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3142277120 = 2115476529
BaseRepresentation
bin1011101101001011…
…0101100000000000
322002222202012212002
42323102311200000
522413410331440
61235445523132
7140603625533
oct27322654000
98088665762
103142277120
111372808344
127384134a8
133b100b198
1421b480a1a
15135cea115
hexbb4b5800

3142277120 has 96 divisors (see below), whose sum is σ = 7701220800. Its totient is φ = 1229979648.

The previous prime is 3142277119. The next prime is 3142277213. The reversal of 3142277120 is 217722413.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 478016 + ... + 484544.

It is an arithmetic number, because the mean of its divisors is an integer number (80221050).

Almost surely, 23142277120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3142277120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3850610400).

3142277120 is an abundant number, since it is smaller than the sum of its proper divisors (4558943680).

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

3142277120 is an equidigital number, since it uses as much as digits as its factorization.

3142277120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6603 (or 6583 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 3142277120 is about 56056.0176965863. The cubic root of 3142277120 is about 1464.6982445666.

Adding to 3142277120 its reverse (217722413), we get a palindrome (3359999533).

The spelling of 3142277120 in words is "three billion, one hundred forty-two million, two hundred seventy-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 128 160 188 235 256 320 376 470 512 640 752 940 1024 1280 1504 1880 2048 2560 3008 3760 5120 6016 6529 7520 10240 12032 13058 15040 24064 26116 30080 32645 48128 52232 60160 65290 96256 104464 120320 130580 208928 240640 261160 306863 417856 481280 522320 613726 835712 1044640 1227452 1534315 1671424 2089280 2454904 3068630 3342848 4178560 4909808 6137260 6685696 8357120 9819616 12274520 13371392 16714240 19639232 24549040 33428480 39278464 49098080 66856960 78556928 98196160 157113856 196392320 314227712 392784640 628455424 785569280 1571138560 3142277120