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3143414010 = 2351197283347
BaseRepresentation
bin1011101101011100…
…1011000011111010
322010001212222101010
42323113023003322
522414203222020
61235530134350
7140616402222
oct27327130372
98101788333
103143414010
111373414520
127388813b6
133b13187b9
1421b699082
15135e71de0
hexbb5cb0fa

3143414010 has 128 divisors (see below), whose sum is σ = 8368303104. Its totient is φ = 749352960.

The previous prime is 3143413991. The next prime is 3143414129. The reversal of 3143414010 is 104143413.

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 63 ways as a sum of consecutive naturals, for example, 9058657 + ... + 9059003.

It is an arithmetic number, because the mean of its divisors is an integer number (65377368).

Almost surely, 23143414010 is an apocalyptic number.

3143414010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3143414010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4184151552).

3143414010 is an abundant number, since it is smaller than the sum of its proper divisors (5224889094).

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

3143414010 is a wasteful number, since it uses less digits than its factorization.

3143414010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3143414010 is about 56066.1574392253. The cubic root of 3143414010 is about 1464.8748680722.

Adding to 3143414010 its reverse (104143413), we get a palindrome (3247557423).

The spelling of 3143414010 in words is "three billion, one hundred forty-three million, four hundred fourteen thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 97 110 165 194 283 291 330 347 485 566 582 694 849 970 1041 1067 1415 1455 1698 1735 2082 2134 2830 2910 3113 3201 3470 3817 4245 5205 5335 6226 6402 7634 8490 9339 10410 10670 11451 15565 16005 18678 19085 22902 27451 31130 32010 33659 38170 46695 54902 57255 67318 82353 93390 98201 100977 114510 137255 164706 168295 196402 201954 274510 294603 301961 336590 370249 411765 491005 504885 589206 603922 740498 823530 905883 982010 1009770 1080211 1110747 1473015 1509805 1811766 1851245 2160422 2221494 2946030 3019610 3240633 3702490 4529415 5401055 5553735 6481266 9058830 9525497 10802110 11107470 16203165 19050994 28576491 32406330 47627485 57152982 95254970 104780467 142882455 209560934 285764910 314341401 523902335 628682802 1047804670 1571707005 3143414010