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4131031860036 = 2232292116812
BaseRepresentation
bin111100000111010100101…
…011111100001101000100
3112121220220201020212102100
4330013110223330031010
51020140323124010121
612441434141312100
7604312551304554
oct74072453741504
915556821225370
104131031860036
111352a62875494
12568756265630
1323c7296b3c23
14103d2b88b164
15726ce6e5026
hex3c1d4afc344

4131031860036 has 81 divisors (see below), whose sum is σ = 10815753389623. Its totient is φ = 1329413675520.

The previous prime is 4131031860001. The next prime is 4131031860071. The reversal of 4131031860036 is 6300681301314.

The square root of 4131031860036 is 2032494.

It is a perfect power (a square), and thus also a powerful number.

4131031860036 is a `hidden beast` number, since 4 + 1 + 3 + 1 + 0 + 3 + 18 + 600 + 36 = 666.

4131031860036 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4131031860001) and next prime (4131031860071).

It can be written as a sum of positive squares in 4 ways, for example, as 4120869636 + 4126910990400 = 64194^2 + 2031480^2 .

It is a super-3 number, since 3×41310318600363 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 353648116 + ... + 353659796.

Almost surely, 24131031860036 is an apocalyptic number.

4131031860036 is the 2032494-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4131031860036

4131031860036 is an abundant number, since it is smaller than the sum of its proper divisors (6684721529587).

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

4131031860036 is an equidigital number, since it uses as much as digits as its factorization.

4131031860036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23430 (or 11715 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Multiplying 4131031860036 by its sum of digits (36), we get a square (148717146961296 = 121949642).

4131031860036 divided by its sum of digits (36) gives a square (114750885001 = 3387492).

The spelling of 4131031860036 in words is "four trillion, one hundred thirty-one billion, thirty-one million, eight hundred sixty thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 841 1044 1682 2523 3364 5046 7569 10092 11681 15138 23362 30276 35043 46724 70086 105129 140172 210258 338749 420516 677498 1016247 1354996 2032494 3048741 4064988 6097482 9823721 12194964 19647442 29471163 39294884 58942326 88413489 117884652 136445761 176826978 272891522 353653956 409337283 545783044 818674566 1228011849 1637349132 2456023698 3956927069 4912047396 7913854138 11870781207 15827708276 23741562414 35612343621 47483124828 71224687242 114750885001 142449374484 229501770002 344252655003 459003540004 688505310006 1032757965009 1377010620012 2065515930018 4131031860036