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3142133324 = 22112174383107
BaseRepresentation
bin1011101101001001…
…0010011001001100
322002222110220121022
42323102102121030
522413341231244
61235442453312
7140602456361
oct27322223114
98088426538
103142133324
11137271a300
12738364238
133b0c8a8b5
1421b444468
15135cbc6ee
hexbb49264c

3142133324 has 144 divisors (see below), whose sum is σ = 6689257344. Its totient is φ = 1285025280.

The previous prime is 3142133261. The next prime is 3142133377. The reversal of 3142133324 is 4233312413.

It is a junction number, because it is equal to n+sod(n) for n = 3142133293 and 3142133302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29365679 + ... + 29365785.

It is an arithmetic number, because the mean of its divisors is an integer number (46453176).

Almost surely, 23142133324 is an apocalyptic number.

3142133324 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3142133324 is an abundant number, since it is smaller than the sum of its proper divisors (3547124020).

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

3142133324 is a wasteful number, since it uses less digits than its factorization.

3142133324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 263 counting only the distinct ones).

The product of its digits is 5184, while the sum is 26.

The square root of 3142133324 is about 56054.7350720704. The cubic root of 3142133324 is about 1464.6759018564.

Adding to 3142133324 its reverse (4233312413), we get a palindrome (7375445737).

Subtracting 3142133324 from its reverse (4233312413), we obtain a square (1091179089 = 330332).

The spelling of 3142133324 in words is "three billion, one hundred forty-two million, one hundred thirty-three thousand, three hundred twenty-four".

Divisors: 1 2 4 11 17 22 34 43 44 68 83 86 107 121 166 172 187 214 242 332 374 428 473 484 731 748 913 946 1177 1411 1462 1819 1826 1892 2057 2354 2822 2924 3569 3638 3652 4114 4601 4708 5203 5644 7138 7276 8041 8228 8881 9202 10043 10406 12947 14276 15521 16082 17762 18404 20009 20086 20812 25894 31042 32164 35524 39259 40018 40172 50611 51788 60673 62084 78217 78518 80036 88451 97691 101222 121346 150977 156434 157036 170731 176902 195382 202444 220099 242692 301954 312868 341462 353804 381883 390764 431849 440198 556721 603908 667403 682924 763766 860387 863698 880396 1074601 1113442 1334806 1527532 1660747 1720774 1727396 2149202 2226884 2669612 3321494 3441548 4200713 4298404 6492011 6642988 7341433 8401426 9464257 12984022 14682866 16802852 18268217 18928514 25968044 29365732 36536434 37857028 46207843 71412121 73072868 92415686 142824242 184831372 285648484 785533331 1571066662 3142133324