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3124141044040 = 235891471596579
BaseRepresentation
bin101101011101100101010…
…100010011000101001000
3102001122221202112201110001
4231131211110103011020
5402141220101402130
610351113252532344
7441466061502142
oct55354524230510
912048852481401
103124141044040
11aa4a3919a545
124255906210b4
131987b3920293
14ab2d01c9c92
15563ed0306ca
hex2d765513148

3124141044040 has 64 divisors (see below), whose sum is σ = 7113142656000. Its totient is φ = 1234773281280.

The previous prime is 3124141044007. The next prime is 3124141044053. The reversal of 3124141044040 is 404401414213.

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 15 ways as a sum of consecutive naturals, for example, 4938471 + ... + 5535049.

It is an arithmetic number, because the mean of its divisors is an integer number (111142854000).

Almost surely, 23124141044040 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 3124141044040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3556571328000).

3124141044040 is an abundant number, since it is smaller than the sum of its proper divisors (3989001611960).

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

3124141044040 is a wasteful number, since it uses less digits than its factorization.

3124141044040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598150 (or 598146 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 3124141044040 its reverse (404401414213), we get a palindrome (3528542458253).

It can be divided in two parts, 31241 and 41044040, that added together give a square (41075281 = 64092).

The spelling of 3124141044040 in words is "three trillion, one hundred twenty-four billion, one hundred forty-one million, forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 89 178 356 445 712 890 1471 1780 2942 3560 5884 7355 11768 14710 29420 58840 130919 261838 523676 596579 654595 1047352 1193158 1309190 2386316 2618380 2982895 4772632 5236760 5965790 11931580 23863160 53095531 106191062 212382124 265477655 424764248 530955310 877567709 1061910620 1755135418 2123821240 3510270836 4387838545 7020541672 8775677090 17551354180 35102708360 78103526101 156207052202 312414104404 390517630505 624828208808 781035261010 1562070522020 3124141044040