433414132), we get a palindrome (4747557474).

The spelling of 2314143342 in words is "two billion, three hundred fourteen million, one hundred forty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 743 798 1197 1301 1486 2229 2394 2602 3903 4458 5201 6687 7806 9107 10402 11709 13374 14117 15603 18214 23418 24719 27321 28234 31206 42351 46809 49438 54642 74157 81963 84702 93618 98819 127053 148314 163926 173033 197638 222471 254106 296457 346066 444942 519099 592914 889371 966643 1038198 1557297 1778742 1933286 2899929 3114594 5799858 6766501 8699787 13533002 17399574 18366217 20299503 36732434 40599006 55098651 60898509 110197302 121797018 128563519 165295953 257127038 330591906 385690557 771381114 1157071671 2314143342