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3142055004 = 22311192275519
BaseRepresentation
bin1011101101000111…
…1111010001011100
322002222022221011120
42323101333101130
522413331230004
61235441050540
7140602012134
oct27321772134
98088287146
103142055004
111372676480
12738326a50
133b0c6105a
1421b423ac4
15135ca43d9
hexbb47f45c

3142055004 has 96 divisors (see below), whose sum is σ = 8457523200. Its totient is φ = 897888960.

The previous prime is 3142054997. The next prime is 3142055011. The reversal of 3142055004 is 4005502413.

It is an interprime number because it is at equal distance from previous prime (3142054997) and next prime (3142055011).

It is a super-2 number, since 2×31420550042 = 19745019296322880032, which contains 22 as substring.

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, 566557 + ... + 572075.

It is an arithmetic number, because the mean of its divisors is an integer number (88099200).

Almost surely, 23142055004 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 3142055004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4228761600).

3142055004 is an abundant number, since it is smaller than the sum of its proper divisors (5315468196).

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

3142055004 is a wasteful number, since it uses less digits than its factorization.

3142055004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5783 (or 5781 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 3142055004 is about 56054.0364648256. The cubic root of 3142055004 is about 1464.6637323781.

Adding to 3142055004 its reverse (4005502413), we get a palindrome (7147557417).

The spelling of 3142055004 in words is "three billion, one hundred forty-two million, fifty-five thousand, four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 227 228 418 454 627 681 836 908 1254 1362 2497 2508 2724 4313 4994 5519 7491 8626 9988 11038 12939 14982 16557 17252 22076 25878 29964 33114 47443 51756 60709 66228 94886 104861 121418 142329 182127 189772 209722 242836 284658 314583 364254 419444 569316 629166 728508 1153471 1252813 1258332 2306942 2505626 3460413 3758439 4613884 5011252 6920826 7516878 13780943 13841652 15033756 23803447 27561886 41342829 47606894 55123772 71410341 82685658 95213788 142820682 165371316 261837917 285641364 523675834 785513751 1047351668 1571027502 3142055004