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3142124412 = 2237231223773
BaseRepresentation
bin1011101101001001…
…0000001101111100
322002222110110101020
42323102100031330
522413340440122
61235442344140
7140602421400
oct27322201574
98088413336
103142124412
111372713639
1273835b050
133b0c8681b
1421b441100
15135cb9c5c
hexbb49037c

3142124412 has 144 divisors (see below), whose sum is σ = 8854659072. Its totient is φ = 863775360.

The previous prime is 3142124407. The next prime is 3142124459. The reversal of 3142124412 is 2144212413.

3142124412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 4064458 + ... + 4065230.

It is an arithmetic number, because the mean of its divisors is an integer number (61490688).

Almost surely, 23142124412 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 3142124412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4427329536).

3142124412 is an abundant number, since it is smaller than the sum of its proper divisors (5712534660).

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

3142124412 is a wasteful number, since it uses less digits than its factorization.

3142124412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1039 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 3142124412 is about 56054.6555782836. The cubic root of 3142124412 is about 1464.6745171067.

Adding to 3142124412 its reverse (2144212413), we get a palindrome (5286336825).

The spelling of 3142124412 in words is "three billion, one hundred forty-two million, one hundred twenty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 49 62 84 93 98 124 147 186 196 217 223 294 372 434 446 588 651 669 773 868 892 1302 1338 1519 1546 1561 2319 2604 2676 3038 3092 3122 4557 4638 4683 5411 6076 6244 6913 9114 9276 9366 10822 10927 13826 16233 18228 18732 20739 21644 21854 23963 27652 32466 32781 37877 41478 43708 47926 48391 64932 65562 71889 75754 82956 95852 96782 113631 131124 143778 145173 151508 167741 172379 193564 227262 287556 290346 335482 338737 344758 454524 503223 517137 580692 670964 677474 689516 1006446 1016211 1034274 1174187 1206653 1354948 2012892 2032422 2068548 2348374 2413306 3522561 3619959 4064844 4696748 4826612 5343749 7045122 7239918 8446571 10687498 14090244 14479836 16031247 16893142 21374996 25339713 32062494 33786284 37406243 50679426 64124988 74812486 101358852 112218729 149624972 224437458 261843701 448874916 523687402 785531103 1047374804 1571062206 3142124412