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3144134040 = 23352310111279
BaseRepresentation
bin1011101101100111…
…1010110110011000
322010010020120001220
42323121322312120
522414344242130
61235553412040
7140625461355
oct27331726630
98103216056
103144134040
111373866493
12738b6a020
133b150b458
1421b80562c
15136065410
hexbb67ad98

3144134040 has 128 divisors (see below), whose sum is σ = 9940838400. Its totient is φ = 793971200.

The previous prime is 3144134029. The next prime is 3144134057. The reversal of 3144134040 is 404314413.

It is a super-2 number, since 2×31441340402 = 19771157722973443200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3144134040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273121 + ... + 284399.

It is an arithmetic number, because the mean of its divisors is an integer number (77662800).

Almost surely, 23144134040 is an apocalyptic number.

3144134040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3144134040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4970419200).

3144134040 is an abundant number, since it is smaller than the sum of its proper divisors (6796704360).

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

3144134040 is a wasteful number, since it uses less digits than its factorization.

3144134040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11417 (or 11413 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3144134040 is about 56072.5783248818. The cubic root of 3144134040 is about 1464.9867075483.

Adding to 3144134040 its reverse (404314413), we get a palindrome (3548448453).

The spelling of 3144134040 in words is "three billion, one hundred forty-four million, one hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 101 115 120 138 184 202 230 276 303 345 404 460 505 552 606 690 808 920 1010 1212 1380 1515 2020 2323 2424 2760 3030 4040 4646 6060 6969 9292 11279 11615 12120 13938 18584 22558 23230 27876 33837 34845 45116 46460 55752 56395 67674 69690 90232 92920 112790 135348 139380 169185 225580 259417 270696 278760 338370 451160 518834 676740 778251 1037668 1139179 1297085 1353480 1556502 2075336 2278358 2594170 3113004 3417537 3891255 4556716 5188340 5695895 6226008 6835074 7782510 9113432 10376680 11391790 13670148 15565020 17087685 22783580 26201117 27340296 31130040 34175370 45567160 52402234 68350740 78603351 104804468 131005585 136701480 157206702 209608936 262011170 314413404 393016755 524022340 628826808 786033510 1048044680 1572067020 3144134040